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Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
Open accessAbstract
We study Mott insulators of fermionic alkaline earth atoms, described by Heisenberg spin models with enhanced SU(N) symmetry. In dramatic contrast to SU(2) magnetism, more than two spins are required to form a singlet. On the square lattice, the classical ground state is highly degenerate and magnetic order is thus unlikely. In a large-N limit, we find a chiral spin liquid ground state with topological order and Abelian fractional statistics. We discuss its experimental detection. Chiral spin liquids with non-Abelian anyons may also be realizable with alkaline earth atoms.
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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
Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Lewenstein, M., Sanpera, A., Ahufinger, V., Damski, B., Sen(De), A., & Sen, U. (2007) · Advances in Physics · doi:10.1080/00018730701223200 · Cited by 2,104
Jaksch, D., & Zoller, P. (2005) · Annals of Physics · doi:10.1016/j.aop.2004.09.010 · Cited by 976
12-Anyons in Small Atomic Bose-Einstein Condensates
Paredes, B., Fedichev, P., Cirac, J. I., & Zoller, P. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.010402 · Cited by 237
Cited by
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339
Probing topological spin liquids on a programmable quantum simulator
Semeghini, G., Levine, H., Keesling, A., Ebadi, S., Wang, T. T., Bluvstein, D., Verresen, R., Pichler, H., Kalinowski, M., Samajdar, R., et al. (2021) · Science · doi:10.1126/science.abi8794 · Cited by 781
Topological Superconductivity in Twisted Multilayer Graphene
Xu, C., & Balents, L. (2018) · Physical Review Letters · doi:10.1103/physrevlett.121.087001 · Cited by 430
Spectroscopic observation of SU( N )-symmetric interactions in Sr orbital magnetism
Zhang, X., Bishof, M., Bromley, S. L., Kraus, C. V., Safronova, M. S., Zoller, P., Rey, A. M., & Ye, J. (2014) · Science · doi:10.1126/science.1254978 · Cited by 370
Self-citationAtomic Quantum Simulation ofU(N)andSU(N)Non-Abelian Lattice Gauge Theories
Banerjee, D., Bögli, M., Dalmonte, M., Rico, E., Stebler, P., Wiese, U.-J., & Zoller, P. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.125303 · Cited by 289
Metadata
- Authors
- Hermele, M., Gurarie, V., & Rey, A. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2009-09-25
- Volume
- 103
- Issue
- 13
- Pages
- 135301-135301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2012527129
- Cited by
- 242
- References
- 4
- FWCI
- 11.52
- Type
- journal article
- Language
- en
- Open access
- green
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- Hermele, M., Gurarie, V., & Rey, A. M. (2009). Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid. Physical Review Letters. https://doi.org/10.1103/physrevlett.103.135301
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