Finite temperature dynamical properties of SU($N$) fermionic Hubbard models in the spin-incoherent regime

Abstract

We study strongly correlated Hubbard systems extended to symmetric $N$-component fermions. We focus on the intermediate-temperature regime between magnetic superexchange and interaction energy, which is relevant to current ultracold fermionic atom experiments. The $N$-component fermions are represented by slave particles, and, by using a diagrammatic technique based on the atomic limit, spectral functions are analytically obtained as a function of temperature, filling factor and the component number $N$. We also apply this analytical technique to the calculation of lattice modulation experiments. We compute the production rate of double occupancy induced by modulation of an optical lattice potential. Furthermore, we extend the analysis to take into account the trapping potential by use of the local density approximation. We find an excellent agreement with recent experiments on ${}^{173}$Yb atoms.

15 pages, 13 figures, published version

References in corpus (16)

• Many-Body Physics with Ultracold Gases
• Quantum State Engineering and Precision Metrology using State-Insensitive Light Traps
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• 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
• Mott Insulators of Ultracold Fermionic Alkaline Earth Atoms: Underconstrained Magnetism and Chiral Spin Liquid
• Two-color photoassociation spectroscopy of ytterbium atoms and the precise determinations of s-wave scattering lengths
• Double-degenerate Bose-Fermi mixture of strontium
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets
• Probing nearest-neighbor correlations of ultracold fermions in an optical lattice
• Dynamically Generated Double Occupancy as a Probe of Cold Atom Systems
• Ground States of the SU(N) Heisenberg Model
• Three-Component Fermi Gas in a one-dimensional Optical Lattice
• Phase diagram of one-dimensional earth-alkaline cold fermionic atoms
• Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices

Cited by in corpus (1)

• Mott transitions in the half-filled SU(2M) symmetric Hubbard model