Magnetism and pairing of two-dimensional trapped fermions

TL;DR

This paper uses quantum Monte Carlo simulations to explore magnetic and pairing phenomena in two-dimensional trapped fermions, providing insights into experimental conditions for observing these phases.

Contribution

It offers the first detailed analysis of local magnetic and paired phases in 2D trapped fermions at experimentally relevant temperatures using large-scale quantum Monte Carlo simulations.

Findings

Identifies temperature and interaction regimes for magnetic and d-wave pairing

Provides relation between entropy and temperature in 2D fermionic systems

Suggests optimal conditions for experimental detection of phases

Abstract

The emergence of local phases in a trapped two-component Fermi gas in an optical lattice is studied using quantum Monte Carlo simulations. We treat temperatures that are comparable or lower than those presently achievable in experiments and large enough systems that both magnetic and paired phases can be detected by inspection of the behavior of suitable short-range correlations. We use the latter to suggest the interaction strength and temperature range at which experimental observation of incipient magnetism and d-wave pairing are more likely and evaluate the relation between entropy and temperature in two-dimensional confined fermionic systems.