Universal thermodynamics of an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>SU</mml:mi><mml:mo>(</mml:mo><mml:mi>N</mml:mi><mml:mo>)</mml:mo></mml:math> Fermi-Hubbard model

Abstract

The authors study thermodynamic properties of the SU($N$) Fermi-Hubbard model in 2D square lattices and discover simple scaling laws of the energy, the number of on-site pairs, and the kinetic energy with respect to $N$ when the temperature is above the superexchange energy. The results establish a limit to the cooling for SU($N$) fermions in 2D, in contrast to the arbitrarily low temperatures that could potentially be achieved in 1D.

Topics & Concepts