Roles of zeros of the Green function in Fermi arc and non-Fermi liquid in the two-dimensional Hubbard model

Shiro Sakai, Yukitoshi Motome, Masatoshi Imada

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

We clarify effects of zeros of the Green function on a Fermi arc and on a non-Fermi liquid behavior in the two-dimensional Hubbard model by means of the cellular dynamical mean-field theory (CDMFT). We study in detail the state with a hole-pocket Fermi surface and zeros of the Green function, which was found for a slightly doped Mott insulator in an earlier CDMFT calculation [T.D. Stanescu, G. Kotliar, Phys. Rev. B 74 (2006) 125110; T.D. Stanescu, M. Civelli, K. Haule, G. Kotliar, Ann. Phys. (N.Y.) 321 (2006) 1682]. As thermal or other extrinsic scatterings of electrons broaden the zeros, regions around the zero surface gain an imaginary part of the self-energy, which strongly suppresses the spectral intensity, especially on the closer side of the hole pocket to the zero surface. Then the rest emerges as a Fermi arc. Quasiparticle weight becomes ill defined on the closer side of the Fermi pocket while it is well defined on the opposite side, which means that a differentiation of electrons occurs in the momentum space, indicating an emergence of a non-Fermi liquid phase.

Original languageEnglish
Pages (from-to)3183-3186
Number of pages4
JournalPhysica B: Condensed Matter
Volume404
Issue number19
DOIs
Publication statusPublished - 2009 Oct 15
Externally publishedYes

Fingerprint

Hubbard model
Mean field theory
two dimensional models
Green's function
Green's functions
arcs
Fermi surface
Electrons
Liquids
liquids
Momentum
Scattering
Fermi surfaces
liquid phases
electrons
insulators
momentum
scattering
energy
Hot Temperature

Keywords

  • Cluster dynamical mean-field theory
  • Fermi arc
  • Zeros of the Green function

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Electronic, Optical and Magnetic Materials
  • Electrical and Electronic Engineering

Cite this

Roles of zeros of the Green function in Fermi arc and non-Fermi liquid in the two-dimensional Hubbard model. / Sakai, Shiro; Motome, Yukitoshi; Imada, Masatoshi.

In: Physica B: Condensed Matter, Vol. 404, No. 19, 15.10.2009, p. 3183-3186.

Research output: Contribution to journalArticle

Sakai, Shiro ; Motome, Yukitoshi ; Imada, Masatoshi. / Roles of zeros of the Green function in Fermi arc and non-Fermi liquid in the two-dimensional Hubbard model. In: Physica B: Condensed Matter. 2009 ; Vol. 404, No. 19. pp. 3183-3186.
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