Excitonic Insulator State of the Extended Falicov–Kimball Model in the Cluster Dynamical Impurity Approximation

We comparatively study the excitonic insulator state in the extended Falicov-Kimball model (EFKM, a spinless two-band model) on the two-dimensional square lattice using the variational cluster approximation (VCA) and the cluster dynamical impurity approximation (CDIA). In the latter, the particle-ba...

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Veröffentlicht in:Journal of the Physical Society of Japan 2017-07, Vol.86 (7), p.74709
Hauptverfasser: Hamada, Kosuke, Kaneko, Tatsuya, Miyakoshi, Shohei, Ohta, Yukinori
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Kaneko, Tatsuya
Miyakoshi, Shohei
Ohta, Yukinori
description We comparatively study the excitonic insulator state in the extended Falicov-Kimball model (EFKM, a spinless two-band model) on the two-dimensional square lattice using the variational cluster approximation (VCA) and the cluster dynamical impurity approximation (CDIA). In the latter, the particle-bath sites are included in the reference cluster to take into account the particle-number fluctuations in the correlation sites. We thus calculate the particle-number distribution, order parameter, ground-state phase diagram, anomalous Green's function, and pair coherence length, thereby demonstrating the usefulness of the CDIA in the discussion of the excitonic condensation in the EFKM.
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subjects Approximation
Clusters
Coherence length
Comparative analysis
Condensation
Correlation analysis
Lattice theory
Mathematical analysis
Order parameters
Two dimensional models
title Excitonic Insulator State of the Extended Falicov–Kimball Model in the Cluster Dynamical Impurity Approximation
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