Ground State Energy of Dilute Fermi Gases in 1D
Johannes Agerskov, Robin Reuvers, Jan Philip Solovej
Published: 2025/8/30
Abstract
We study the spin-J Fermi gas, interacting through a general repulsive 2-body potential, and prove asymptotics of the ground state energy in the dilute limit. The asymptotic behaviour is given in terms of the ground state energy of a spin chain, which is the Heisenberg antiferromagnet in the case of spin-1/2 fermions.