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Title: Ground-state properties of strongly interacting Fermi gases in two dimensions

Abstract

Exact calculations are performed on the two-dimensional strongly interacting unpolarized uniform Fermi gas with a zero-range attractive interaction. Two auxiliary-field approaches are employed which accelerate the sampling of imaginary-time paths using BCS trial wave functions and a force bias technique. Their combination enables calculations on large enough lattices to reliably compute ground-state properties in the thermodynamic limit. An equation of state is obtained with a parametrization provided, which can serve as a benchmark and allow accurate comparisons with experiments. The pressure, contact parameter, and condensate fraction are determined systematically vs $$k_Fa$$ . The momentum distribution, pairing correlation, and the structure of the pair wave function are computed. The use of force bias to accelerate the Metropolis sampling of auxiliary fields in determinantal approaches is discussed.

Authors:
 [1];  [1];  [1]
  1. College of William and Mary, Williamsburg, VA (United States). Dept. of Physics
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1565361
Alternate Identifier(s):
OSTI ID: 1214347
Grant/Contract Number:  
AC05-00OR22725; SC0008627; DMR-1409510
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A - Atomic, Molecular, and Optical Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 3; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Optics; Physics

Citation Formats

Shi, Hao, Chiesa, Simone, and Zhang, Shiwei. Ground-state properties of strongly interacting Fermi gases in two dimensions. United States: N. p., 2015. Web. https://doi.org/10.1103/physreva.92.033603.
Shi, Hao, Chiesa, Simone, & Zhang, Shiwei. Ground-state properties of strongly interacting Fermi gases in two dimensions. United States. https://doi.org/10.1103/physreva.92.033603
Shi, Hao, Chiesa, Simone, and Zhang, Shiwei. Tue . "Ground-state properties of strongly interacting Fermi gases in two dimensions". United States. https://doi.org/10.1103/physreva.92.033603. https://www.osti.gov/servlets/purl/1565361.
@article{osti_1565361,
title = {Ground-state properties of strongly interacting Fermi gases in two dimensions},
author = {Shi, Hao and Chiesa, Simone and Zhang, Shiwei},
abstractNote = {Exact calculations are performed on the two-dimensional strongly interacting unpolarized uniform Fermi gas with a zero-range attractive interaction. Two auxiliary-field approaches are employed which accelerate the sampling of imaginary-time paths using BCS trial wave functions and a force bias technique. Their combination enables calculations on large enough lattices to reliably compute ground-state properties in the thermodynamic limit. An equation of state is obtained with a parametrization provided, which can serve as a benchmark and allow accurate comparisons with experiments. The pressure, contact parameter, and condensate fraction are determined systematically vs $k_Fa$ . The momentum distribution, pairing correlation, and the structure of the pair wave function are computed. The use of force bias to accelerate the Metropolis sampling of auxiliary fields in determinantal approaches is discussed.},
doi = {10.1103/physreva.92.033603},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 3,
volume = 92,
place = {United States},
year = {2015},
month = {9}
}

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Cited by: 32 works
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