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  • Online publication date: October 2017

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Quantum Field Theory Approach to Condensed Matter Physics
  • Online ISBN: 9781139696548
  • Book DOI: https://doi.org/10.1017/9781139696548
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[1] A., Einstein, Annalen der Physik 22, 180 (1907) (in German)
[2] G., Bednorz and A. K., Müller, Z. Physik B64, 189 (1986)
[3] A. P., Drozdov, M. I., Eremets, I. A., Troyan, V., Ksenofontov and S. I., Shylin, Nature 525, 73 (2015)
[4] Y., Kamihara, T., Watanabe, M., Hirano and H., Hosono, J. Am. Chem. Soc. 130, 3296 (2008)
[5] M., Gell-Mann and F., Low, Phys. Rev. 95, 1300 (1954)
[6] C. G., Callan, Phys. Rev. D2, 1541 (1970); K. Symanzik, Comm. Math. Phys. 18, 227 (1970)
[7] Gt, Hooft, Nucl. Phys. B61, 455 (1973); S.Weinberg, Phys. Rev. D8, 3497 (1973)
[8] S., Coleman, Aspects of Symmetry , Cambridge University Press, Cambridge, UK (1985)
[9] J., Goldstone, A., Salam and S., Weinberg, Phys. Rev. 127, 965 (1962)
[10] P. W., Anderson, Phys. Rev. 130, 439 (1962)
[11] P. W., Higgs, Phys. Rev. Lett. 13, 508 (1964)
[12] F., Englert and R., Brout, Phys. Rev. Lett. 13, 321 (1964)
[13] G. S., Guralnik, C. R., Hagen and T. W. B., Kibble, Phys. Rev. Lett. 13, 585 (1964)
[14] D., Kastler, D. W., Robinson and J. A., Swieca, Commun. Math. Phys. 2, 108 (1966)
[15] E. C., Marino and L. H. C. M., Nunes, Nucl. Phys. B741, 404 (2006)
[16] E. C., Marino and L. H. C. M., Nunes, Nucl. Phys. B769, 275 (2007)
[17] L., Mondaini, E. C., Marino and A. A., Schmidt, J. of Phys. A42, 055401 (2009)
[18] H. B., Nielsen and P., Olesen, Nucl. Phys. B61, 45 (1973)
[19] S. W., Lovesey, Theory of Neutron Scattering from Condensed Matter , Clarendon Press, Oxford, UK (1986)
[20] A. A., Belavin and A. M., Polyakov, JETP Lett. 22, 245 (1975)
[21] T., Skyrme, Proc. R. Soc. London 262, 237 (1961)
[22] H., Georgi and S., Glashow, Phys. Rev. Lett. 32, 438 (1974)
[23] G., t Hooft, Nucl. Phys. B79, 276 (1974)
[24] A. M., Polyakov, JETP Lett. 20, 194 (1975)
[25] R., Köberle and E. C., Marino, Phys. Lett. B126, 475 (1983)
[26] B., Schroer, in The Algebraic Theory of Superselection Sectors , D., Kastler, ed., World Scientific, Singapore, pp. 499, 587 (1990)
[27] B., Schroer, Differential Methods in Theoretical Physics: Physics and Geometry , L-L, Chau and W., Nahm, eds., Springer, New York, p. 138 (1990)
[28] G., t Hooft, Nucl. Phys. B138, 1 (1978)
[29] H. A., Kramers and G. H., Wannier, Phys. Rev. 60, 252 (1941)
[30] L. P., Kadanoff and H., Ceva, Phys. Rev. B3, 3918 (1971)
[31] E. C., Marino and J. A., Swieca, Nucl. Phys. B170 [FS1], 175 (1980)
[32] E. C., Marino, B., Schroer and J. A., Swieca, Nucl. Phys. B200 [FS4], 499 (1982)
[33] E. C., Marino, Nucl. Phys. B217, 413 (1983)
[34] E. C., Marino, Nucl. Phys. B230 [FS10], 149 (1984)
[35] E. C., Marino, Phys. Rev. D38, 3194 (1988)
[36] E. C., Marino and J. E., Stephany Ruiz, Phys. Rev. D39, 3690 (1989)
[37] K., Furuya and E. C., Marino, Phys. Rev. D41, 727 (1990)
[38] E. C., Marino, Int. J. Mod. Phys. A10, 4311 (1995)
[39] E. C., Marino, G. C., Marques, R. O., Ramos and J. E., Stephany Ruiz, Phys. Rev. D45, 3690 (1992)
[40] E. C., Marino, Phys. Rev. D55, 5234 (1997)
[41] E. C., Marino, Ann. of Phys. 224, 225 (1993)
[42] E. C., Marino, J. of Phys A: Math. and Gen. 39, L277 (2006)
[43] E. C., Marino, “Dual Quantization of Solitons” in Applications of Statistical and Field Theory Methods to Condensed Matter, D. Baeriswyl, A. Bishop and J. Carmelo, eds., NATO Advanced Studies Institute Series B (Physics) 218, Plenum Press, New York (1990)[44] J. Fröhlich and P. A. Marchetti, Commun. Math. Phys. 112, 343 (1987); Europhys. Lett. 2, 933 (1986)
[45] J. Fröhlich and P. A. Marchetti, Commun. Math. Phys. 116, 127 (1988)
[46] E., Fradkin and L., Susskind, Phys. Rev. D17, 2637 (1978)
[47] J. B., Kogut, Rev. Mod. Phys. 51, 659 (1979)
[48] H., Araki, K., Hepp and D., Ruelle, Helv. Phys. Acta 35, 164 (1962)
[49] E., Bogomolnyi, Sov, J. Nuc. Phys. 24, 449 (1976); E. Bogomolnyi and M. S. Marinov, Sov. J. Nuc. Phys. 23, 355449 (1976)
[50] M., Prasad and C., Sommerfield, Phys. Rev. Lett. 35, 760 (1975)
[51] T., Kirkman and C., Zachos, Phys. Rev. D24, 999 (1981)
[52] B., Klaiber, “The Thirring Model” in Boulder Lectures in Theoretical Physics (1967), Gordon and Breach, New York (1968), p. 141
[53] A. B., Zamolodchikov and Al. B., Zamolodchikov, Ann. Phys. (NY) 120, 253 (1979)
[54] V. E., Korepin, Commun. Math. Phys. 76, 165 (1980).
