Dynamical mean-field theory of Holstein model at half filling: Phonon frequency dependence of metal-insulator transition

Jae Hyun Yun; Hee Soo Kang; Gun Sang Jeon; Han Yong Choi

doi:10.1016/j.jmmm.2006.10.880

Dynamical mean-field theory of Holstein model at half filling: Phonon frequency dependence of metal-insulator transition

Jae Hyun Yun, Hee Soo Kang, Gun Sang Jeon, Han Yong Choi

Department of Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We study the interaction induced zero temperature metal-insulator transition of the Holstein model at half-filling employing the dynamical mean-field theory in combination with Wilson's numerical renormalization group. We calculate the transitions between the insulating and metallic states as coupling constant g and the bare phonon frequency ω₀ are varied. For the electron-phonon coupling g smaller than the critical value g_{c 1} the ground state is a metallic state, and for g > g_{c 2} it is the bipolaron insulating state. Between g_{c 1} < g < g_{c 2} the metallic and insulating solutions coexist. The dependence of g_{c 1} and g_{c 2} on ω₀ are computed. The numerical results may be understood in terms of the metal-insulator transition of repulsive Hubbard model and the band narrowing of small polaron physics.

Original language	English
Pages (from-to)	916-918
Number of pages	3
Journal	Journal of Magnetism and Magnetic Materials
Volume	310
Issue number	2 SUPPL. PART 1
DOIs	https://doi.org/10.1016/j.jmmm.2006.10.880
State	Published - Mar 2007

Bibliographical note

Funding Information:
This work was supported by Korea Research Foundation through Grant No. KRF-2005-070-C00044.

Keywords

Dynamical mean-field theory
Holstein model
Metal-insulator transition
Numerical renormalization group

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10.1016/j.jmmm.2006.10.880

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title = "Dynamical mean-field theory of Holstein model at half filling: Phonon frequency dependence of metal-insulator transition",

abstract = "We study the interaction induced zero temperature metal-insulator transition of the Holstein model at half-filling employing the dynamical mean-field theory in combination with Wilson's numerical renormalization group. We calculate the transitions between the insulating and metallic states as coupling constant g and the bare phonon frequency ω0 are varied. For the electron-phonon coupling g smaller than the critical value gc 1 the ground state is a metallic state, and for g > gc 2 it is the bipolaron insulating state. Between gc 1 < g < gc 2 the metallic and insulating solutions coexist. The dependence of gc 1 and gc 2 on ω0 are computed. The numerical results may be understood in terms of the metal-insulator transition of repulsive Hubbard model and the band narrowing of small polaron physics.",

keywords = "Dynamical mean-field theory, Holstein model, Metal-insulator transition, Numerical renormalization group",

author = "Yun, {Jae Hyun} and {Soo Kang}, Hee and {Sang Jeon}, Gun and Choi, {Han Yong}",

note = "Funding Information: This work was supported by Korea Research Foundation through Grant No. KRF-2005-070-C00044. ",

year = "2007",

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doi = "10.1016/j.jmmm.2006.10.880",

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T1 - Dynamical mean-field theory of Holstein model at half filling

T2 - Phonon frequency dependence of metal-insulator transition

AU - Yun, Jae Hyun

AU - Soo Kang, Hee

AU - Sang Jeon, Gun

AU - Choi, Han Yong

N1 - Funding Information: This work was supported by Korea Research Foundation through Grant No. KRF-2005-070-C00044.

PY - 2007/3

Y1 - 2007/3

N2 - We study the interaction induced zero temperature metal-insulator transition of the Holstein model at half-filling employing the dynamical mean-field theory in combination with Wilson's numerical renormalization group. We calculate the transitions between the insulating and metallic states as coupling constant g and the bare phonon frequency ω0 are varied. For the electron-phonon coupling g smaller than the critical value gc 1 the ground state is a metallic state, and for g > gc 2 it is the bipolaron insulating state. Between gc 1 < g < gc 2 the metallic and insulating solutions coexist. The dependence of gc 1 and gc 2 on ω0 are computed. The numerical results may be understood in terms of the metal-insulator transition of repulsive Hubbard model and the band narrowing of small polaron physics.

AB - We study the interaction induced zero temperature metal-insulator transition of the Holstein model at half-filling employing the dynamical mean-field theory in combination with Wilson's numerical renormalization group. We calculate the transitions between the insulating and metallic states as coupling constant g and the bare phonon frequency ω0 are varied. For the electron-phonon coupling g smaller than the critical value gc 1 the ground state is a metallic state, and for g > gc 2 it is the bipolaron insulating state. Between gc 1 < g < gc 2 the metallic and insulating solutions coexist. The dependence of gc 1 and gc 2 on ω0 are computed. The numerical results may be understood in terms of the metal-insulator transition of repulsive Hubbard model and the band narrowing of small polaron physics.

KW - Dynamical mean-field theory

KW - Holstein model

KW - Metal-insulator transition

KW - Numerical renormalization group

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VL - 310

SP - 916

EP - 918

JO - Journal of Magnetism and Magnetic Materials

JF - Journal of Magnetism and Magnetic Materials

IS - 2 SUPPL. PART 1

ER -

Dynamical mean-field theory of Holstein model at half filling: Phonon frequency dependence of metal-insulator transition

Abstract

Bibliographical note

Keywords

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