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 (13)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- 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
- Spin-orbital quantum liquid on the honeycomb lattice
- 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
- Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
- Resonating singlet valence plaquettes
- Real-space perturbation theory for frustrated magnets: application to magnetization plateaus
- Spin liquid phases of alkaline-earth-metal atoms at finite temperature