[55] W., Thirring, Ann. of Phys. 3, 91 (1968)
[56] J., Schwinger, Phys. Rev. 128, 2425 (1962)
[57] C. G., Callan, R., Dashen and D., Gross, Phys. Lett. B63, 334 (1976)
[58] R., Jackiw and C., Rebbi, Phys. Rev. Lett. 37, 172 (1976)
[59] F., Wilczek, Phys. Rev. Lett. 49, 957 (1982)
[60] A., Luther, Phys. Rep. 49, 261 (1979)
[61] J., Fröhlich and P. A., Marchetti, Lett. Math. Phys. 16, 347 (1988)
[62] S. N., Deser and A. N., Redlich, Phys. Rev. Lett. 61, 1541 (1988)
[63] M., Lüscher, Nucl. Phys. B326, 557 (1989)
[64] E., Fradkin and F. A., Schaposnik, Phys. Lett. B338, 253 (1994)
[65] F. A., Schaposnik, Phys. Lett. B356, 39 (1995)
[66] J. C., Le Guillou, C., Núñez and F. A., Schaposnik, Ann. of Phys. 251, 426 (1996)
[67] C. D., Fosco and F. A., Schaposnik, Phys. Lett. B391, 136 (1997)
[68] E. F., Moreno and F. A., Schaposnik, Phys. Rev. D88, 025033 (2013)
[69] D. G., Barci, C. D., Fosco and L. D., Oxman, Phys. Lett. B375, 267 (1996)
[70] C. P., Burgess, C., Lütken and F., Quevedo, Phys. Lett. B336, 18 (1994)
[71] E. C., Marino, Phys. Lett. B263, 63 (1991)
[72] E. C., Marino, J. of Stat. Mech.: Theory and Experiment 2017, 033103 (2017)
[73] S.-Y., Xu, C., Liu, S. K., Kushwaha, R., Sankar, J. W., Krizan, I., Belopolski, M., Neupane, G., Bian, N., Alidoust, T.-R., Chang, H.-T., Jeng, C.-Y., Huang, W.-F., Tsai, H., Lin, P. P., Shibayev, F.-C., Chou, R. J., Cava and M. Z., Hasan, Science 347, 294 (2015)
[74] S.-Y, Xu, I., Belopolski, N., Alidoust, M., Neupane, G., Bian, C., Zhang, R., Sankar, G., Chang, Z., Yuan, C.-C., Lee, S.-M., Huang, H., Zheng, J., Ma, D. S., Sanchez, B., Wang, A., Bansil, F., Chou, P. P., Shibayev, H., Lin, S., Jia and M. Z., Hasan, Science 349, 613 (2015)
[75] B. Q., Lv, H. M., Weng, B. B., Fu, X. P., Wang, H., Miao, J., Ma, P., Richard, X. C., Huang, L. X., Zhao, G. F., Chen, Z., Fang, X., Dai, T., Qian and H., Ding, Phys. Rev. X5, 031013 (2015)
[76] S., Adler, Phys. Rev. 177, 2496 (1969); J. S. Bell and R. Jackiw, N. Cimento A60, 47 (1969)
[77] G., t Hooft, Phys. Rep. 142, 357 (1986)
[78] H. B., Nielsen and M., Ninomiya, Phys. Lett. 130, 389 (1983)
[79] D. T., Son and B. Z., Spivak, Phys. Rev. B88, 104412 (2013)
[80] A. A., Burkov, Phys. Rev. B91, 245157 (2015); A. A. Burkov, J. Phys: Cond. Matter 27, 113201 (2015)
[81] X., Fustero, R., Gambini and A., Trias, Phys. Rev. Lett. 62, 1964 (1989); R. Gambini and R. Setaro, Phys. Rev. Lett. 65, 2623 (1990); H. Fort and R. Gambini, Phys. Lett. 372, 226 (1996)
[82] I. S., Gradshteyn and I. M., Ryzhik, Table of Integrals, Series and Products , Academic Press, New York (2007)
[83] L. V., Keldysh, Pis'ma Zh. Eksp. Teor. Fiz. 29, 716 (1979)
[84] N., Dorey and N. E., Mavromatos, Nucl. Phys. B386, 614 (1992)
[85] E. C., Marino, Phys. Lett. B393, 382 (1997)
[86] J., Barcelos-Neto and E. C., Marino, Europhys. Lett. 57, 473 (2002)
[87] J., Barcelos-Neto and E. C., Marino, Phys. Rev. D66, 127901 (2002)
