Pomeranchuk cooling of the SU($2N$) ultra-cold fermions in optical lattices

Abstract

We investigate the thermodynamic properties of a half-filled SU(2N) Fermi-Hubbard model in the two-dimensional square lattice using the determinantal quantum Monte Carlo simulation, which is free of the fermion "sign problem". The large number of hyperfine-spin components enhances spin fluctuations, which facilitates the Pomeranchuk cooling to temperatures comparable to the superexchange energy scale at the case of SU$(6)$. Various quantities including entropy, charge fluctuation, and spin correlations have been calculated.

7 pages

References in corpus (11)

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• Mott made easy
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Cited by in corpus (37)

• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Phases of one-dimensional SU(N) cold atomic Fermi gases --from molecular Luttinger liquids to topological phases
• Fermion-induced quantum critical points
• Majorana Positivity and the Fermion sign problem of Quantum Monte Carlo Simulations
• Spin-orbit coupled two-electron Fermi gases of ytterbium atoms
• Dimerized Solids and Resonating Plaquette Order in SU(N)-Dirac Fermions
• Competing orders in the 2D half-filled SU(2N) Hubbard model through the pinning field quantum Monte-Carlo simulations
• Symmetric Fermion Mass Generation as Deconfined Quantum Criticality
• Mott insulating states and quantum phase transitions of correlated SU(2N) Dirac fermions
• Tangent Space Approach for Thermal Tensor Network Simulations of the 2D Hubbard Model
• Quantum magnetic properties of the SU(2N) Hubbard model in the square lattice: a quantum Monte Carlo study
• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Quantum Monte Carlo simulation of thermodynamic properties of SU(2N) ultracold fermions in optical lattices
• Synthetic gauge fields stabilize a chiral spin liquid phase
• Unified Phase Diagram of Antiferromagnetic SU(N) Spin Ladders
• SU(3) Fermions on the Honeycomb Lattice at 1/3-Filling
• Critical entropies and magnetic-phase-diagram analysis of ultracold three-component fermionic mixtures in optical lattices
• Interaction effects with varying $N$ in SU($N$) symmetric fermion lattice systems
• Metal-insulator transition and quantum magnetism in the SU(3) Fermi-Hubbard Model: Disentangling Nesting and the Mott Transition
• Dirac fermions with plaquette interactions. II. SU(4) phase diagram with Gross-Neveu criticality and quantum spin liquid
• Structure of Spin Correlations in High Temperature SU($N$) Quantum Magnets
• Dirac fermions with plaquette interactions. III. SU(N) phase diagram with Gross-Neveu criticality and first-order phase transition
• Finite-temperature valence-bond-solid transitions and thermodynamic properties of interacting SU($2N$) Dirac fermions
• Slater and Mott insulating states in the SU(6) Hubbard model
• Flat band induced non-Fermi liquid behavior of multicomponent fermions
• Emergence of Competing Orders and Possible Quantum Spin Liquid in SU(N) Fermions
• Breaking of SU(4) symmetry and interplay between strongly correlated phases in the Hubbard model
• Projection of Infinite-$U$ Hubbard Model and Algebraic Sign Structure
• Spin liquid phases of alkaline-earth-metal atoms at finite temperature
• "Haldane" phases with ultracold fermionic atoms in double-well optical lattices
• Competing valence bond and symmetry breaking Mott states of spin-3/2 fermions on a honeycomb lattice
• Critical exponents of nonlinear sigma model on Grassmann manifold $U(N)/U(m)U(N-m)$ by $1/N$ expansion
• Quantum Monte Carlo simulations of thermodynamic properties of attractive SU($3$) Dirac fermions
• Transition from band insulator to Mott insulator and formation of local moment in half-filled ionic SU($N$) Hubbard model
• Order by disorder in a four flavor Mott-insulator on the fcc lattice
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model