On the ground state energy of a gas of interacting polarons in a magnetic field

TL;DR

This paper investigates the ground-state energy of a three-dimensional polaron gas in a magnetic field, deriving an upper bound using a variational approach based on a many-body transformation, with results analyzed across different densities and magnetic field strengths.

Contribution

It introduces a variational method to estimate the ground-state energy of a polaron gas in a magnetic field, incorporating a many-body generalization of the Lee-Low-Pines transformation.

Findings

Derived an upper bound for the ground-state energy.

Analyzed energy dependence on electron density and magnetic field.

Used Hartree-Fock approximation for key quantities.

Abstract

The ground-state energy of a three-dimensional polaron gas in a magnetic field is investigated. An upper bound for the ground-state energy is derived within a variational approach which is based on a many-body generalization of the Lee-Low-Pines transformation. The basic contributing ingredients found are the ground-state energy and the static structure factor of the homogeneous electron gas in a magnetic field. Both these quantities are derived in the Hartree-Fock approximation. The resulting ground-state energy of the polaron gas is analyzed as a function of the electron density and of the magnetic field strength.