[88] S., Deser, R., Jackiw and S., Templeton, Ann. Phys. 140, 372 (1982)
[89] E. C., Marino, Nucl. Phys. B408 [FS], 551 (1993)
[90] R. L. P. G., do Amaral and E. C., Marino, J. of Phys. A25, 5183 (1992)
[91] A. O., Caldeira and A., Leggett, Ann. of Phys. 149, 374 (1983)
[92] M. E., Peskin and D. V., Schroeder, An Introduction to Quantum Field Theory , Westview Press, Boulder, CO, USA (1995)
[93] E. C., Marino, L. O., Nascimento, V. S., Alves, C., Morais Smith, Phys. Rev. D90, 105003 (2014)
[94] S. F., Edwards and P. W., Anderson, J. of Phys. F5, 965 (1975)
[95] P. W., Anderson, Phys. Rev. 109, 1492 (1958)
[96] N. F., Mott, Proc. Phys. Soc. London Sect. A62, 416 (1949)
[97] E. C., Marino, Phys. Rev. Lett. 55, 2991 (1985)
[98] L. D., Landau and S. I., Pekar, Zh. Eksp. Teor. Fiz. 18, 419 (1948) [in Russian]; Ukr. J. Phys. 53 (Special Issue), 71 (2008) [English]
[99] H., Fröhlich, Adv. Phys. 3, 325 (1954)
[100] R. P., Feynman, Phys. Rev. 97, 660 (1955)
[101] J. T., Devreese, “Optical Properties of Fröhlich Polarons” in Polarons in Advanced Materials, A. S., Alexandrov, ed., Springer (2007)
[102] A. S., Alexandrov, “ Superconducting Polarons and Bipolarons” in Polarons in Advanced Materials , A. S., Alexandrov, ed., Springer (2007)
[103] W. P., Su, J. R., Schrieffer and A. J., Heeger, Phys. Rev. Lett. 42, 698 (1979); Phys. Rev. B22, 2099 (1980)
[104] H., Takayama, Y. R., Lin-Liu and K., Maki, Phys. Rev. B21, 2388 (1980)
[105] D., Gross and A., Neveu, Phys. Rev. D15, 3235 (1974)
[106] D. K., Campbell and A. R., Bishop, Nucl. Phys. B200 [FS4], 297 (1982); K. Fesser, D. K. Campbell and A. R. Bishop, Phys. Rev. B27, 4804 (1983)
[107] H., Yukawa, Proc. Phys. Math. Soc. of Japan 17, 48 (1935)
[108] C. M. G., Lattes, H., Muirhead, G. P. S., Occhialini and C. F., Powell, Nature 159, 694 (1947); C. M. G. Lattes, G. P. S. Occhialini and C. F. Powell, Nature 160, 453 (1947)
[109] P. G., de Gennes, Superconductivity of Metals and Alloys , Benjamin, New York, (1966)
[110] N., Suzuki, M., Ozaki, S., Etemad, A. J., Heeger and A. G., MacDiarmid, Phys. Rev. Lett. 45, 1209 (1980); A. Feldblum, J. Kaufman, S. Etemad, A. J. Heeger, T.-C. Chung and A. G. MacDiarmid, Phys. Rev. B 26, 819 (1982)
[111] A., Feldblum, A. J., Heeger, T.-C., Chung and A. G., Mac Diarmid, J. Chem. Phys. 77, 5114 (1982); L. Lauchlan, S. Etemad, T.-C. Chung and A. J. Heeger, Phys. Rev. B 24, 1 (1981)
[112] J., Orenstein and G. L., Baker, Phys. Rev. Lett. 49, 1043 (1982)
[113] R., Jackiw and C., Rebbi, Phys. Rev. D13, 3398 (1976)
[114] R., Jackiw and P., Rossi, Nucl. Phys. B190, 681 (1981)
[115] R., Jackiw and J. R., Schrieffer, Nucl. Phys. B190, 253 (1981)
[116] C. K., Chiang, C. R., Fincher, Y.W., Park, A. J., Heeger, H., Shirakawa, E. J., Louis, S. C., Gau and A. G., MacDiarmid, Phys. Rev. Lett. 39, 1098 (1977)
[117] M. F., Atiyah and I. M., Singer, Bull. Amer. Math. Soc. 69, 422 (1963)
[118] P., Jordan and E., Wigner, Z. Phys. 47, 631 (1928).
