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Chinese Physics Letters

Single Impurity Scattering in One-Channel Spinless Luttinger Liquid

韩跃武, 解宏毅, Yu-Liang Liu, 蔡绍洪, 胡林

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

用 bosonization 和阶段移动表示，我们严厉地对待在一个一个维的交往的电子系统的在杂质上的电子的向后的散布，并且证明系统的关联代表取决于向后的散布导致的阶段移动，并且在紫外、红外线的固定的点之间的关联功能的平常的代表两重性来自关联代表的阶段移动依赖。最后，我们在零温度学习系统的掘的传导力并且获得一个修改 Landauer-Butiker 公式。

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Single Impurity Scattering in One-Channel Spinless Luttinger Liquid

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Transport through a spinless Tomonaga-Luttinger (TL) liquid is studied in the presence of a single impurity. A boundary bosonization technique is developed to treat an impurity of arbitrary strength. Our new bosonization formula (i) smoothly connects the ones for the strong and the weak impurity limits, and (ii) reproduces exact scaling equation for the transmission probability in the weak two-body interaction limit. With the use of our formula, TL parameter is determined from the long-distance correlation functions. The result indicates a possible renormalization of TL parameter due to the effect of the single impurity scattering.

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费米子在相互作用以后被考虑的 spin-1/2 的一个 Luttinger 模型突然在时间 t = 被打开 0。借助于 bosonization 技术，我们评估经分解一个粒子关联详细工作，主要包含相等时间的关联和增殖者。为这个 spinful 非平衡系统管理相等时间的关联的幂定律行为的批评代表被获得。与出版结果比较，在 spinful 和无纺纱的非平衡系统的关联的批评代表之间的差别被发现并且解释。而且，增殖者在这个非平衡系统从另外的相等时间的关联展出不同幂定律行为，这被发现。[从作者抽象]

Chinese Physics Letters•Jan 1, 2010•1 citation
用 bosonization 和阶段移动表示，我们严厉地对待在一个一个维的交往的电子系统的在杂质上的电子的向后的散布，并且证明系统的关联代表取决于向后的散布导致的阶段移动，并且在紫外、红外线的固定的点之间的关联功能的平常的代表两重性来自关联代表的阶段移动依赖。最后，我们在零温度学习系统的掘的传导力并且获得一个修改 Landauer-Butiker 公式。
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.
Using bosonization and phase shift representation, we rigorously treat backward scattering of electrons on an impurity in a one-dimensional interacting electronic system, and demonstrate that correlation exponents of the system depend on a phase shift induced by the backward scattering, and usual exponent duality of the correlation functions between ultraviolet and infrared fixed points comes from the phase shift dependence of the correlation exponents. Finally, we study the tunnelling conductance of the system at zero temperature and obtain a modified Landauer-Bütiker formula.
Transport through a spinless Tomonaga-Luttinger (TL) liquid is studied in the presence of a single impurity. A boundary bosonization technique is developed to treat an impurity of arbitrary strength. Our new bosonization formula (i) smoothly connects the ones for the strong and the weak impurity limits, and (ii) reproduces exact scaling equation for the transmission probability in the weak two-body interaction limit. With the use of our formula, TL parameter is determined from the long-distance correlation functions. The result indicates a possible renormalization of TL parameter due to the effect of the single impurity scattering.
费米子在相互作用以后被考虑的 spin-1/2 的一个 Luttinger 模型突然在时间 t = 被打开 0。借助于 bosonization 技术，我们评估经分解一个粒子关联详细工作，主要包含相等时间的关联和增殖者。为这个 spinful 非平衡系统管理相等时间的关联的幂定律行为的批评代表被获得。与出版结果比较，在 spinful 和无纺纱的非平衡系统的关联的批评代表之间的差别被发现并且解释。而且，增殖者在这个非平衡系统从另外的相等时间的关联展出不同幂定律行为，这被发现。[从作者抽象]