TRANSPORT THROUGH ASYMMETRIC TWO-LEAD JUNCTIONS OF LUTTINGER LIQUID WIRES

被引：0
|
作者：
Aristov, D. N. [1 ,2 ,3 ]
Woelfle, P. [2 ,4 ,5 ]
机构：
[1] Petersburg Nucl Phys Inst, Gatchina 188300, Russia
[2] Karlsruhe Inst Technol, Inst Nanotechnol, D-76021 Karlsruhe, Germany
[3] St Petersburg State Univ, Dept Phys, St Petersburg 198504, Russia
[4] Karlsruhe Inst Technol, Inst Condensed Matter Theory, D-76128 Karlsruhe, Germany
[5] Karlsruhe Inst Technol, Ctr Funct Nanostruct, D-76128 Karlsruhe, Germany
来源：
LITHUANIAN JOURNAL OF PHYSICS | 2012年 / 52卷 / 02期
关键词：
Luttinger liquid wires; quantum transport; conductance; renormalization group theory; DIMENSIONAL ELECTRON-GAS; NONEQUILIBRIUM TRANSPORT; SINGLE-BARRIER; CONTACTS;
D O I：
暂无
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We calculate the conductance of a system of two spinless Luttinger liquid wires with different interaction strengths g1, g2, connected through a short junction, within the scattering state formalism. Following earlier work we formulate the problem in current algebra language, and calculate the scale dependent contribution to the conductance in perturbation theory keeping the leading universal contributions to all orders in the interaction strength. From that we derive a renormalization group (RG) equation for the conductance. The analytical solution of the RG-equation is discussed in dependence on g1, g2. The regions of stability of the two fixed points corresponding to conductance G = 0 and G = 1, respectively, are determined.
引用
收藏
页码：89 / 95
页数：7
相关论文
共 50 条
  • [21] Frequency dependences in transport through a Tomonaga-Luttinger liquid wire
    Ponomarenko, VV
    PHYSICAL REVIEW B, 1996, 54 (15): : 10328 - 10331
  • [22] Quantum criticality and non-Fermi-liquid behavior in a two-level two-lead quantum dot
    Wang, Xin
    Millis, Andrew J.
    PHYSICAL REVIEW B, 2010, 81 (04)
  • [23] Kondo physics in transport through a quantum dot with Luttinger-liquid leads
    Andergassen, S
    Enss, T
    Meden, V
    PHYSICAL REVIEW B, 2006, 73 (15):
  • [24] From Tomonaga-Luttinger to Fermi liquid in transport through a tunneling barrier
    Ponomarenko, VV
    Nagaosa, N
    PHYSICAL REVIEW B, 1997, 56 (20): : 12756 - 12759
  • [25] Transport properties of topological superconductor-Luttinger liquid junctions: A real-time Keldysh approach
    Lutchyn, Roman M.
    Skrabacz, Jacob H.
    PHYSICAL REVIEW B, 2013, 88 (02)
  • [26] Numerical study of transport through a single impurity in a spinful Tomonaga-Luttinger liquid
    Hamamoto, Yuji
    Imura, Ken-Ichiro
    Kato, Takeo
    PHYSICAL REVIEW B, 2008, 77 (16)
  • [27] Disorder and dephasing effects on electron transport through conjugated molecular wires in molecular junctions
    Nozaki, Daijiro
    da Rocha, Claudia Gomes
    Pastawski, Horacio M.
    Cuniberti, Gianaurelio
    PHYSICAL REVIEW B, 2012, 85 (15)
  • [28] Power-law behavior in electron transport through a quantum dot with Luttinger liquid leads
    Yang, Kai-Hua
    He, Xian
    Wang, Huai-Yu
    Liu, Kai-Di
    Liu, Bei-Yun
    EUROPEAN PHYSICAL JOURNAL B, 2014, 87 (08):
  • [29] Power-law behavior in electron transport through a quantum dot with Luttinger liquid leads
    Kai-Hua Yang
    Xian He
    Huai-Yu Wang
    Kai-Di Liu
    Bei-Yun Liu
    The European Physical Journal B, 2014, 87
  • [30] Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
    Kim, Younghyun
    Liu, Dong E.
    Gaidamauskas, Erikas
    Paaske, Jens
    Flensberg, Karsten
    Lutchyn, Roman M.
    PHYSICAL REVIEW B, 2016, 94 (07)
12345