[119] I., Affleck, Phys. Rev. Lett. 56, 2763 (1986)
[120] A., Gogolin, A., Nersesyan and A., Tsvelik, Bosonization and Strongly Correlated Systems , Cambridge University Press, Cambridge, UK (1998)
[121] S., Coleman, Phys. Rev. D11, 2088 (1975)
[122] S. T., Chui and P. A., Lee, Phys. Rev. Lett. 35, 315 (1975)
[123] S., Samuel, Phys. Rev. D18, 1916 (1978);
[124] J., Fröhlich and T., Spencer, J. Stat. Phys. 24, 617 (1981)
[125] J. A., Swieca, Fortschr. Phys. 25, 303 (1977); B. Schroer and T. Truong, Phys. Rev. D15, 1684 (1977)
[126] G., Benfatto, G., Gallavotti and F., Nicolò, Commun. Math. Phys. 83, 387 (1982); F. Nicolò, Commun. Math. Phys. 88, 581 (1983); F. Nicolò, J. Renn and A. Steinmann, Commun. Math. Phys. 105, 291(1986)
[127] G., Gallavotti, Rev. Mod. Phys. 57, 471 (1985)
[128] E. C., Marino, Nucl. Phys. B251 [FS13], 227 (1985)
[129] E. C., Marino, Phys. Lett. A105, 215 (1984)
[130] A., Lima-Santos and E. C., Marino, J. Stat. Phys. 55, 157 (1989)
[131] D. J., Amit, Y., Goldschmidt and G., Grinstein, J. of Phys. A: Math. Gen. 13, 585 (1980)
[132] P., di Vecchia and S., Ferrara, Nucl. Phys. B130, 93 (1977); E. Witten, Phys. Rev. D16, 299 (1977); J. Hruby, Nucl. Phys. B131, 275 (1977)
[133] A., Lima-Santos and E. C., Marino, Nucl. Phys. B336, 547 (1990)
[134] E., Witten, Nucl. Phys. B185, 513 (1981)
[135] S., Eggert, I., Affleck and M., Takahashi, Phys. Rev. Lett. 73, 332 (1994)
[136] N., Motoyama, H., Eisaki and S., Uchida, Phys. Rev. Lett. 76, 3212 (1996)
[137] I., Affleck and M., Oshikawa, Phys. Rev. B60, 1038 (1999)
[138] I., Dzyaloshinskii, J. Phys. Chem. Solids 4, 241 (1958); T. Moriya, Phys. Rev. 120, 91 (1960).
[139] F., Essler, Phys. Rev. B59, 14376 (1999)
[140] D. C., Dender, P. R., Hammar, D. H., Reich, C., Broholm and G, Aeppli, Phys. Rev. Lett. 79, 1750 (1997).
[141] L., Mondaini and E. C., Marino, J. Stat. Phys. 118, 767 (2005)
[142] J., Kondo, Progr. Th. Phys. 32, 37 (1964)
[143] H., Bethe, Z. Phys. 71, 205 (1931)
[144] N., Andrei, Phys. Rev. Lett. 45, 379 (1980)
[145] P. B., Wiegmann, Zh. Eksp. Teor. Fiz. Pis'ma Red. 31, 392 (1980)(JETP Lett. 31, 364 (1980))
[146] N., Andrei and J. H., Lowenstein, Phys. Rev. Lett. 43, 1693 (1979)
[147] N., Andrei and J. H., Lowenstein, Phys. Lett. B90, 106 (1980)
[148] N., Andrei and J. H., Lowenstein, Phys. Lett. B91, 401 (1980)
[149] N., Andrei and J. H., Lowenstein, Phys. Rev. Lett. 46, 356 (1981)
[150] N., Andrei, K., Furuya and J. H., Lowenstein, Rev. Mod. Phys. 55, 331 (1983)
[151] P. W., Anderson, G., Yuval and D. R., Hamann, Phys. Rev. B1, 4464 (1970)
[152] D., Gross and A., Neveu, Phys. Rev. D10, 323 (1974)
[153] E., Witten, Nucl. Phys. B145, 110 (1978)
[154] P., Minnhagen, Rev. Mod. Phys. 59, 1001 (1987).
[155] V. L., Berezinskii, Sov. Phys. (JETP) 32, 493 (1970)
[156] J. M., Kosterlitz and D. J., Thouless, J. Phys. C: Solid State Phys. 6, 1181 (1973).
[157] J. M., Kosterlitz, J. Phys. C: Solid State Phys. 7, 1046 (1974).
[158] J. V., José, L. P., Kadanoff, S., Kirkpatrick and D., Nelson, Phys. Rev. B16, 1217 (1977).
[159] D. J., Amit, Y. Y., Goldschmidt and G., Grinstein, J. Phys. A: Math. Gen. 13, 585 (1980).
[160] T., Giamarchi and H. J., Schulz, Phys. Rev. B39, 4620 (1989).
[161] G., Arfken, Mathematical Methods for Physicists , 2nd Edition, Academic Press, New York (1970)
[162] E. C., Marino and F. I., Takakura, Int. J. Mod. Phys. A12, 4155 (1997)
[163] E., Fradkin, Field Theories of Condensed Matter Physics , 2nd Edition, Cambridge University Press, Cambridge UK (2012)
[164] S., Sachdev, Quantum Phase Transitions , 2nd Edition, Cambridge University Press, Cambridge UK (2011)
[165] R. P., Feynman, Phys. Rev. 84, 108 (1951)
[166] J. R., Klauder and B., Skagerstam, Coherent States , World Scientific, Singapore (1985); A. Perelomov, Generalized Coherent States and Their Applications, Springer-Verlag, New York (1986).
[167] M., Berry, Proc. R. Soc. Lond. A392, 45 (1984).
[168] L. D., Landau and E. M., Lifshitz, Phys. Z. Sov. 8, 153 (1935); D. ter Haar, ed., Collected Papers of L. D. Landau , Pergamon Press, New York (1965), pp. 101–114.
