Dual-fermion approach to the Anderson-Hubbard model

Haase, P.; Yang, S. -X.; Pruschke, T.; Moreno, J.; Jarrell, M.

doi:10.1103/physrevb.95.045130

Dual-fermion approach to the Anderson-Hubbard model

Journal Article · Wed Jan 18 00:00:00 EST 2017 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.95.045130· OSTI ID:1535839

Haase, P. ^[1]; Yang, S. -X. ^[2]; Pruschke, T. ^[3]; Moreno, J. ^[2]; Jarrell, M. ^[2]

Univ. of Gottingen (Germany); DOE/OSTI
Louisiana State Univ., Baton Rouge, LA (United States); Louisiana State Univ., Baton Rouge, LA (United States). Center for Computation and Technology
Univ. of Gottingen (Germany)

In this work, we apply the recently developed dual-fermion algorithm for disordered interacting systems to the Anderson-Hubbard model. This algorithm is compared with dynamical cluster approximation calculations for a one-dimensional system to establish the quality of the approximation in comparison with an established cluster method. We continue with a three-dimensional (3D) system and look at the antiferromagnetic, Mott, and Anderson localization transitions. The dual-fermion approach leads to quantitative as well as qualitative improvement of the dynamical mean-field results, and it allows one to calculate the hysteresis in the double occupancy in 3D, taking into account nonlocal correlations.

View Accepted Manuscript (DOE)

Research Organization:: Louisiana State Univ., Baton Rouge, LA (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0005274

OSTI ID:: 1535839

Alternate ID(s):: OSTI ID: 1339771

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 4 Vol. 95; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (2)

Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory Rohringer, G.; Hafermann, H.; Toschi, A. Reviews of Modern Physics, Vol. 90, Issue 2 https://doi.org/10.1103/revmodphys.90.025003	journal	May 2018
Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory Rohringer, G.; Hafermann, H.; Toschi, A. arXiv https://doi.org/10.48550/arxiv.1705.00024	text	January 2017

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36 MATERIALS SCIENCE
Anderson localization
Hubbard model
dynamical mean field theory
mean-field & cluster methods

Dual-fermion approach to the Anderson-Hubbard model

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