Mott insulators of ultracold fermionic alkaline earth atoms in three dimensions

Abstract

We study a class of SU(N) Heisenberg models, describing Mott insulators of fermionic ultra-cold alkaline earth atoms on the three-dimensional simple cubic lattice. Based on an earlier semiclassical analysis, magnetic order is unlikely, and we focus instead on a solvable large-N limit designed to address the competition among non-magnetic ground states. We find a rich phase diagram as a function of the filling parameter k, composed of a variety of ground states spontaneously breaking lattice symmetries, and in some cases also time reversal symmetry. One particularly striking example is a state spontaneously breaking lattice rotation symmetry, where the cubic lattice breaks up into bilayers, each of which forms a two-dimensional chiral spin liquid state.

10 pages, 3 figures. v2: minor changes

References in corpus (35)

• Many-Body Physics with Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• An exact chiral spin liquid with non-Abelian anyons
• Degenerate Fermi Gases of Ytterbium
• Ultracold fermions and the SU(N) Hubbard model
• Ultracold Gases of Ytterbium: Ferromagnetism and Mott States in an SU(6) Fermi System
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Spin-orbital quantum liquid on the honeycomb lattice
• Competing orders in one dimensional spin 3/2 fermionic systems
• Hidden symmetry and quantum phases in spin-3/2 cold atomic systems
• Spin Hamiltonian for which the Chiral Spin Liquid is the Exact Ground State
• Simultaneous dimerization and SU(4) symmetry breaking of 4-color fermions on the square lattice
• Bose-Einstein Condensation of an Ytterbium Isotope
• Double-degenerate Bose-Fermi mixture of strontium
• Non-Abelian Statistics in a Quantum Antiferromagnet
• Three-sublattice order in the SU(3) Heisenberg model on the square and triangular lattice
• Production of quantum degenerate strontium gases: Larger, better, faster, colder
• Topological liquids and valence cluster states in two-dimensional SU(N) magnets
• SU(N) magnetism in chains of ultracold alkaline-earth-metal atoms: Mott transitions and quantum correlations
• Resonating plaquette phases in large spin cold atom systems
• A Mott Insulator of Ultracold Alkaline-Earth-Like Atoms
• A Z${}_2$ spin-orbital liquid state in the square lattice Kugel-Khomskii model
• Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
• Detection and manipulation of nuclear spin states in fermionic strontium
• Simplex solid states of SU(N) quantum antiferromagnets
• Inelastic collisions and density-dependent excitation suppression in a ${}^{87}$Sr optical lattice clock
• Exact spontaneous plaquette ground states for high-spin ladder models
• Entropy dependence of correlations in one-dimensional SU(N) antiferromagnets
• Adiabatic loading of one-dimensional SU(N) alkaline earth fermions in optical lattices
• Exotic many-body physics with large-spin Fermi gases
• Resonating singlet valence plaquettes
• Ground state phase diagram of the repulsive SU(3) Hubbard model in Gutzwiller approximation
• Vanishing Neel Ordering of SU(n) Heisenberg Model in Three Dimensions
• Finite temperature dynamical properties of SU($N$) fermionic Hubbard models in the spin-incoherent regime

Cited by in corpus (10)

• Direct probing of the Mott crossover in the SU($N$) Fermi-Hubbard model
• Dimerized Solids and Resonating Plaquette Order in SU(N)-Dirac Fermions
• Solving correlation clustering with QAOA and a Rydberg qudit system: a full-stack approach
• Synthetic gauge fields stabilize a chiral spin liquid phase
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Stabilization of the chiral phase of the SU($6m$) Heisenberg model on the honeycomb lattice with $m$ particles per site for $m$ larger than 1
• Quantum dimer models emerging from large-spin ultracold atoms
• State selective cooling of $\mathrm{SU}(N)$ Fermi-gases
• The algebraic spin liquid in the SU(6) Heisenberg model on the kagome lattice