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

页码：89 / 95

页数：7

共 50 条

[1] Transport properties of a two-lead Luttinger-liquid junction out of equilibrium: Fermionic representation
Aristov, D. N.
Woelfle, P.
PHYSICAL REVIEW B, 2014, 90 (24):
[2] Fano resonance in transport through a mesoscopic two-lead ring
Voo, KK
Chu, CS
PHYSICAL REVIEW B, 2005, 72 (16)
[3] Rectification in Y-junctions of Luttinger liquid wires
Wang, Chenjie
Feldman, D. E.
PHYSICAL REVIEW B, 2011, 83 (04):
[4] Conductance of Tomonaga-Luttinger liquid wires and junctions with resistances
Soori, Abhiram
Sen, Diptiman
EPL, 2011, 93 (05)
[5] Conductance scaling of junctions of Luttinger-liquid wires out of equilibrium
Aristov, D. N.
Woelfle, P.
PHYSICAL REVIEW B, 2018, 97 (20)
[6] Transport through a quantum dot with two parallel Luttinger liquid leads
Elste, Florian
Reichman, David R.
Millis, Andrew J.
PHYSICAL REVIEW B, 2011, 83 (24):
[7] Transport properties of a Y junction connecting Luttinger liquid wires
Aristov, D. N.
Woelfle, P.
PHYSICAL REVIEW B, 2011, 84 (15):
[8] TOMONAGA-LUTTINGER LIQUID EFFECTS ON TRANSPORT IN QUANTUM WIRES
KAWABATA, A
JAPANESE JOURNAL OF APPLIED PHYSICS PART 1-REGULAR PAPERS SHORT NOTES & REVIEW PAPERS, 1995, 34 (8B): : 4288 - 4291
[9] Thermal transport through Luttinger liquid constriction
Krive, IV
LOW TEMPERATURE PHYSICS, 1998, 24 (05) : 377 - 379
[10] Thermal transport through Luttinger liquid constriction
Krive, I.V.
Fizika Nizkikh Temperatur (Kharkov), 1998, 24 (05): : 498 - 500

← 1 2 3 4 5 →