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

N1 - Funding Information:
We acknowledge valuable comments by Y.Z. Zhang, S. Watanabe, and Y. Yanase. We also thank G. Sangiovanni, T. Misawa, H. Shinaoka, Y. Yamaji, and D. Tahara for fruitful discussions. This work is supported by a Grant-in-Aid for Scientific Research on Priority Areas “Physics of Superclean Materials” from MEXT, Japan.

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

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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 -