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

TL;DR

This paper analytically investigates the finite-temperature dynamical properties of SU(N) fermionic Hubbard models in the spin-incoherent regime, providing insights relevant to ultracold atom experiments and matching recent experimental results.

Contribution

It introduces an analytical diagrammatic approach based on the atomic limit to compute spectral functions and lattice modulation responses for SU(N) fermionic Hubbard models at finite temperature.

Findings

Analytical spectral functions as functions of temperature, filling, and N.

Agreement with recent experiments on Yb-173 atoms.

Calculation of double occupancy production rates under lattice modulation.

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.