Mean field study of the topological Haldane-Hubbard model of spin-1/2 fermions

被引：21

作者：

Arun, V. S. ^{[1
]}

Sohal, R. ^{[1
]}

Hickey, C. ^{[1
]}

Paramekanti, A. ^{[1
,2
]}

机构：

[1] Univ Toronto, Dept Phys, 60 St George St, Toronto, ON M5S 1A7, Canada

[2] Canadian Inst Adv Res, Toronto, ON M5G 1Z8, Canada

来源：

PHYSICAL REVIEW B | 2016年 / 93卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

HALL; REALIZATION; STATE; INSULATOR; PHASE;

D O I：

10.1103/PhysRevB.93.115110

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Motivated by exploring the effect of interactions on Chern insulators, and by recent experiments realizing topological bands for ultracold atoms in synthetic gauge fields, we study the honeycomb lattice Haldane-Hubbard model of spin-1/2 fermions. Using an unrestrictedmean field approach, wemap out the instability of the topological band insulator towards magnetically ordered insulators which emerge with increasing Hubbard repulsion. In addition to the topological Neel phase, we recover various chiral noncoplanar magnetic orders previously identified within a strong-coupling approach. We compute the band structure of these ordered phases, showing that the triple-Q tetrahedral phase harbors topological Chern bands with large Chern numbers.

引用

页数：8

共 65 条

[1]

Abanin D. A., ARXIV150905386

[2] 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

[3] Probing many-body states of ultracold atoms via noise correlations [J].

Altman, E ;

Demler, E ;

Lukin, MD .

PHYSICAL REVIEW A, 2004, 70 (01) :013603-1

[4] RESONATING VALENCE BONDS - NEW KIND OF INSULATOR [J].

ANDERSON, PW .

MATERIALS RESEARCH BULLETIN, 1973, 8 (02) :153-160

[5] TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS [J].

Bergholtz, Emil J. ;

Liu, Zhao .

INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2013, 27 (24)

[6] Precise Quantization of the Anomalous Hall Effect near Zero Magnetic Field [J].

Bestwick, A. J. ;

Fox, E. J. ;

Kou, Xufeng ;

Pan, Lei ;

Wang, Kang L. ;

Goldhaber-Gordon, D. .

PHYSICAL REVIEW LETTERS, 2015, 114 (18)

[7] Fractionalized topological insulators from frustrated spin models in three dimensions [J].

Bhattacharjee, Subhro ;

Kim, Yong Baek ;

Lee, Sung-Sik ;

Lee, Dung-Hai .

PHYSICAL REVIEW B, 2012, 85 (22)

[8]

Bukov M., ARXIV151002744

[9]

Chang CZ, 2015, NAT MATER, V14, P473, DOI [10.1038/NMAT4204, 10.1038/nmat4204]

[10] Detecting antiferromagnetism of atoms in an optical lattice via optical Bragg scattering [J].

Corcovilos, T. A. ;

Baur, S. K. ;

Hitchcock, J. M. ;

Mueller, E. J. ;

Hulet, R. G. .

PHYSICAL REVIEW A, 2010, 81 (01)

← 1 2 3 4 5 6 7 →