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Fractional Quantum Hall States at Zero Magnetic Field
Open accessAbstract
We present a simple prescription to flatten isolated Bloch bands with a nonzero Chern number. We first show that approximate flattening of bands with a nonzero Chern number is possible by tuning ratios of nearest-neighbor and next-nearest-neighbor hoppings in the Haldane model and, similarly, in the chiral-π-flux square lattice model. Then we show that perfect flattening can be attained with further range hoppings that decrease exponentially with distance. Finally, we add interactions to the model and present exact diagonalization results for a small system at 1/3 filling that support (i) the existence of a spectral gap, (ii) that the ground state is a topological state, and (iii) that the Hall conductance is quantized.
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Cited by
Experimental realization of the topological Haldane model with ultracold fermions
Jotzu, G., Messer, M., Desbuquois, R., Lebrat, M., Uehlinger, T., Greif, D., & Esslinger, T. (2014) · Nature · doi:10.1038/nature13915 · Cited by 2,017
The Quantum Anomalous Hall Effect: Theory and Experiment
Liu, C.-X., Zhang, S.-C., & Qi, X.-L. (2016) · Annual Review of Condensed Matter Physics · doi:10.1146/annurev-conmatphys-031115-011417 · Cited by 617
Fractional Chern insulators in magic-angle twisted bilayer graphene
Xie, Y., Pierce, A. T., Park, J. M., Parker, D. E., Khalaf, E., Ledwith, P., Cao, Y., Lee, S. H., Chen, S., Forrester, P. R., et al. (2021) · Nature · doi:10.1038/s41586-021-04002-3 · Cited by 523
TOPOLOGICAL FLAT BAND MODELS AND FRACTIONAL CHERN INSULATORS
BERGHOLTZ, E. J., & LIU, Z. (2013) · International Journal of Modern Physics B · doi:10.1142/s021797921330017x · Cited by 522
Cascade of correlated electron states in the kagome superconductor CsV3Sb5
Zhao, H., Li, H., Ortiz, B. R., Teicher, S. M. L., Park, T., Ye, M., Wang, Z., Balents, L., Wilson, S. D., & Zeljkovic, I. (2021) · Nature · doi:10.1038/s41586-021-03946-w · Cited by 513
Metadata
- Authors
- Neupert, T., Santos, L., Chamon, C., & Mudry, C.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-06-06
- Volume
- 106
- Issue
- 23
- Pages
- 236804-236804
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2075346611
- Cited by
- 1,090
- References
- 0
- FWCI
- 35.62
- Type
- journal article
- Language
- en
- Open access
- green
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