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  3. The One-Dimensional Hubbard Model
  • Cited by 739
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    • Publisher:
      Cambridge University Press
      Publication date:
      August 2009
      February 2005
      ISBN:
      9780511534843
      9780521802628
      9780521143943
      DOI:
      https://doi.org/10.1017/CBO9780511534843
      Dimensions:
      (247 x 174 mm)
      Weight & Pages:
      1.52kg, 692 Pages
      Dimensions:
      (244 x 170 mm)
      Weight & Pages:
      1.09kg, 692 Pages
      • Subjects:
      Physics and Astronomy, Condensed Matter Physics, Nanoscience and Mesoscopic Physics, Theoretical Physics and Mathematical Physics
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    Subjects:
    Physics and Astronomy, Condensed Matter Physics, Nanoscience and Mesoscopic Physics, Theoretical Physics and Mathematical Physics
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    Book description

    The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents, such as ions or electrons. It is impossible to solve the corresponding many-body problems analytically or numerically, although much insight can be gained from the analysis of simplified models. An important example is the Hubbard model, which describes interacting electrons in narrow energy bands, and which has been applied to problems as diverse as high-Tc superconductivity, band magnetism, and the metal-insulator transition. This book presents a coherent, self-contained account of the exact solution of the Hubbard model in one dimension. The early chapters will be accessible to beginning graduate students with a basic knowledge of quantum mechanics and statistical mechanics. The later chapters address more advanced topics, and are intended as a guide for researchers to some of the more topical results in the field of integrable models.

    Reviews

    "The joint expertise of the authors on the subject is formidable. The influence of their intimate familiarity with the material is visible throughout the book. The bibliography is extensive and will be a useful tool for those interested in the original publications. Short of asking an expert, there is no better way to access the huge body of work accumulated over decades by a large number of authors. Every physics and chemistry library should have a copy of this book, and many individual researchers want to have a copy on their shelves, too."
    Bruno Nachtergaele, University of California, Davis, SIAM Review

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