The effective mass of two--dimensional 3He

TL;DR

This paper calculates the effective mass of two-dimensional 3He using diffusion Monte Carlo data, revealing the roles of spin and density fluctuations and showing a divergence at higher densities, consistent with experimental observations.

Contribution

It introduces a method combining diffusion Monte Carlo data with sumrules to compute the effective mass, highlighting the impact of fluctuations in 2D 3He.

Findings

Both spin and density fluctuations contribute equally to the effective mass.

The effective mass increases with density and diverges at a critical point.

Results agree with recent experimental measurements.

Abstract

We use structural information from diffusion Monte Carlo calculations for two--dimensional 3He to calculate the effective mass. Static effective interactions are constructed from the density-- and spin structure functions using sumrules. We find that both spin-- and density-- fluctuations contribute about equally to the effective mass. Our results show, in agreement with recent experiments, a flattening of the single--particle self--energy with increasing density, which eventually leads to a divergent effective mass.