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Solution of the sign problem for the half-filled Hubbard-Holstein model

Seher Karakuzu, Kazuhiro Seki, and Sandro Sorella
Phys. Rev. B 98, 201108(R) – Published 14 November 2018

Abstract

We show that, by an appropriate choice of auxiliary fields and exact integration of the phonon degrees of freedom, it is possible to define a “sign-free” path integral for the so-called Hubbard-Holstein model at half filling. We use a statistical method, based on an accelerated and efficient Langevin dynamics, for evaluating all relevant correlation functions of the model. Preliminary calculations at U/t=4 and U/t=1, for ω0/t=1, indicate a region around Ug2ω0 without either antiferromagnetic or charge-density-wave orders that is much wider compared to previous approximate calculations. The elimination of the sign problem in a model without explicit particle-hole symmetry may open different perspectives for strongly correlated models, even away from the purely attractive or particle-hole symmetric cases.

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  • Received 24 August 2018
  • Revised 26 October 2018

DOI:https://doi.org/10.1103/PhysRevB.98.201108

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Seher Karakuzu1, Kazuhiro Seki1,2,3, and Sandro Sorella1,2

  • 1International School for Advanced Studies (SISSA), Via Bonomea 265, 34136 Trieste, Italy
  • 2Computational Materials Science Research Team, RIKEN Center for Computational Science (R-CCS), Hyogo 650-0047, Japan
  • 3Computational Condensed Matter Physics Laboratory, RIKEN Cluster for Pioneering Research (CPR), Saitama 351-0198, Japan

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Issue

Vol. 98, Iss. 20 — 15 November 2018

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