Duality of Weak and Strong Scatterer in a Luttinger Liquid Coupled to Massless Bosons

被引：16

作者：

Yurkevich, Igor V. ^{[1
,2
,3
,4
]}

Galda, Alexey ^{[2
,5
]}

Yevtushenko, Oleg M. ^{[3
,6
,7
]}

Lerner, Igor V. ^{[2
,3
]}

机构：

[1] Aston Univ, Nonlinear & Complex Res Grp, Birmingham B4 7ET, W Midlands, England

[2] Univ Birmingham, Sch Phys & Astron, Birmingham B15 2TT, W Midlands, England

[3] Abdus Salam Int Ctr Theoret Phys, I-34100 Trieste, Italy

[4] Karlsruhe Inst Technol, Inst Nanotechnol, D-76021 Karlsruhe, Germany

[5] Argonne Natl Lab, Div Mat Sci, Argonne, IL 60439 USA

[6] Univ Munich, Arnold Sommerfeld Ctr, DE-80333 Munich, Germany

[7] Univ Munich, Ctr Nanosci, DE-80333 Munich, Germany

来源：

PHYSICAL REVIEW LETTERS | 2013年 / 110卷 / 13期

基金：

英国工程与自然科学研究理事会;

关键词：

MODEL; LOCALIZATION; SINGULARITY; CONDUCTANCE; IMPURITIES; TRANSPORT; ELECTRONS; DIAGRAM;

D O I：

10.1103/PhysRevLett.110.136405

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study electronic transport in a Luttinger liquid with an embedded impurity, which is either a weak scatterer (WS) or a weak link (WL), when interacting electrons are coupled to one-dimensional massless bosons (e.g., acoustic phonons). We find that the duality relation, Delta(WS) Delta(WL) = 1, between scaling dimensions of the electron backscattering in the WS and WL limits, established for the standard Luttinger liquid, holds in the presence of the additional coupling for an arbitrary fixed strength of boson scattering from the impurity. This means that at low temperatures such a system remains either an ideal insulator or an ideal metal, regardless of the scattering strength. On the other hand, when fermion and boson scattering from the impurity are correlated, the system has a rich phase diagram that includes a metal-insulator transition at some intermediate values of the scattering. DOI: 10.1103/PhysRevLett.110.136405

引用

页数：5

共 50 条

[1] Duality in multi-channel Luttinger Liquid with local scatterer
Yurkevich, Igor V.
[J]. EPL, 2013, 104 (03)
[2] Universal duality in a Luttinger liquid coupled to a generic environment
Yurkevich, Igor V.
Yevtushenko, Oleg M.
[J]. PHYSICAL REVIEW B, 2014, 90 (11)
[3] Potential scattering in a Luttinger liquid: weak versus strong correlations
Sa, D
[J]. SOLID STATE COMMUNICATIONS, 1999, 113 (05) : 263 - 266
[4] On resonances for a harmonic oscillator coupled with massless bosons
Billionnet, C
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (02): : 623 - 638
[5] Incoherent Scatterer in a Luttinger Liquid: A New Paradigmatic Limit
Altland, Alexander
Gefen, Yuval
Rosenow, Bernd
[J]. PHYSICAL REVIEW LETTERS, 2012, 108 (13)
[6] A statistical model expounding weak bosons as massless particles
Brovetto, P
Maxia, V
Salis, M
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1999, 112 (06): : 531 - 544
[7] STRONG DUALITY AND WEAK INTERACTIONS
DICUS, DA
TEPLITZ, VL
YOUNG, JE
[J]. PHYSICS LETTERS B, 1974, B 53 (02) : 177 - 180
[8] Superfluidity in a model of massless fermions coupled to scalar bosons
Pisarski, RD
Rischke, DH
[J]. PHYSICAL REVIEW D, 1999, 60 (09):
[9] Resonances Formed by Massless Bosons Coupled to a Harmonic Oscillator
C. Billionnet
[J]. Annales Henri Poincaré, 2001, 2 : 361 - 376
[10] Resonances formed by massless bosons coupled to a harmonic oscillator
Billionnet, C
[J]. ANNALES HENRI POINCARE, 2001, 2 (02): : 361 - 376

← 1 2 3 4 5 →