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Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions

Jonas Vlietinck, Jan Ryckebusch UGent and Kris Van Houcke UGent (2014) PHYSICAL REVIEW B. 89(8).
abstract
We study the properties of the two-dimensional Fermi polaron model in which an impurity attractively interacts with a Fermi sea of particles in the zero-range limit. We use a diagrammatic Monte Carlo (DiagMC) method which allows us to sample a Feynman diagrammatic series to very high order. The convergence properties of the series and the role of multiple particle-hole excitations are discussed. We study the polaron and molecule energy as a function of the coupling strength, revealing a transition from a polaron to a molecule in the ground state. We find a value for the critical interaction strength which complies with the experimentally measured one and predictions from variational methods. For all considered interaction strengths, the polaron Z factor from the full diagrammatic series almost coincides with the one-particle-hole result. We also formally link the DiagMC and the variational approaches for the polaron problem at hand.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
GASES
journal title
PHYSICAL REVIEW B
Phys. Rev. B
volume
89
issue
8
article number
085119
pages
6 pages
Web of Science type
Article
Web of Science id
000332397700002
JCR category
PHYSICS, CONDENSED MATTER
JCR impact factor
3.736 (2014)
JCR rank
14/67 (2014)
JCR quartile
1 (2014)
ISSN
1098-0121
DOI
10.1103/PhysRevB.89.085119
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
4298474
handle
http://hdl.handle.net/1854/LU-4298474
alternative location
http://arxiv.org/pdf/1402.4015.pdf
date created
2014-02-21 14:18:15
date last changed
2016-12-21 15:42:11
@article{4298474,
  abstract     = {We study the properties of the two-dimensional Fermi polaron model in which an impurity attractively interacts with a Fermi sea of particles in the zero-range limit. We use a diagrammatic Monte Carlo (DiagMC) method which allows us to sample a Feynman diagrammatic series to very high order. The convergence properties of the series and the role of multiple particle-hole excitations are discussed. We study the polaron and molecule energy as a function of the coupling strength, revealing a transition from a polaron to a molecule in the ground state. We find a value for the critical interaction strength which complies with the experimentally measured one and predictions from variational methods. For all considered interaction strengths, the polaron Z factor from the full diagrammatic series almost coincides with the one-particle-hole result. We also formally link the DiagMC and the variational approaches for the polaron problem at hand.},
  articleno    = {085119},
  author       = {Vlietinck, Jonas and Ryckebusch, Jan and Van Houcke, Kris},
  issn         = {1098-0121},
  journal      = {PHYSICAL REVIEW B},
  keyword      = {GASES},
  language     = {eng},
  number       = {8},
  pages        = {6},
  title        = {Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions},
  url          = {http://dx.doi.org/10.1103/PhysRevB.89.085119},
  volume       = {89},
  year         = {2014},
}

Chicago
Vlietinck, Jonas, Jan Ryckebusch, and Kris Van Houcke. 2014. “Diagrammatic Monte Carlo Study of the Fermi Polaron in Two Dimensions.” Physical Review B 89 (8).
APA
Vlietinck, J., Ryckebusch, J., & Van Houcke, K. (2014). Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions. PHYSICAL REVIEW B, 89(8).
Vancouver
1.
Vlietinck J, Ryckebusch J, Van Houcke K. Diagrammatic Monte Carlo study of the Fermi polaron in two dimensions. PHYSICAL REVIEW B. 2014;89(8).
MLA
Vlietinck, Jonas, Jan Ryckebusch, and Kris Van Houcke. “Diagrammatic Monte Carlo Study of the Fermi Polaron in Two Dimensions.” PHYSICAL REVIEW B 89.8 (2014): n. pag. Print.