Bosonization and Strongly Correlated Systems

Bosonization and Strongly Correlated Systems
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DOI:
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发表时间:
1999-01
期刊:
arXiv: Strongly Correlated Electrons
影响因子:
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通讯作者:
A. O. Gogolin;A. Nersesyan;A. Tsvelik
A. O. Gogolin;A. Nersesyan;A. Tsvelik
中科院分区:
其他
文献类型:
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作者:
A. O. Gogolin;A. Nersesyan;A. Tsvelik

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本卷提供了玻色子化的详细说明。书的第一部分检查玻色化的技术方面,包括一维费米子,高斯模型,希尔伯特空间的结构在共形理论,玻色-爱因斯坦凝聚在两个维度,非阿贝尔玻色化,和伊辛和WZNW模型。第二部分介绍了玻色化技术在现实模型中的应用,包括Tomonaga-Luttinger液体,一维自旋液体和自旋为1/2的海森堡链与交替交换。第三部分讨论量子杂质的问题。章节涵盖潜在的散射,X射线边缘问题,Tomonaga-Luttinger液体中的杂质和多通道近藤问题。
This volume provides a detailed account of bosonization. The first part of the book examines the technical aspects of bosonization including one-dimensional fermions, the Gaussian model, the structure of Hilbert space in conformal theories, Bose-Einstein condensation in two dimensions, non-Abelian bosonization, and the Ising and WZNW models. The second part presents applications of the bosonization technique to realistic models including the Tomonaga-Luttinger liquid, spin liquids in one dimension and the spin-1/2 Heisenberg chain with alternative exchange. The third part addresses the problems of quantum impurities. Chapters cover potential scattering, the X-ray edge problem, impurities in Tomonaga-Luttinger liquids and the multi-channel Kondo problem.