Momentum-space instantons and maximally localized flat-band topological Hamiltonians

Physica Status Solidi - Rapid Research Letters

Volumn 7, Issue 1-2, 2013, Pages 154-156

  Jian, Chao Ming ^a   Gu, Zheng Cheng ^b,c   Qi, Xiao Liang ^a  

^a STANFORD UNIVERSITY   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^c California Institute of Technology   (United States)

Author keywords

Chern insulators; Elliptic functions; Instanton solution; Quantum Hall states; Topological flat band model

Indexed keywords

BAND INSULATORS; BRILLOUIN ZONES; CHERN NUMBERS; ELLIPTIC FUNCTIONS; FLAT BAND; FRACTIONAL QUANTUM HALL EFFECTS; INSTANTONS; LATTICE HAMILTONIANS; LOWER BOUNDS; NORMALIZATION FACTORS; QUANTUM HALL STATE;

QUANTUM HALL EFFECT; TOPOLOGY;

HAMILTONIANS;

EID: 84873652802     PISSN: 18626254     EISSN: 18626270     Source Type: Journal    
DOI: 10.1002/pssr.201206394     Document Type: Article

References (18)

1. D. J. Thouless et al., Phys. Rev. Lett. 49, 405 (1982).
2. F. D. M. Haldane, Phys. Rev. Lett. 61, 2015 (1988).
3. E. Tang et al., Phys. Rev. Lett. 106, 236802 (2011).
4. K. Sun et al., Phys. Rev. Lett. 106, 236803 (2011).
5. T. Neupert et al., Phys. Rev. Lett. 106, 236804 (2011).
6. D. N. Sheng et al., Nature Commun. 2, 389 (2011).
7. Y. F. Wang et al., Phys. Rev. Lett. 107, 146803 (2011).
8. N. Regnault and B. A. Bernevig, Phys. Rev. X 1, 021014 (2011).
9. S. A. Parameswaran et al., Phys. Rev. B 85, 241308 (2012).
10. X. L. Qi, Phys. Rev. Lett. 107, 126803 (2011).
11. B. A. Bernevig and N. Regnault, Phys. Rev. B 85, 075128 (2012).
12. Y. F. Wang et al., Phys. Rev. Lett. 108, 126805 (2012).
13. S. Yang et al., Phys. Rev. B 85, 205124 (2012).
14. S. Yang et al., ArXiv e-prints: 1205.5792 (May) (2012).
15. C. Lee et al., e-print arXiv:1207.5587 (2012).
16. A. M. Polyakov, Gauge Fields, and Strings (Harwood Academic Publishers, Chur, Switzerland, 1987).
17. T. Neupert et al., Phys. Rev. Lett. 108(4), 46806 (2012).
18. S. Yang, private communication.