[169] A. G., Abanov and Ar., Abanov, Phys. Rev. B65, 184407 (2002)
[170] P. C., Hohenberg, Phys. Rev. 158, 383 (1967); N. D. Mermin, Phys. Rev. 176, 250 (1968); N. D. Mermin and H. Wagner, Phys. Rev. Lett. 22, 1133 (1966)
[171] S., Coleman, Commun. Math. Phys. 31, 259 (1973)
[172] F., Wilczek and A., Zee, Phys. Rev. Lett. 51, 2250 (1983)
[173] X. G., Wen and A., Zee, Phys. Rev. Lett. 61, 1025 (1988)
[174] A. P., Kampf, Phys. Rep. 249, 219 (1994)
[175] E. C., Marino and L. H. C. M., Nunes, Ann. of Phys. 340, 13 (2014)
[176] Y., Nambu, G., Jona-Lasinio, Phys. Rev. 124 (1961) 246
[177] C. M. S., da Conceição and E. C., Marino, Phys. Rev. Lett. 101, 037201 (2008)
[178] C. M. S., da Conceição and E. C., Marino, Nucl. Phys. B820, 565 (2009)
[179] C. M. S., da Conceição and E. C., Marino, Phys. Rev. B80, 064422 (2009)
[180] K., Binder and P., Young, Rev. Mod. Phys. 58, 801 (1986)
[181] D., Sherrington and S., Kirkpatrick, Phys. Rev. Lett. 35, 1792 (1975)
[182] J. R. L., de Almeida and D. J., Thouless, J. Phys. A 11, 983 (1978)
[183] G., Parisi, Phys. Rev. Lett. 43, 1754 (1979)
[184] P., Kapitza, Nature, 141, 74 (1938)
[185] J. F., Allen and A. D., Misener, Nature, 141, 75 (1938)
[186] F., London, Phys. Rev. 54, 947 (1938)
[187] E. P., Gross, N., Cimento 20, 454 (1961); E. P. Gross, J. Math. Phys. 4, 195 (1963)
[188] L. P., Pitaevskii, Zh. Eksp. Teor. Fiz. 40, 646 (1961) [Sov. Phys. JETP 13, 451 (1961)]
[189] L., Onsager, N. Cimento 6, 249 (1949)
[190] F., Lund and T., Regge, Phys. Rev. D14, 1524 (1976); E. Witten, Phys. Lett. B153, 243 (1985); A. Vilenkin and T. Vachaspati, Phys. Rev. D4, 1138 (1987); R. L. Davis and E. P. S. Shellard, Phys. Lett. B214, 219 (1988)
[191] M., Kalb and P., Ramond, Phys. Rev. D9, 227 (1974)
[192] H., Fort and E. C., Marino, Int. J. Mod. Phys. A15, 2225 (2000)
[193] E. C., Marino, Phys. Rev. D53, 1001 (1996)
[194] N., Nücker, J., Fink, J. C., Fuggle, P. J., Durham and W. M., Temmerman, Phys. Rev. B 37, 5158 (1988)
[195] E., Manousakis, Rev. Mod. Phys. 63, 1 (1991)
[196] Z.-X., Shen, D. S., Dessau, B. O., Wells, D. M., King, W. E., Spicer, A. J., Arko, D., Marshall, L. W., Lombardo, A., Kapitulnik, P., Dickinson, S., Doniach, J., DiCarlo, T., Loeser and C. H., Park, Phys. Rev. Lett. 70, 1553 (1993)
[197] T., Dombre and N., Read, Phys. Rev. B38, 7181 (1988)
[198] E., Fradkin and M., Stone, Phys. Rev. B38, 7215 (1988)
[199] X. G., Wen and A., Zee, Phys. Rev. Lett. 61, 1025 (1988)
[200] F. D. M., Haldane, Phys. Rev. Lett. 61, 1029 (1988)
[201] L. B., Ioffe and A. I., Larkin, Int. J. Mod. Phys. B2, 203 (1988)
[202] E. C., Marino, Phys. Lett. A263, 446 (1999)
[203] E. C., Marino and M. B., Silva Neto, Phys. Rev. B64, 092511 (2001)
[204] A., Ino, C., Kim, T., Mizokawa, Z. X., Shen, A., Fujimori, M., Takaba, K., Tamasaku, H., Eisaki and S., Uchida, J. Phys. Soc. Jpn. 68, 1496 (1999)
[205] T., Yoshida, X. J., Zhou, T., Sasagawa, W. L., Yang, P. V., Bogdanov, A., Lanzara, Z., Hussain, T., Mizokawa, A., Fujimori, H., Eisaki, Z.-X., Shen, T., Kakeshita and S., Uchida Phys. Rev. Lett. 91, 027001 (2003)
[206] A., Coste and M., Lüscher, Nucl. Phys. B323, 631 (1989)
[207] P. B., Wiegmann, Phys. Rev. Lett. 60, 821 (1988)
[208] B. I., Schraiman and E., Siggia, Phys. Rev. Lett. 61, 467 (1988); ibid, Phys. Rev.B42, 2485 (1990)
[209] J. P., Rodriguez, Phys. Rev. B39, 2906 (1989);ibid, Phys. Rev. B41, 7326 (1990)
[210] R. J., Gooding, Phys. Rev. Lett. 66, 2266 (1991); R. J. Gooding and A. Mailhot, Phys. Rev. B48, 6132 (1993)
[211] S., Haas, F. C., Zhang, F., Mila and T. M., Rice, Phys. Rev. Lett. 77, 3021 (1996)
[212] R. F., Kiefl, J. H., Brewer, I., Affleck, J. F., Carolan, P., Dosanjh, W. N., Hardy, T., Hsu, R., Kadono, J. R., Kempton, S. R., Kreitzman, Q., Li, A. H., OReilly, T.M., Riseman, P., Schleger, P. C. E., Stamp, H., Zhou, L. P., Le, G. M., Luke, B., Sternlieb, Y. J., Uemura, H. R., Hart and K. W., Lay, Phys. Rev. Lett. 64, 2082 (1990)
