2010/02/08 by Karen Rodríguez, Karen Rodriguez, Arturo Argüelles +6 · 2 citations
Physics and Astronomy · #Antiferromagnetism #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Coupling (piping) #Fermion #Magnetic field #Materials science #Mott insulator #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Zeeman effect #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevlett.105.050402
published as Phys. Rev. Lett. 105, 050402 (2010) · 4 pages, 3 figures
arxiv created 2010/02/08 · openalex publication_date 2010/07/27 · arxiv updated 2010/08/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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)⊗SU(2) symmetry, leading for large-enough quadratic Zeeman coupling to an isotropic pseudo-spin-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 Néel order in spin-1/2 gases.