### 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 language | English |
---|---|

Pages (from-to) | 3183-3186 |

Number of pages | 4 |

Journal | Physica B: Condensed Matter |

Volume | 404 |

Issue number | 19 |

DOIs | |

Publication status | Published - 2009 Oct 15 |

Externally published | Yes |

### Fingerprint

### 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

*Physica B: Condensed Matter*,

*404*(19), 3183-3186. https://doi.org/10.1016/j.physb.2009.07.050

**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.

Research output: Contribution to journal › Article

*Physica B: Condensed Matter*, vol. 404, no. 19, pp. 3183-3186. https://doi.org/10.1016/j.physb.2009.07.050

}

TY - JOUR

T1 - Roles of zeros of the Green function in Fermi arc and non-Fermi liquid in the two-dimensional Hubbard model

AU - Sakai, Shiro

AU - Motome, Yukitoshi

AU - Imada, Masatoshi

PY - 2009/10/15

Y1 - 2009/10/15

N2 - 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.

AB - 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.

KW - Cluster dynamical mean-field theory

KW - Fermi arc

KW - Zeros of the Green function

UR - http://www.scopus.com/inward/record.url?scp=70349137095&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349137095&partnerID=8YFLogxK

U2 - 10.1016/j.physb.2009.07.050

DO - 10.1016/j.physb.2009.07.050

M3 - Article

AN - SCOPUS:70349137095

VL - 404

SP - 3183

EP - 3186

JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

SN - 0921-4526

IS - 19

ER -