[213] E. C., Marino, Phys. Rev. B61, 1588 (2000)
[214] M., Matsuda, M., Fujita, K., Yamada, R. J., Birgeneau, Y. Endoh and G. Shirane, Phys. Rev. B65, 134515 (2002)
[215] F., Borsa, P., Carretta, J. H., Cho, F. C., Chou, Q., Hu, D. C., Johnston, A., Lascialfari, D. R., Torgeson, R. J., Gooding, N. M. Salem and K. J. E. Vos, Phys. Rev. B52, 7334 (1995)
[216] A. H., Castro Neto and D., Hone, Phys. Rev. Lett. 76, 2165 (1995)
[217] V., Yu. Irkhin and A. A., Katanin, Phys. Rev. B55, 12318 (1997); ibid Phys. Rev. B57, 379 (1998)
[218] C. M. S., da Conceição, M. B., Silva Neto and E. C., Marino, Phys. Rev. Lett. 106, 117002 (2011)
[219] S., Raghu, X.-L., Qi, C.-X., Liu, D. J., Scalapino and S.-C., Zhang, Phys. Rev. B77, 220503 (2008)
[220] L. J., de Jongh, Introduction to Low-Dimensional Magnetic Systems, in Magnetic Properties of Layered Transition Metal Compounds , L. J., de Jongh, ed. Kluwer (1990)
[221] J., Zhao, D.-X., Yao, S., Li, T., Hong, Y., Chen, S., Chang, W., Ratcliff, J. W., Lynn, H. A., Mook, G. F., Chen, J. L., Luo, N. L., Wang, E. W., Carlson, J., Hu and P., Dai, Phys. Rev. Lett. 101, 167203 (2008)
[222] P., Richard, K., Nakayama, T., Sato, M., Neupane, Y.-M., Xu, J. H., Bowen, G. F., Chen, J. L., Luo, N. L., Wang, X., Dai, Z., Fang, H., Ding and T., Takahashi, Phys. Rev. Lett. 104, 137001 (2010)
[223] M., El Massalami, E. C., Marino and M. B., Silva Neto, J. M. Mag. Mat. 350, 30 (2014)
[224] G. F., Chen, Z., Li, J., Dong, G., Li, W. Z., Hu, X. D., Zhang, X. H., Song, P., Zheng, N. L., Wang and J. L., Luo Phys. Rev. B 78, 224512 (2008)
[225] C., Krellner, N., Caroca-Canales, A., Jesche, H., Rosner, A., Ormeci and C., Geibel Phys. Rev. B 78, 100504(R) (2008)
[226] K., von Klitzing, G., Dorda and M., Pepper, Phys. Rev. Lett. 45, 494 (1980)
[227] D. C., Tsui, H. L., Störmer and A. C., Gossard, Phys. Rev. Lett. 48, 1559 (1982)
[228] L., Landau, Z. Phys. 64, 629 (1930)
[229] M., Born and V. A., Fock, Z. Phys. 51, 165 (1928)
[230] M. V., Berry, Proc. Roy. Soc. Lond. A392, 45 (1984)
[231] D. J., Thouless, M., Kohmoto, M. P., Nightingale and M., den Nijs, Phys. Rev. Lett. 49, 405 (1982)
[232] R., Laughlin, Phys. Rev. Lett. 50, 1395 (1983)
[233] J. K., Jain, Phys. Rev. Lett. 63, 2 (1989); ibid Phys. Rev. B40, 8079 (1989); ibid Phys. Rev. B41, 7653 (1990)
[234] B. I., Halperin, Phys. Rev. Lett. 52, 1583 (1984)
[235] R., de-Picciotto, M., Reznikov, M., Heiblum, V., Umansky, G., Bunin and D., Mahalu, Nature 389, 162 (1997)
[236] D., Arovas, J. R., Schrieffer and F., Wilczek, Phys. Rev. Lett. 53, 722 (1984)
[237] F. E., Camino, W., Zhou and V. J., Goldman, Phys. Rev. B72, 075342 (2005); ibid, Phys. Rev. Lett. 98, 076805 (2007)
[238] Y., Aharonov and D., Bohm, Phys. Rev. 115, 485 (1959)
[239] S. C., Zhang, T. H., Hansson and S., Kivelson, Phys. Rev. Lett. 62, 82 (1989)
[240] S. C., Zhang, Int. J. Mod. Phys. B6, 25 (1992)
[241] G., Moore and N., Read, Nucl. Phys. B360, 362 (1991)
[242] E., Fradkin, C., Nayak, A., Tsvelik and F., Wilczek, Nucl. Phys. B516, 704 (1998)
[243] K. S., Novoselov, A. K., Geim, S. V., Morozov, D., Jiang, Y., Zhang, S. V., Dubonos, I. V., Grigorieva and A. A., Firsov, Science. 306, 666 (2004)
[244] K. S., Novoselov, A. K., Geim, S. V., Morozov, D., Jiang, M. I., Katsnelson, I. V., Grigorieva, S. V., Dubonos and A. A., Firsov, Nature 438, 197 (2005)
[245] A. H., Castro Neto, F., Guinea, N. M. R., Peres, K. S., Novoselov and A. K., Geim, Rev. Mod. Phys. 81, 109 (2009)
[246] V. N., Kotov, B., Uchoa, V. M., Pereira, F., Guinea and A. H., Castro Neto, Rev. Mod. Phys. 84, 1067 (2012)
[247] P. R., Wallace, Phys. Rev. 71, 622 (1947)
[248] G. W., Semenoff, Phys. Rev. Lett. 53, 2449 (1984)
[249] D. P. Di Vincenzo and E. J. Mele, Phys. Rev. B29, 1685 (1984)
[250] M. I., Katsnelson, K. S., Novoselov and A. K., Geim, Nature Phys. 2, 620 (2006)
[251] M. I., Katsnelson, Eur. Phys. J. B51, 157 (2006)
