Order by disorder in a four flavor Mott-insulator on the fcc lattice
arXiv:1511.05765 · doi:10.1103/PhysRevB.93.075137
Abstract
The classical ground states of the SU(4) Heisenberg model on the face centered cubic lattice constitute a highly degenerate manifold. We explicitly construct all the classical ground states of the model. To describe quantum fluctuations above these classical states, we apply linear flavor-wave theory. At zero temperature, the bosonic flavor waves select the simplest of these SU(4) symmetry breaking states, the four-sublattice ordered state defined by the cubic unit cell of the fcc lattice. Due to geometrical constraints, flavor waves interact along specific planes only, thus rendering the system effectively two dimensional and forbidding ordering at finite temperatures. We argue that longer range interactions generated by quantum fluctuations can shift the transition to finite temperatures.
References in corpus (35)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- A Mott insulator of fermionic atoms in an optical lattice
- Creating, moving and merging Dirac points with a Fermi gas in a tunable honeycomb lattice
- Two-orbital SU(N) magnetism with ultracold alkaline-earth atoms
- Influence of nearly resonant light on the scattering length in low-temperature atomic gases
- Interatomic collisions in a tightly confined Bose gas
- Short-range quantum magnetism of ultracold fermions in an optical lattice
- Observation of two-orbital spin-exchange interactions with ultracold SU(N)-symmetric fermions
- An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
- Ultracold Fermi Gases with Emergent SU(N) Symmetry
- Realization of SU(2)*SU(6) Fermi System
- SU(4) Theory for Spin Systems with Orbital Degeneracy
- Degenerate Fermi Gas of Sr
- Spin-orbital quantum liquid on the honeycomb lattice
- Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
- SU(4) spin-orbit critical state in one dimension
- Three-sublattice ordering of the SU(3) Heisenberg model of three-flavor fermions on the square and cubic lattices
- Thermodynamics of the one-dimensional SU(4) symmetric spin-orbital model
- Coherent multi-flavour spin dynamics in a fermionic quantum gas
- Resonating plaquette phases in large spin cold atom systems
- Spin--orbital interaction for face-sharing octahedra: Realization of a highly symmetric SU(4) model
- A Z spin-orbital liquid state in the square lattice Kugel-Khomskii model
- XYZ quantum Heisenberg models with p-orbital bosons
- Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
- Spontaneous plaquette formation in the SU(4) Spin-Orbital ladder
- Plaquette Ground State in the Two-dimensional SU(4) Spin-Orbital Model
- Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
- Gauge fields emerging from time reversal symmetry breaking for spin-5/2 fermions in a honeycomb lattice
- Pomeranchuk cooling of the SU() ultra-cold fermions in optical lattices
- Resonating singlet valence plaquettes
- Exotic magnetic orders for high spin ultracold fermions
- Real-space perturbation theory for frustrated magnets: application to magnetization plateaus
- Tetramerization in a SU(4)-Heisenberg model on the honeycomb lattice
- Spin liquid phases of alkaline-earth-metal atoms at finite temperature
- Spin wave theory study of neutron intensity, magnetic field, and anisotropy of Type IIA FCC antiferromagnet