The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Composite Fermion Theory for Bosonic Quantum Hall States on Lattices
Open accessAbstract
We study the ground states of the Bose-Hubbard model in a uniform magnetic field, motivated by the physics of cold atomic gases on lattices at high vortex density. Mapping the bosons to composite fermions (CF) leads to the prediction of quantum Hall fluids that have no counterpart in the continuum. We construct trial states for these phases and test numerically the predictions of the CF model. We establish the existence of strongly correlated phases beyond those in the continuum limit and provide evidence for a wider scope of the composite fermion approach beyond its application to the lowest Landau level.
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Cites
Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
Greiner, M., Mandel, O., Esslinger, T., Hänsch, T. W., & Bloch, I. (2002) · Nature · doi:10.1038/415039a · Cited by 5,935
Energy levels and wave functions of Bloch electrons in rational and irrational magnetic fields
Hofstadter, D. R. (1976) · Physical Review B · doi:10.1103/physrevb.14.2239 · Cited by 3,495
Composite-fermion approach for the fractional quantum Hall effect
Jain, J. K. (1989) · Physical Review Letters · doi:10.1103/physrevlett.63.199 · Cited by 2,346
TOPOLOGICAL ORDERS IN RIGID STATES
WEN, X. G. (1990) · International Journal of Modern Physics B · doi:10.1142/s0217979290000139 · Cited by 1,115
Jaksch, D., & Zoller, P. (2003) · New Journal of Physics · doi:10.1088/1367-2630/5/1/356 · Cited by 777
Cited by
Colloquium : Artificial gauge potentials for neutral atoms
Dalibard, J., Gerbier, F., Juzeliūnas, G., & Öhberg, P. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1523 · Cited by 2,033
Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
Aidelsburger, M., Atala, M., Lohse, M., Barreiro, J. T., Paredes, B., & Bloch, I. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.185301 · Cited by 1,435
Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices
Miyake, H., Siviloglou, G. A., Kennedy, C. J., Burton, W. C., & Ketterle, W. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.185302 · Cited by 1,041
Topological bands for ultracold atoms
Cooper, N. R., Dalibard, J., & Spielman, I. B. (2019) · Reviews of Modern Physics · doi:10.1103/revmodphys.91.015005 · Cited by 940
Self-citationRegnault, N., & Bernevig, B. A. (2011) · Physical Review X · doi:10.1103/physrevx.1.021014 · Cited by 608
Metadata
- Authors
- Möller, G., & Cooper, N. R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-09-04
- Volume
- 103
- Issue
- 10
- Pages
- 105303-105303
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1832427786
- Cited by
- 163
- References
- 5
- FWCI
- 5.58
- Type
- journal article
- Language
- en
- Open access
- green
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