[252] N., Dombey and A., Calogeracos, Phys. Rep. 315, 41 (1999)
[253] C. W. J., Beenakker, Rev. Mod. Phys. 80, 1337 (2008)
[254] Y., Zhang, Y.-W., Tan, H. L., Stormer and P., Kim, Nature 438, 201 (2005)
[255] K. I., Bolotin, F., Ghahari, M. D., Shulman, H. L., Stormer and P., Kim, Nature 462, 196 (2009)
[256] X., Du, I., Skachko, F., Duerr, A., Luican and E. Y., Andrei, Nature 462, 192 (2009)
[257] E. C., Marino, L. O., Nascimento, V. S., Alves and C., Morais Smith, Phys. Rev. X5, 011040 (2015)
[258] C. D., Roberts and A. G., Williams, Prog. Part. Nucl. Phys. 33, 477 (1994)
[259] D. V., Khveshchenko, Phys. Rev. Lett. 87, 246802 (2001)
[260] D. V., Khveshchenko, Phys. Rev. Lett. 87, 206401 (2001)
[261] D. V., Khveshchenko and H., Leal, Nucl. Phys. B687, 323 (2004)
[262] D. V., Khveshchenko and W. F., Shively, Phys. Rev. B73, 115104 (2006)
[263] E. V., Gorbar, V. P., Gusynin, V. A., Miransky and I. A., Shovkovy, Phys. Rev. B66, 045108 (2002)
[264] E. V., Gorbar, V. P., Gusynin, V. A., Miransky and I. A., Shovkovy, Phys. Lett. A313, 472 (2003)
[265] D. V., Khveshchenko, J. Phys. Condens. Matter 21, 075303 (2009)
[266] H., Isobe and N., Nagaosa, Phys. Rev. B87, 205138 (2013)
[267] N., Menezes, V. S., Alves, E. C., Marino, L., Nascimento, L. O., Nascimento and C., Morais Smith, Phys. Rev. B95, 245138 (2017)
[268] O., Vafek and A., Vishwanath, Annual Review of Condensed Matter Physics Vol. 5, 83–112 (2014) (arXiv 1306.2272, p. 18)
[269] J., Gonzales, F., Guinea and M. A. H., Vozmediano, Nucl. Phys. B424, 595 (1994); ibid Phys. Rev. B59, 2474 (1999)
[270] D. C., Elias, R. V., Gorbachev, A. S., Mayorov, S. V., Morozov, A. A., Zhukov, P., Blake, L. A., Ponomarenko, I. V., Grigorieva, K. S., Novoselov, F., Guinea and A. K., Geim, Nature Phys. 7, 701 (2011)
[271] A., Coste and M., Lüscher, Nucl. Phys. B323, 631 (1989)
[272] S., Teber, Phys. Rev. D86, 025005 (2012)
[273] S., Teber, Phys. Rev. D89, 067702 (2014)
[274] A. V., Kotikov and S., Teber, Phys. Rev. D89, 065038 (2014)
[275] S., Teber and A. V., Kotikov, Europhys. Lett. 107, 57001 (2014)
[276] X., Du, I., Skachko, A., Barker and E. Y., Andrei, Nature Nanotech. 3, 491 (2008)
[277] K., Ziegler, Phys. Rev. B75, 233407 (2007)
[278] S., Coleman and B., Hill, Phys. Lett. B159, 184 (1985)
[279] K., Takeda and K., Shiraishi, Phys. Rev. B50, 14916 (1994)
[280] M., Ezawa, Phys. Rev. B 87, 155415 (2013); ibid Phys. Rev. Lett. 109, 055502 (2012); M. Ezawa, Phys. Rev. Lett. 110, 026603 (2013)
[281] C.-C., Liu, W., Feng and Y., Yao, Phys. Rev. Lett. 107, 076802 (2011)
[282] D., Xiao, G.-B., Liu, W., Feng, X., Xu and W., Yao, Phys. Rev. Lett. 108, 196802 (2012)
[283] B., Lalmi, H., Oughaddou, H., Enriquez, A., Kara, S., Vizzini, B., Ealet and B., Aufray, Appl. Phys. Lett. 97, 223109 (2010); P.E. Padova, C. Quaresima, C. Ottaviani, P.M. Sheverdyaeva, P. Moras, C. Carbone, D. Topwal, B. Olivieri, A. Kara, H. Oughaddou, B. Aufray and G. L. Lay, Appl. Phys. Lett. 96, 261905 (2010); B. Aufray A. Vizzini, H. Oughaddou, C. Lndri, B. Ealet and G. L. Lay, Appl. Phys. Lett. 96, 183102 (2010)
[284] S., Cahangirov, M., Topsakal, E., Aktürk, H., Sahin and S., Ciraci, Phys. Rev. Lett. 102, 236804 (2009)
[285] X.-S., Ye, Z.-G., Shao, H., Zhao, L., Yang and C.-L., Wang, Royal Soc. Chemistry Adv. 4, 21216 (2014)
[286] Y., Xu, B., Yan, H. J., Zhang, J., Wang, G., Xu, P., Tang, W., Duan and S. C., Zhang, Phys. Rev. Lett. 111, 13 (2013)
[287] L. O., Nascimento, E. C., Marino, V. S., Alves and C., Morais Smith, arXiv 1702.01573 (2017)
[288] C., Itzykson and J. B., Zuber, Quantum Field Theory , McGraw-Hill, New York (1980)
[289] C. L., Kane and E. J., Mele, Phys. Rev. Lett. 95, 226801 (2005)
[290] C., Nayak, S.H., Simon, A., Stern, M., Freedman and S.D., Sarma, Rev. Mod. Phys. 80, 1083 (2008)
[291] A., Yu. Kitaev, Ann. of Phys. 303, 2 (2003)
[292] J. K., Pachos, Introduction to Topological Quantum Computation , Cambridge University Press, Cambridge UK (2012).
