The One-Dimensional Hubbard Model

the one-dimensional hubbard model

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The One-Dimensional Hubbard Model

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Book Description
This book presents a self-contained account of the exact solution of the Hubbard model in one dimension. The description of solids at a microscopic level is complex, involving the interaction of a huge number of its constituents. It is impossible to solve the corresponding many-body problems, although insight can be gained from 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 a diverse range of problems.

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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 recent scientific results in the field of integrable models. --This text refers to the Digital edition.

The One-Dimensional Hubbard Model,Fabian H. L. Essler,Holger Frahm,Frank Göhmann,Andreas Klümper,Vladimir E. Korepin,Cambridge University Press,0521802628,Hubbard model,Physics,Quantum theory,Science,Science/Mathematics,Solid State Physics,Statistical mechanics,Condensed matter physics (liquids & solids),Science / Physics

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