Ferromagnetism in the Hubbard model with topological/non-topological flat bands

被引：67

作者：

Katsura, Hosho ^{[1
,2
]}

Maruyama, Isao ^{[3
]}

Tanaka, Akinori ^{[4
]}

Tasaki, Hal ^{[5
]}

机构：

[1] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 USA

[2] RIKEN, Cross Correlated Mat Res Grp CMRG, ASI, Wako, Saitama 3510198, Japan

[3] Osaka Univ, Grad Sch Engn Sci, Osaka 5608531, Japan

[4] Ariake Natl Coll Technol, Dept Gen Educ, Fukuoka 8368585, Japan

[5] Gakushuin Univ Mejiro, Dept Phys, Toshima Ku, Tokyo 1718588, Japan

来源：

EPL | 2010年 / 91卷 / 05期

关键词：

ELECTRON GROUND-STATES; QUANTIZED HALL CONDUCTANCE; BETHE-ANSATZ EQUATIONS; HGTE QUANTUM-WELLS; WAVE-FUNCTIONS; HOFSTADTER PROBLEM; MAGNETIC-FIELDS; BLOCH ELECTRONS; LINE GRAPHS;

D O I：

10.1209/0295-5075/91/57007

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We introduce and study two classes of Hubbard models with magnetic flux or with spin-orbit coupling, which have a flat lowest band separated from other bands by a non-zero gap. We study the Chern number of the flat bands, and find that it is zero for the first class but can be non-trivial in the second. We also prove that the introduction of on-site Coulomb repulsion leads to ferromagnetism in both the classes. Copyright (C) EPLA, 2010

引用

页数：6

共 38 条

[11] Quantum group, Bethe ansatz equations, and Bloch wave functions in magnetic fields
Hatsugai, Y
Kohmoto, M
Wu, YS
[J]. PHYSICAL REVIEW B, 1996, 53 (15): : 9697 - 9712
[12] ENERGY-LEVELS AND WAVE-FUNCTIONS OF BLOCH ELECTRONS IN RATIONAL AND IRRATIONAL MAGNETIC-FIELDS
HOFSTADTER, DR
[J]. PHYSICAL REVIEW B, 1976, 14 (06): : 2239 - 2249
[13] Quantum spin Hall effect in graphene
Kane, CL
Mele, EJ
[J]. PHYSICAL REVIEW LETTERS, 2005, 95 (22)
[14] Z2 topological order and the quantum spin Hall effect -: art. no. 146802
Kane, CL
Mele, EJ
[J]. PHYSICAL REVIEW LETTERS, 2005, 95 (14)
[15] KITAEV A, ARXIV09012686V2CONDM, P56211
[16] Quantum spin hall insulator state in HgTe quantum wells
Koenig, Markus
Wiedmann, Steffen
Bruene, Christoph
Roth, Andreas
Buhmann, Hartmut
Molenkamp, Laurens W.
Qi, Xiao-Liang
Zhang, Shou-Cheng
[J]. SCIENCE, 2007, 318 (5851) : 766 - 770
[17] 2 THEOREMS ON THE HUBBARD-MODEL
LIEB, EH
[J]. PHYSICAL REVIEW LETTERS, 1989, 62 (10) : 1201 - 1204
[18] Skyrmions without sigma models in quantum Hall ferromagnets
MacDonald, AH
Fertig, HA
Brey, L
[J]. PHYSICAL REVIEW LETTERS, 1996, 76 (12) : 2153 - 2156
[19] FERROMAGNETISM IN THE HUBBARD-MODEL - EXAMPLES FROM MODELS WITH DEGENERATE SINGLE-ELECTRON GROUND-STATES
MIELKE, A
TASAKI, H
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1993, 158 (02) : 341 - 371
[20] FERROMAGNETIC GROUND-STATES FOR THE HUBBARD-MODEL ON LINE GRAPHS
MIELKE, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (02): : L73 - L77

← 1 2 3 4 →