Quantum Antiferromagnetism of Fermions in Optical Lattices with Half-filled p-band

Abstract

We study Fermi gases in a three-dimensional optical lattice with five fermions per site, i.e. the s-band is completely filled and the p-band with three-fold degeneracy is half filled. We show that, for repulsive interaction between fermions, the system will exhibit spin-3/2 antiferromagnetic order at low temperature. This conclusion is obtained in strong interaction regime by strong coupling expansion which yields an isotropic spin-3/2 Heisenberg model, and also in weak interaction regime by Hatree-Fock mean-field theory and analysis of Fermi surface nesting. We show that the critical temperature for this antiferromagnetism of a p-band Mott insulator is about two orders of magnitudes higher than that of an $s$-band Mott insulator, which is close to the lowest temperature attainable nowadays.

References in corpus (9)

• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Exact SO(5) Symmetry in spin 3/2 fermionic system
• State preparation and dynamics of ultracold atoms in higher lattice orbitals
• Multi-flavor bosonic Hubbard models in the first excited Bloch band of an optical lattice
• Atomic matter of non-zero momentum Bose-Einstein condensation and orbital current order
• Zoo of quantum phases and excitations of cold bosonic atoms in optical lattices
• Prediction of quantum stripe ordering in optical lattices
• Bond algebraic liquid phase in strongly correlated multiflavor cold atom systems

Cited by in corpus (27)

• The $p_{x,y}$-orbital counterpart of graphene: cold atoms in the honeycomb optical lattice
• Physics of higher orbital bands in optical lattices: a review
• Unconventional Bose-Einstein Condensations Beyond the "No-node" Theorem
• Proposed realization of itinerant ferromagnetism in optical lattices
• Incommensurate superfluidity of bosons in a double-well optical lattice
• Multiband bosons in optical lattices
• Quantum states of p-band bosons in optical lattices
• How to estimate the differential acceleration in a two-species atom interferometer to test the equivalence principle
• Nontrivial Haldane phase of an atomic two-component Fermi gas trapped in a 1d optical lattice
• Interaction-induced excited-band condensate in a double-well optical lattice
• Magnetism of Cold Fermionic Atoms on p-Band of an Optical Lattice
• Dispersive spectrum and orbital order of spinless p-band fermions in an optical lattice
• Loop Structure Stability of a Double-Well-Lattice BEC
• Superfluid phases of fermions with hybridized $s$ and $p$ orbitals
• Twisted-bilayer FeSe and the Fe-based superlattices
• Spin-orbital exchange of strongly interacting fermions on the $p$-band of a two-dimensional optical lattice
• P-band in a rotating optical lattice
• Experimental realization of a high precision tunable hexagonal optical lattice
• Renormalization group analysis of $p$-orbital Bose-Einstein condensates in a square optical lattice
• Quantum phases in $p$-orbital degenerated attractive 1D fermionic optical lattices
• Interband physics in an ultra-cold Fermi gas in an optical lattice
• Spin-orbit coupled repulsive Fermi atoms in a one-dimensional optical lattice
• Loading of bosons in optical lattices into the p band
• Mott insulating phases and magnetism of fermions in a double-well optical lattice
• Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices
• Multiband effects on the conductivity for a multiband Hubbard model
• Phase diagram of strongly attractive $p$-orbital fermions on optical lattices