Quantum Monte Carlo calculation of the zero-temperature phase diagram of the two-component fermionic hard-core gas in two dimensions

Abstract

Motivated by potential realizations in cold-atom or cold-molecule systems, we have performed quantum Monte Carlo simulations of two-component gases of fermions in two dimensions with hard-core interactions. We have determined the gross features of the zero-temperature phase diagram, by investigating the relative stabilities of paramagnetic and ferromagnetic fluids and crystals. We have also examined the effect of including a pairwise, long-range r^(-3) potential between the particles. Our most important conclusion is that there is no region of stability for a ferromagnetic fluid phase, even if the long-range interaction is present. We also present results for the pair-correlation function, static structure factor, and momentum density of two-dimensional hard-core fluids.

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Cited by in corpus (6)

• Two-dimensional short-range interacting attractive and repulsive Fermi gases at zero temperature
• Effective-range dependence of two-dimensional Fermi gases
• Interaction energy and itinerant ferromagnetism in a strongly interacting Fermi gas in the absence of molecule formation
• Finite range and upper branch effects on itinerant ferromagnetism in repulsive Fermi gases: Bethe-Goldstone ladder resummation approach
• Quantum Monte Carlo study of low-dimensional Fermi fluids of dipolar atoms
• Acceleration of the CASINO quantum Monte Carlo software using graphics processing units and OpenACC