Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
arXiv:0906.3718 · doi:10.1103/PhysRevLett.103.135301
Abstract
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.
4 pages, 2 figures, 1 table. Minor changes from v2. Final published version
References in corpus (16)
- Many-Body Physics with Ultracold Gases
- Non-Abelian Anyons and Topological Quantum Computation
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- U(1) Gauge Theory of the Hubbard Model : Spin Liquid States and Possible Application to k-(BEDT-TTF)_2 Cu_2 (CN)_3
- An exact chiral spin liquid with non-Abelian anyons
- Degenerate Fermi Gases of Ytterbium
- Quantum computing with alkaline earth atoms
- Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
- Tomographic RF Spectroscopy of a Trapped Fermi Gas at Unitarity
- Optical atomic coherence at the one-second time scale
- Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
- Resonating plaquette phases in large spin cold atom systems
- A Z spin-orbital liquid state in the square lattice Kugel-Khomskii model
- Minimum instances of topological matter in an optical plaquette
- Exact spontaneous plaquette ground states for high-spin ladder models
- Resonating singlet valence plaquettes
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- Exotic many-body physics with large-spin Fermi gases
- Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
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