Continuous-time quantum Monte Carlo method for the Coqblin-Schrieffer model

Junya Otsuki, Hiroaki Kusunose, Philipp Werner, Yoshio Kuramoto

Research output: Contribution to journalArticle

56 Citations (Scopus)

Abstract

An impurity solver based on a continuous-time quantum Monte Carlo method is developed for the Coqblin-Schrieffer model. The Monte Carlo simulation does not encounter a sign problem for antiferromagnetic interactions, and accurately reproduces the Kondo effect. Our algorithm can deal with an arbitrary number N of local degrees of freedom, becomes more efficient for larger values of N, and is hence suitable for models with orbital degeneracy. The dynamical susceptibility and the impurity t-matrix are derived with the aid of the Padé approximation for various values of N, and good agreement is found with other methods and available exact results. We point out that the Korringa-Shiba relation needs correction for a finite value of the exchange interaction.

Original languageEnglish
Article number114707
JournalJournal of the Physical Society of Japan
Volume76
Issue number11
DOIs
Publication statusPublished - Nov 1 2007
Externally publishedYes

Fingerprint

Monte Carlo method
impurities
Kondo effect
encounters
degrees of freedom
interactions
magnetic permeability
orbitals
matrices
approximation
simulation

Keywords

  • Continuous-time quantum Monte Carlo method
  • Coqblin-Schrieffer model
  • Dynamical susceptibility
  • Kondo model
  • Korringa-Shiba relation
  • Padé approximation
  • t-matrix

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Continuous-time quantum Monte Carlo method for the Coqblin-Schrieffer model. / Otsuki, Junya; Kusunose, Hiroaki; Werner, Philipp; Kuramoto, Yoshio.

In: Journal of the Physical Society of Japan, Vol. 76, No. 11, 114707, 01.11.2007.

Research output: Contribution to journalArticle

Otsuki, Junya ; Kusunose, Hiroaki ; Werner, Philipp ; Kuramoto, Yoshio. / Continuous-time quantum Monte Carlo method for the Coqblin-Schrieffer model. In: Journal of the Physical Society of Japan. 2007 ; Vol. 76, No. 11.
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