Work

The Weakly Coupled Two-Dimensional Fermi Polaron

Year: 2025

Type: article

Abstract: We analyze the ground state energy of N fermions in a two-dimensional box interacting with an impurity particle via two-body point interactions. We show that for weak coupling, the ground state energy is asymptotically described by the polaron energy, as proposed by F. Chevy in the physics literature. The polaron energy is the solution of a nonlinear equation involving the Green’s function of the free Fermi gas and the binding energy of the two-body point interaction. We provide quantitative error estimates that are uniform in the thermodynamic limit.

Source: Archive for Rational Mechanics and Analysis

DOI: 10.1007/s00205-025-02098-9

Author: David Mitrouskas

Institution: Institute of Science and Technology Austria

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Institute of Science and Technology Austria