Winding number order in the Haldane model with interactions

被引：5

作者：

Alba, E. ^{[1
]}

Pachos, J. K. ^{[2
]}

Garcia-Ripoll, J. J. ^{[1
]}

机构：

[1] CSIC, IFF, Calle Serrano 113b, E-28006 Madrid, Spain

[2] Univ Leeds, Sch Phys & Astron, Leeds LS2 9JT, W Yorkshire, England

来源：

NEW JOURNAL OF PHYSICS | 2016年 / 18卷

基金：

英国工程与自然科学研究理事会;

关键词：

topological phases; topological insulators; ultracold atoms; DMRG; FERMIONS;

D O I：

10.1088/1367-2630/18/3/033022

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the Haldane model with nearest-neighbor interactions. This model is physically motivated by the associated implementation with ultracold atoms. We show that the topological phase of the interacting model can be characterized by a physically observable winding number. The robustness of this number extends well beyond the topological insulator phase towards attractive and repulsive interactions that are comparable to the kinetic energy scale of the model. We identify and characterize the relevant phases of the model as a function of the interaction strength.

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页数：10

相关论文

共 29 条

[1] Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms [J].

Aidelsburger, M. ;

Lohse, M. ;

Schweizer, C. ;

Atala, M. ;

Barreiro, J. T. ;

Nascimbene, S. ;

Cooper, N. R. ;

Bloch, I. ;

Goldman, N. .

NATURE PHYSICS, 2015, 11 (02) :162-166

[2] Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices [J].

Aidelsburger, M. ;

Atala, M. ;

Lohse, M. ;

Barreiro, J. T. ;

Paredes, B. ;

Bloch, I. .

PHYSICAL REVIEW LETTERS, 2013, 111 (18)

[3] Simulating Dirac fermions with Abelian and non-Abelian gauge fields in optical lattices [J].

Alba, E. ;

Fernandez-Gonzalvo, X. ;

Mur-Petit, J. ;

Garcia-Ripoll, J. J. ;

Pachos, J. K. .

ANNALS OF PHYSICS, 2013, 328 :64-82

[4] Seeing Topological Order in Time-of-Flight Measurements [J].

Alba, E. ;

Fernandez-Gonzalvo, X. ;

Mur-Petit, J. ;

Pachos, J. K. ;

Garcia-Ripoll, J. J. .

PHYSICAL REVIEW LETTERS, 2011, 107 (23)

[5] Rydberg-atom quantum simulation and Chern-number characterization of a topological Mott insulator [J].

Dauphin, A. ;

Mueller, M. ;

Martin-Delgado, M. A. .

PHYSICAL REVIEW A, 2012, 86 (05)

[6] Detection of Chern numbers and entanglement in topological two-species systems through subsystem winding numbers [J].

de Lisle, James ;

De, Suvabrata ;

Alba, Emilio ;

Bullivant, Alex ;

Garcia-Ripoll, Juan J. ;

Lahtinen, Ville ;

Pachos, Jiannis K. .

NEW JOURNAL OF PHYSICS, 2014, 16

[7] Measuring topology in a laser-coupled honeycomb lattice: from Chern insulators to topological semi-metals [J].

Goldman, N. ;

Anisimovas, E. ;

Gerbier, F. ;

Oehberg, P. ;

Spielman, I. B. ;

Juzeliunas, G. .

NEW JOURNAL OF PHYSICS, 2013, 15

[8] MODEL FOR A QUANTUM HALL-EFFECT WITHOUT LANDAU-LEVELS - CONDENSED-MATTER REALIZATION OF THE PARITY ANOMALY [J].

HALDANE, FDM .

PHYSICAL REVIEW LETTERS, 1988, 61 (18) :2015-2018

[9] Colloquium: Topological insulators [J].

Hasan, M. Z. ;

Kane, C. L. .

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

[10] Experimental realization of the topological Haldane model with ultracold fermions [J].

Jotzu, Gregor ;

Messer, Michael ;

Desbuquois, Remi ;

Lebrat, Martin ;

Uehlinger, Thomas ;

Greif, Daniel ;

Esslinger, Tilman .

NATURE, 2014, 515 (7526) :237-U191