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Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands
Open accessAbstract
Recent proposals of topological flat band models have provided a new route to realize the fractional quantum Hall effect without Landau levels. We study hard-core bosons with short-range interactions in two representative topological flat band models, one of which is the well-known Haldane model (but with different parameters). We demonstrate that fractional quantum Hall states emerge with signatures of an even number of quasidegenerate ground states on a torus and a robust spectrum gap separating these states from the higher energy spectrum. We also establish quantum phase diagrams for the filling factor 1/2 and illustrate quantum phase transitions to other competing symmetry-breaking phases.
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Cites
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973
FIDELITY APPROACH TO QUANTUM PHASE TRANSITIONS
GU, S.-J. (2010) · International Journal of Modern Physics B · doi:10.1142/s0217979210056335 · Cited by 663
Cited by
Signatures of fractional quantum anomalous Hall states in twisted MoTe2
Cai, J., Anderson, E., Wang, C., Zhang, X., Liu, X., Holtzmann, W., Zhang, Y., Fan, F., Taniguchi, T., Watanabe, K., et al. (2023) · Nature · doi:10.1038/s41586-023-06289-w · Cited by 719
Regnault, N., & Bernevig, B. A. (2011) · Physical Review X · doi:10.1103/physrevx.1.021014 · Cited by 608
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
Lu, Y.-M., & Vishwanath, A. (2012) · Physical Review B · doi:10.1103/physrevb.86.125119 · Cited by 480
Topological Flat Band Models and Fractional Chern Insulators
Bergholtz, E. J., & Liu, Z. (2013) · doi:10.17169/refubium-19043 · Cited by 459
Metadata
- Authors
- Wang, Y.-F., Gu, Z.-C., Gong, C.-D., & Sheng, D. N.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2011-09-30
- Volume
- 107
- Issue
- 14
- Pages
- 146803-146803
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2161214498
- Cited by
- 318
- References
- 2
- FWCI
- 15.12
- Type
- journal article
- Language
- en
- Open access
- green
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- Wang, Y.-F., Gu, Z.-C., Gong, C.-D., & Sheng, D. N. (2011). Fractional Quantum Hall Effect of Hard-Core Bosons in Topological Flat Bands. Physical Review Letters. https://doi.org/10.1103/physrevlett.107.146803
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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