Fermions in Two Dimensions: Scattering and Many-Body Properties

Galea, Alexander; Zielinski, Tash; Gandolfi, Stefano; Gezerlis, Alexandros

doi:10.1007/s10909-017-1803-1

Title: Fermions in Two Dimensions: Scattering and Many-Body Properties

Journal Article · Thu Aug 10 00:00:00 EDT 2017 · Journal of Low Temperature Physics

DOI:https://doi.org/10.1007/s10909-017-1803-1· OSTI ID:1406224

Galea, Alexander ^[1]; Zielinski, Tash ^[1];

^[2];

^[1]

Univ. of Guelph, ON (Canada). Dept. of Physics
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Ultracold atomic Fermi gases in two dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a strongly interacting regime where the gas properties are yet to be fully understood. We have probed this regime for 2D Fermi gases by performing T = 0 ab initio diffusion Monte Carlo calculations. The many-body dynamics are largely dependent on the two-body interactions; therefore, we start with an in-depth look at scattering theory in 2D. We show the partial-wave expansion and its relation to the scattering length and effective range. Then, we discuss our numerical methods for determining these scattering parameters. Here, we close out this discussion by illustrating the details of bound states in 2D. Transitioning to the many-body system, we also use variationally optimized wave functions to calculate ground-state properties of the gas over a range of interaction strengths. We show results for the energy per particle and parametrize an equation of state. We then proceed to determine the chemical potential for the strongly interacting gas.

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Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Office of Science (SC). Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1406224

Report Number(s):: LA-UR-17-24235; TRN: US1703129

Journal Information:: Journal of Low Temperature Physics, Vol. 189, Issue 5-6; ISSN 0022-2291

Publisher:: Plenum PressCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 8 works

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Dynamical BCS Theory of a Two-Dimensional Attractive Fermi Gas: Effective Interactions from Quantum Monte Carlo Calculations Vitali, Ettore; Gonzalez, Jimmy Journal of Low Temperature Physics, Vol. 197, Issue 5-6 https://doi.org/10.1007/s10909-019-02226-2	journal	August 2019
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