---
author:
- 'D.C.W. Foo$^1$'
- 'G.J. Conduit$^1$'
date: '$^1$*Cavendish Laboratory, J.J. Thomson Avenue, Cambridge, CB3 0HE, United Kingdom*\'
title: 'Diffusion Monte Carlo study of a spin-imbalanced two-dimensional Fermi gas with attractive interactions'
---

Introduction {#sec:intro}
============

One of the successes of condensed matter physics is the description of the phenomenon of superconductivity by Bardeen, Cooper, and Schrieffer (BCS) [@bcs] which described Cooper pair (an up and down-spin fermion) formation close to the Fermi surface in a many-body context. While only applicable for a certain class of systems, specifically those with an equal number of spin-up and spin-down fermions, BCS theory well describes many superconducting materials ancient [@supconelemrev; @supconcomprev] and modern [@consupconquacrys; @consupconhight] and so naturally numerous extensions have been proposed and considered.

For example, for systems under the influence of a strong magnetic field, a partial alignment of the fermion spins leads to a population imbalance and a shift in the sizes of the Fermi surfaces. While in the BCS theory such a strong magnetic field would suppress superconductivity entirely [@bcs], numerous proposals and extensions have arisen since then that might allow for such exotic pairing. For example, the minority spin species could pay the kinetic energy cost to 