Interaction induced topological protection in one-dimensional conductors

被引：17

作者：

Kainaris, Nikolaos ^{[1
,2
]}

Santos, Raul A. ^{[3
,4
]}

Gutman, D. B. ^{[3
]}

Carr, Sam T. ^{[5
]}

机构：

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

[2] Karlsruher Inst Technol, Inst Theorie Kondensierten Materie, D-76128 Karlsruhe, Germany

[3] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel

[4] Weizmann Inst Sci, Dept Condensed Matter Phys, IL-76100 Rehovot, Israel

[5] Univ Kent, Sch Phys Sci, Canterbury CT2 7NH, Kent, England

来源：

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2017年 / 65卷 / 6-8期

关键词：

Topological insulator; One dimensional; Strongly correlated electrons; Disorder; HGTE QUANTUM-WELLS; 2-DIMENSIONAL SYSTEMS; ELECTRON-GAS; INSULATORS; STATE;

D O I：

10.1002/prop.201600054

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss two one-dimensional model systems - the first is a single channel quantum wire with Ising anisotropy, while the second is two coupled helical edge states. We show that the two models are governed by the same low energy effective field theory, and interactions drive both systems to exhibit phases which are metallic, but with all single particle excitations gapped. We show that such states may be either topological or trivial; in the former case, the system demonstrates gapless end states, and insensitivity to disorder.

引用

页数：9

共 30 条

[1]

BEREZINSKII VL, 1972, SOV PHYS JETP-USSR, V34, P610

[2] Quantum spin Hall effect and topological phase transition in HgTe quantum wells [J].

Bernevig, B. Andrei ;

Hughes, Taylor L. ;

Zhang, Shou-Cheng .

SCIENCE, 2006, 314 (5806) :1757-1761

[3] Spinful fermionic ladders at incommensurate filling: Phase diagram, local perturbations, and ionic potentials [J].

Carr, Sam T. ;

Narozhny, Boris N. ;

Nersesyan, Alexander A. .

ANNALS OF PHYSICS, 2013, 339 :22-80

[4] Effect of a Local Perturbation in a Fermionic Ladder [J].

Carr, Sam T. ;

Narozhny, Boris N. ;

Nersesyan, Alexander A. .

PHYSICAL REVIEW LETTERS, 2011, 106 (12)

[5] Renormalization group approach for the scattering off a single Rashba impurity in a helical liquid [J].

Crepin, Francois ;

Budich, Jan Carl ;

Dolcini, Fabrizio ;

Recher, Patrik ;

Trauzettel, Bjoern .

PHYSICAL REVIEW B, 2012, 86 (12)

[6] INTERACTING ONE-DIMENSIONAL ELECTRON-GAS WITH OPEN BOUNDARIES [J].

FABRIZIO, M ;

GOGOLIN, AO .

PHYSICAL REVIEW B, 1995, 51 (24) :17827-17841

[7] THEORY OF SPIN-ANISOTROPIC ELECTRON-ELECTRON INTERACTIONS IN QUASI-ONE-DIMENSIONAL METALS [J].

GIAMARCHI, T ;

SCHULZ, HJ .

JOURNAL DE PHYSIQUE, 1988, 49 (05) :819-835

[8]

Giamarchi T, 2003, QUANTUM PHYS ONE DIM

[9]

Gogolin A. O., 2004, Bosonization and Strongly Correlated Systems

[10] Colloquium: Topological insulators [J].

Hasan, M. Z. ;

Kane, C. L. .

REVIEWS OF MODERN PHYSICS, 2010, 82 (04) :3045-3067

← 1 2 3 →