4.8 Article

Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling

Journal

PHYSICAL REVIEW LETTERS
Volume 105, Issue 5, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.105.050402

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Funding

  1. DFG [GRK665, SFB407]

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We study the influence of the quadratic Zeeman effect on the Mott-insulator phases of hard-core 1D spin-3/2 fermions. We show that, contrary to spinor bosons, the quadratic Zeeman coupling preserves an SU(2) circle times SU(2) symmetry, leading for large-enough quadratic Zeeman coupling to an isotropic pseudospin-1/2 Heisenberg antiferromagnet. Decreasing the quadratic Zeeman coupling, this phase undergoes, depending on the scattering lengths, either a Kosterlitz-Thouless transition into a gapped dimerized phase or a commensurate-incommensurate transition into a gapless spin liquid. This rich phase diagram can be observed experimentally in four-component fermions in optical lattices under similar entropy constraints to those needed for Neel order in spin-1/2 gases.

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