One-dimensional Hubbard-Holstein model with finite-range electron-phonon coupling

Hébert, Frederic; Xiao, Bo; Rousseau, V. G.; Scalettar, R. T.; Batrouni, G. G.

doi:10.1103/physrevb.99.075108

One-dimensional Hubbard-Holstein model with finite-range electron-phonon coupling

Journal Article · Tue Feb 05 23:00:00 EST 2019 · Physical Review B

DOI:https://doi.org/10.1103/physrevb.99.075108· OSTI ID:1612258

Hébert, Frederic ^[1]; Xiao, Bo ^[2]; Rousseau, V. G. ^[3]; Scalettar, R. T. ^[2]; Batrouni, G. G. ^[4]

Univ. Côte d'Azur (France); DOE/OSTI
Univ. of California, Davis, CA (United States)
Loyola Univ. New Orleans, LA (United States)
Univ. Côte d'Azur (France); CNRS-UNS-NUS-NTU International Joint Research Unit (Singapore); National Univ. of Singapore (Singapore); Beijing Computational Science Research Center (China)

The Hubbard-Holstein model describes fermions on a discrete lattice, with on-site repulsion between fermions and a coupling to phonons that are localized on sites. Generally, at half-filling, increasing the coupling g to the phonons drives the system towards a Peierls charge density wave state, whereas increasing the electron-electron interaction U drives the fermions into a Mott antiferromagnet. At low g and U, or when doped, the system is metallic. In one dimension, using quantum Monte Carlo simulations, we study the case where fermions have a long-range coupling to phonons, with characteristic range ξ, interpolating between the Holstein and Fröhlich limits. Without electron-electron interaction, the fermions adopt a Peierls state when the coupling to the phonons is strong enough. This state is destabilized by a small coupling range ξ and leads to a collapse of the fermions, and, consequently, phase separation. Increasing interaction U will drive any of these three phases (metallic, Peierls, phase separation) into a Mott insulator phase. Furthermore, the phase separation region is once again present in the U ≠ 0 case, even for small values of the coupling range.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0014671

OSTI ID:: 1612258

Alternate ID(s):: OSTI ID: 1493648

Journal Information:: Physical Review B, Journal Name: Physical Review B Journal Issue: 7 Vol. 99; ISSN 2469-9950

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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