Two dimensional electron gas near full polarization

TL;DR

This paper analyzes the Fermi liquid behavior of a two-dimensional electron gas near full spin polarization, predicting thermodynamic property changes such as a compressibility jump and magnetization cusp at the critical magnetic field.

Contribution

It establishes the consistency of Fermi liquid theory near full polarization and derives relations between thermodynamic properties and Fermi liquid constants.

Findings

Thermodynamic compressibility jumps at the critical field H_c.

Magnetization exhibits a cusp with specific field dependence.

Predicted non-analytic behavior near the polarization transition.

Abstract

We establish the consistency of the Fermi liquid description and find a relation between Fermi liquid constants for the two dimensional electron system near the point of full polarization due to a parallel magnetic field $H$. Our results enable us to predict connections between different thermodynamic properties of the system. In particular, we find that near the point of full polarization $H_c$, the thermodynamic compressibility of the system experiences a jump with the subleading $(H_c-H)^{1/2}$ dependence on the magnetic field. Also, the magnetization has a cusp with the dependence of the type $(H-H_c) + (H_c-H)^{3/2}$ at $H<H_c$.