Magnetism and pairing of two-dimensional trapped fermions

Abstract

The emergence of local phases in a trapped two-component Fermi gas in an optical lattice is studied using quantum Monte Carlo simulations. We treat temperatures that are comparable or lower than those presently achievable in experiments and large enough systems that both magnetic and paired phases can be detected by inspection of the behavior of suitable short-range correlations. We use the latter to suggest the interaction strength and temperature range at which experimental observation of incipient magnetism and d-wave pairing are more likely and evaluate the relation between entropy and temperature in two-dimensional confined fermionic systems.

4 pages + supplementary material

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
• Local quantum criticality in confined fermions on optical lattices
• Superconductivity phase diagrams of electron doped cuprates R(2-x)CexCuO4 (R = La, Pr, Nd, Sm, and Eu)
• Fidelity and superconductivity in two-dimensional t-J models

Cited by in corpus (24)

• Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
• Site-resolved measurement of the spin-correlation function in the Hubbard model
• Observation of 2D fermionic Mott insulators of ${}^{40}$K with single-site resolution
• Thermodynamics of strongly interacting fermions in two-dimensional optical lattices
• Compressibility of a fermionic Mott insulator of ultracold atoms
• Fermions in 3D Optical Lattices: Cooling Protocol to Obtain Antiferromagnetism
• Thermodynamics and magnetic properties of the anisotropic 3D Hubbard model
• Universal probes for antiferromagnetic correlations and entropy in cold fermions on optical lattices
• Correlated Topological Phases and Exotic Magnetism with Ultracold Fermions
• Effect of particle statistics in strongly correlated two-dimensional Hubbard models
• Finite-temperature properties of strongly correlated fermions in the honeycomb lattice
• Short-Range Correlations and Cooling of Ultracold Fermions in the Honeycomb Lattice
• Magnetic, thermodynamic, and dynamical properties of the three-dimensional fermionic Hubbard model: A comprehensive Monte Carlo study
• Numerical results on the short-range spin correlation functions in the ground state of the two-dimensional Hubbard model
• Entanglement Mean Field Theory and the Curie-Weiss Law
• Polaronic correlations from optimized ancilla wave functions for the Fermi-Hubbard model
• Simulating heavy fermion physics in optical lattice: Periodic Anderson model with harmonic trapping potential
• Size and shape of Mott regions for fermionic atoms in a two-dimensional optical lattice
• Singlet pairing and superconductivity in t-J ladders with Mott insulating stripes
• An effective mean field theory for the coexistence of anti-ferromagnetism and superconductivity: Applications to iron-based superconductors and cold Bose-Fermi atomic mixtures
• Radio frequency spectroscopy of the attractive Hubbard model in a trap
• Optimized Confinement of Fermions in Two Dimensions
• Quantum Monte Carlo study of the metal-insulator crossover in the square-lattice Hubbard model
• Strong Boundary and Trap Potential Effects on Emergent Physics in Ultra-Cold Fermionic Gases