Ground state properties of graphene in Hartree-Fock theory

Christian Hainzl; Mathieu Lewin; Christof Sparber

doi:10.1063/1.4750049

Ground state properties of graphene in Hartree-Fock theory

Christian Hainzl, Mathieu Lewin, Christof Sparber

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

Abstract

We study the Hartree-Fock approximation of graphene in infinite volume, with instantaneous Coulomb interactions. First we construct its translation-invariant ground state and we recover the well-known fact that, due to the exchange term, the effective Fermi velocity is logarithmically divergent at zero momentum. In a second step we prove the existence of a ground state in the presence of local defects and we discuss some properties of the linear response to an external electric field. All our results are non-perturbative.

Original language	English
Article number	095220
Journal	Journal of Mathematical Physics
Volume	53
Issue number	9
DOIs	https://doi.org/10.1063/1.4750049
Publication status	Published - 28 Sept 2012
Externally published	Yes

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title = "Ground state properties of graphene in Hartree-Fock theory",

abstract = "We study the Hartree-Fock approximation of graphene in infinite volume, with instantaneous Coulomb interactions. First we construct its translation-invariant ground state and we recover the well-known fact that, due to the exchange term, the effective Fermi velocity is logarithmically divergent at zero momentum. In a second step we prove the existence of a ground state in the presence of local defects and we discuss some properties of the linear response to an external electric field. All our results are non-perturbative.",

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AU - Lewin, Mathieu

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N2 - We study the Hartree-Fock approximation of graphene in infinite volume, with instantaneous Coulomb interactions. First we construct its translation-invariant ground state and we recover the well-known fact that, due to the exchange term, the effective Fermi velocity is logarithmically divergent at zero momentum. In a second step we prove the existence of a ground state in the presence of local defects and we discuss some properties of the linear response to an external electric field. All our results are non-perturbative.

AB - We study the Hartree-Fock approximation of graphene in infinite volume, with instantaneous Coulomb interactions. First we construct its translation-invariant ground state and we recover the well-known fact that, due to the exchange term, the effective Fermi velocity is logarithmically divergent at zero momentum. In a second step we prove the existence of a ground state in the presence of local defects and we discuss some properties of the linear response to an external electric field. All our results are non-perturbative.

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DO - 10.1063/1.4750049

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VL - 53

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

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Ground state properties of graphene in Hartree-Fock theory

Abstract

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