Exactly solvable model for isospin S=3/2 fermionic atoms on an optical lattice

Abstract

We propose an exact solution of a model describing a low energy behavior of cold isospin S=3/2 fermionic atoms on a one-dimensional optical lattice. Depending on the band filling the effective field theory has a form of a deformed Gross-Neveu model with either $O(7)\times {\mathbb{Z}}_2$ (half filling) or $U(1)\times O(5)\times {\mathbb{Z}}_2$ symmetry.

4 pages, no figures, replaced with the final version to appear in PRL

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Cited by in corpus (29)

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• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning field quantum Monte-Carlo simulations
• Mott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions
• 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
• Haldane charge conjecture in one-dimensional multicomponent fermionic cold atoms
• Exotic many-body physics with large-spin Fermi gases
• Quantum magnetism of ultra-cold fermion systems with the symplectic symmetry
• Spin-quadrupole ordering of spin-3/2 ultracold fermionic atoms in optical lattices in the one-band Hubbard model
• Multiflavor Mott insulators in quantum materials and ultracold atoms
• Ultracold atomic Bose and Fermi spinor gases in optical lattices
• Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach
• Competing orders in the generalized Hund chain model at half-filling
• Mott-insulator phases of spin-3/2 fermions in the presence of quadratic Zeeman coupling
• Universal Tomonaga-Luttinger liquid phases in one-dimensional strongly attractive SU(N) fermionic cold atoms
• Unified description of pairing, trionic and quarteting states for one-dimensional SU(4) attractive fermions
• Duality approach to one-dimensional degenerate electronic systems
• Analytical thermodynamics of a strongly attractive three-component Fermi gas in one dimension
• Effective super Tonks-Girardeau gases as ground states of strongly attractive multi-component fermions
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Exotic pairing in 1D spin-3/2 atomic gases with $SO(4)$ symmetry
• Vortex Molecules in Spinor Condensates
• Thermodynamics and spin-charge separation of one-dimensional strongly repulsive three-component fermions
• The Symmetry Principle in Condensed Matter Physics (I)
• Exact solutions of a one-dimensional mixture of spinor bosons and spinor fermions