Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling
arXiv:1002.0287 · doi:10.1103/PhysRevLett.105.050402
Abstract
We study the influence of the quadratic Zeeman effect in the Mott-insulator phases of hard-core spin-3/2 fermions. We show that contrary to spinor bosons, any quadratic Zeeman coupling preserves a symmetry, leading for large-enough quadratic Zeeman coupling to an isotropic pseudo-spin-1/2 Heisenberg antiferromagnet. Depending on the scattering lengths, on 1D lattices the quadratic Zeeman coupling can induce either a Kosterlitz-Thouless transition between a gapped dimerized spin-3/2 phase and a gapless pseudo-spin-1/2 antiferromagnet, or a commensurate-incommensurate transition from a gapless spin-liquid into the pseudo-spin-1/2 antiferromagnet. Similar arguments allow to foresee corresponding transitions on ladder type and square lattices. We analyze various observables which should reveal in experiments these phases.
4 pages, 3 figures
References in corpus (16)
- Many-Body Physics with Ultracold Gases
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- "Deconfined" quantum critical points
- Matrix Product Density Operators: Simulation of finite-T and dissipative systems
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Degenerate Fermi Gases of Ytterbium
- Ultracold fermions and the SU(N) Hubbard model
- Color Superfluidity and "Baryon" Formation in Ultracold Fermions
- Quantum Non-Demolition Detection of Strongly Correlated Systems
- Competing orders in one dimensional spin 3/2 fermionic systems
- Superfluidity and magnetism in multicomponent ultracold fermions
- Pairing in a three component Fermi gas
- Multi-resonant spinor dynamics in a Bose-Einstein condensate
- Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
- Confinement vs Deconfinement of Cooper Pairs in One-Dimensional Spin-3/2 Fermionic Cold Atoms
- Magnetic Phase Transitions in One-dimensional Strongly Attractive Three-Component Ultracold Fermions