Fermionic approach to junctions of multiple quantum wires attached to Tomonaga-Luttinger liquid leads

被引:12
作者
Shi, Zheng [1 ]
Affleck, Ian [1 ]
机构
[1] Univ British Columbia, Dept Phys & Astron, Vancouver, BC V6T 1Z1, Canada
基金
加拿大自然科学与工程研究理事会;
关键词
DIMENSIONAL ELECTRON-GAS; SINGLE-BARRIER; HALL STATES; CONDUCTANCE; RENORMALIZATION; TRANSPORT; LOCALIZATION; TRANSMISSION; SYSTEM;
D O I
10.1103/PhysRevB.94.035106
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Junctions of multiple one-dimensional quantum wires of interacting electrons have received considerable theoretical attention as a basic constituent of quantum circuits. While results have been obtained on these models using bosonization and density-matrix renormalization-group (DMRG) methods, another powerful technique is based on direct perturbation theory in the bulk interactions combined with the renormalization group. This technique has so far only been applied to the case in which finite-length interacting wires are attached to noninteracting Fermi liquid leads. We extend this method to cover the case of infinite-length interacting leads, obtaining results on two-and three-lead junctions in good agreement with previous bosonization and DMRG results.
引用
收藏
页数:16
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