Abstract
We study a two-dimensional two-component Fermi gas with attractive or repulsive short-range interactions at zero temperature. We use Diffusion Monte Carlo with Fixed Node approximation in order to calculate the energy per particle and the opposite spin pair distribution functions. We show the relevance of beyond mean field effects and verify the consistency of our approach by using Tan’s Contact relations.
Similar content being viewed by others
References
S. Giorgini, L.P. Pitaevskii, S. Stringari, Rev. Mod. Phys. 80, 1215 (2008)
I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)
K. Martiyanov, V. Makhalov, A. Turlapov, Phys. Rev. Lett. 105, 030404 (2010)
A. Orel, et al., New J. Phys. 13, 113032 (2011)
B. Fröhlich, et al., Phys. Rev. Lett. 106, 105301 (2011)
M. Feld, et al., Nature 480, 75 (2011)
A. Sommer, et al., Phys. Rev. Lett. 108, 045302 (2012)
M. Koschorreck, et al., Nature 485, 619 (2012)
K. Miyake, Prog. Theor. Phys. 69, 1794 (1983)
M. Randeria, J.-M. Duan, L.-Y. Shieh, Phys. Rev. Lett. 62, 981 (1989)
M. Randeria, J.-M. Duan, L.-Y. Shieh, Phys. Rev. B 41, 327 (1990)
G. Bertaina, S. Giorgini, Phys. Rev. Lett. 106, 110403 (2011)
M. Parish, Phys. Rev. A 83, 051603 (2011)
S. Zöllner, G. Bruun, C. Pethick, Phys. Rev. A 83, 021603 (2011)
M. Klawunn, A. Recati, Phys. Rev. A 84, 033607 (2011)
R. Schmidt, et al., Phys. Rev. A 85, 021602 (2012)
E. Vogt, et al., Phys. Rev. Lett. 108, 070404 (2012)
J. Hofmann, Phys. Rev. Lett. 108, 185303 (2012)
E. Taylor, M. Randeria, Phys. Rev. Lett. 109, 135301 (2012)
B. Fröhlich, et al., Phys. Rev. Lett. 109, 130403 (2012)
D.S. Petrov, M.A. Baranov, G.V. Shlyapnikov, Phys. Rev. A 67, 031601 (2003)
D.S. Petrov, G.V. Shlyapnikov, Phys. Rev. A 64, 012706 (2001)
A.J. Leggett, Modern Trends In The Theory Of Condensed Matter, Lecture Notes in Physics, vol. 115 (Springer-Verlag, Berlin, 1980), p. 13
J.P. Bouchaud, A. Georges, C. Lhuillier, J. Phys. (Paris) 49, 553 (1988)
P.J. Reynolds, et al., J. Chem. Phys. 77, 5593 (1982)
G.E. Astrakharchik, et al., Phys. Rev. Lett. 93, 200404 (2004)
S.-Y. Chang, et al., Phys. Rev. A 70, 043602 (2004)
G.E. Astrakharchik, et al., Phys. Rev. Lett. 95, 230405 (2005)
S. Pilati, et al., Phys. Rev. Lett. 105, 030405 (2010)
S.-Y. Chang, et al., Proc. Natl. Acad. Sci. 108, 51 (2011)
D.M. Ceperley, Phys. Rev. B 18, 3126 (1978)
D.M. Ceperley, B.J. Alder, Phys. Rev. B 36, 2092 (1987)
P. Bloom, Phys. Rev. B 12, 125 (1975)
J.R. Engelbrecht, M. Randeria, L. Zhang, Phys. Rev. B 45, 10135 (1992)
J.R. Engelbrecht, M. Randeria, Phys. Rev. B 45, 12419 (1992)
N. Drummond, et al., Phys. Rev. B 83, 195429 (2011)
G.E. Astrakharchik, et al., Phys. Rev. A 79, 051602 (2009)
C. Mora, Y. Castin, Phys. Rev. Lett. 102, 180404 (2009)
S.R. Beane, Phys. Rev. A 82, 063610 (2010)
S. Tan, Ann. Phys. 323, 2952 (2008)
S. Tan, Ann. Phys. 323, 2971 (2008)
F. Werner, Y. Castin, Phys. Rev. A 86, 013626 (2012)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bertaina, G. Two-dimensional short-range interacting attractive and repulsive Fermi gases at zero temperature. Eur. Phys. J. Spec. Top. 217, 153–162 (2013). https://doi.org/10.1140/epjst/e2013-01763-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1140/epjst/e2013-01763-9