[293] F., Navarro-Lérida, E., Radu and D. H., Tchrakian, Phys. Rev. D79, 65036 (2009)
[294] N., Read and D., Green, Phys. Rev. B61, 10267 (2000)
[295] D., Ivanov, Phys. Rev. Lett. 86, 268 (2001)
[296] A., Stern, F., von Oppen and E., Mariani, Phys. Rev. B70, 205338 (2004)
[297] A., Yu. Kitaev, Ann. of Phys. 321, 2 (2006)
[298] T. H., Hansson, M., Herrmanns, N., Regnault and S., Viefers, Phys. Rev. Lett. 102, 166805 (2009)
[299] E. C., Marino and J. C., Brozeguini, J. Stat. Mech.: Theory and Experiment, P09038 (2014)
[300] J. R., Woolton, V., Lahtinen, Z., Wang and J. K., Pachos, Phys. Rev B 78, 161102 (2008)
[301] H., Bombin, Phys. Rev. Lett. 105, 030403 (2010)
[302] J. R., Woolton, V., Lahtinen, B., Doucot and J. K., Pachos, Ann. Phys. 326, 2307 (2011)
[303] A. S., Wightman, Phys. Rev. 101, 860 (1956)
[304] K., Osterwalder and R., Schrader, Commun. Math. Phys. 31, 83 (1973); ibid Commun. Math. Phys. 42, 281 (1975)
[305] G., Moore and N., Read, Nucl. Phys. B360, 362 (1991)
[306] C., Nayak and F., Wilczek, Nucl. Phys. B470, 529 (1996)
[307] N., Read and E., Rezayi, Phys. Rev. B54, 16864 (1996)
[308] V., Gurarie and C., Nayak, Nucl. Phys. B506, 685 (1997)
[309] E. C., Marino and J. C., Brozeguini, J. Stat. Mech.: Theory and Experiment, P03011 (2015)
[310] R. F., Streater and A. S., Wightman, PCT, Spin and Statistics, and All That , Benjamin/Cummings, Reading, MA, USA (1964), p. 5
[311] M. Z., Hasan and C. L., Kane, Rev. Mod. Phys. 82, 3045 (2010)
[312] X.-L., Qi and S.-C., Zhang, Rev. Mod. Phys. 83, 1057 (2011)
[313] B. A., Bernevig and T. L., Hughes, Topological Insulators and Topological Superconductors , Princeton University Press, Princeton, NJ, USA (2013)
[314] F. D. M., Haldane, Phys. Rev. Lett. 61, 2015 (1988)
[315] C.-Z., Chang, J., Zhang, X., Feng, J., Shen, Z., Zhang, M., Guo, K., Li, Y., Ou, P., Wei, L.-L., Wang, Z.-Q., Ji, Y., Feng, S., Ji, X., Chen, J., Jia, X., Dai, Z., Fang, S.-C., Zhang, K., He, Y., Wang, L., Lu, X.-C., Ma and Q.-K., Xue, Science 340, 167 (2013)
[316] D., Sticlet, F., Piéchon, J.-N., Fuchs, P., Kalugin and P., Simon, Phys. Rev. B85, 165456 (2012)
[317] C. L., Kane and E. J., Mele, Phys. Rev. Lett. 95, 146802 (2005)
[318] L., Fu and C. L., Kane, Phys. Rev. B76, 045302 (2007)
[319] M., Fruchart and D., Carpentier, Comptes Rendus de l'Academie des Sciences (Paris), 14, 779 (2013)
[320] B. A., Bernevig, T. L., Hughes and S.-C., Zhang, Science 314, 1757 (2006)
[321] M., König, S., Wiedmann, C., Brüne, A., Roth, H., Buhmann, L.W., Molenkamp, X.-L., Qi and S.-C., Zhang, Science 318, 766 (2007)
[322] L., Fu, C. L., Kane and E. J., Mele, Phys. Rev. Lett. 98, 106803 (2007)
[323] J. E., Moore and L., Balents, Phys. Rev. B75, 121306 (2007)
[324] R., Roy, Phys. Rev. B79, 195322 (2009)