### Abstract

Marginal Fermi-liquid theory proposed by Varma et al. is based on an assumption concerning the imaginary part of the polarization propagator. We investigate the consequence of this assumption paying full respect to the Ward-Takahashi identity, and find that the vertex corrections are of vital importance. We confirm the validity of the marginal Fermi-liquid picture at high energy scale, where only the lowest order logarithmic correction is important. However, our result at the low-energy region is radically different from the marginal Fermi liquid theory, in the sense that the quasi-particle mass, strength of its pole, and the jump in the momentum distribution all remain finite at the Fermi level. This means that the Varma et al. assumption does not break the Fermi-liquid picture, as far as the low-energy excitations are concerned.

Original language | English |
---|---|

Pages (from-to) | 230-236 |

Number of pages | 7 |

Journal | Physica C: Superconductivity and its Applications |

Volume | 192 |

Issue number | 1-2 |

DOIs | |

Publication status | Published - 1992 Mar 1 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Condensed Matter Physics

### Cite this

*Physica C: Superconductivity and its Applications*,

*192*(1-2), 230-236. https://doi.org/10.1016/0921-4534(92)90765-5

**Marginal Fermi-liquid theory and renormalization effects.** / Mitani, Nobuhiro; Kurihara, Susumu.

Research output: Contribution to journal › Article

*Physica C: Superconductivity and its Applications*, vol. 192, no. 1-2, pp. 230-236. https://doi.org/10.1016/0921-4534(92)90765-5

}

TY - JOUR

T1 - Marginal Fermi-liquid theory and renormalization effects

AU - Mitani, Nobuhiro

AU - Kurihara, Susumu

PY - 1992/3/1

Y1 - 1992/3/1

N2 - Marginal Fermi-liquid theory proposed by Varma et al. is based on an assumption concerning the imaginary part of the polarization propagator. We investigate the consequence of this assumption paying full respect to the Ward-Takahashi identity, and find that the vertex corrections are of vital importance. We confirm the validity of the marginal Fermi-liquid picture at high energy scale, where only the lowest order logarithmic correction is important. However, our result at the low-energy region is radically different from the marginal Fermi liquid theory, in the sense that the quasi-particle mass, strength of its pole, and the jump in the momentum distribution all remain finite at the Fermi level. This means that the Varma et al. assumption does not break the Fermi-liquid picture, as far as the low-energy excitations are concerned.

AB - Marginal Fermi-liquid theory proposed by Varma et al. is based on an assumption concerning the imaginary part of the polarization propagator. We investigate the consequence of this assumption paying full respect to the Ward-Takahashi identity, and find that the vertex corrections are of vital importance. We confirm the validity of the marginal Fermi-liquid picture at high energy scale, where only the lowest order logarithmic correction is important. However, our result at the low-energy region is radically different from the marginal Fermi liquid theory, in the sense that the quasi-particle mass, strength of its pole, and the jump in the momentum distribution all remain finite at the Fermi level. This means that the Varma et al. assumption does not break the Fermi-liquid picture, as far as the low-energy excitations are concerned.

UR - http://www.scopus.com/inward/record.url?scp=44049122199&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44049122199&partnerID=8YFLogxK

U2 - 10.1016/0921-4534(92)90765-5

DO - 10.1016/0921-4534(92)90765-5

M3 - Article

AN - SCOPUS:44049122199

VL - 192

SP - 230

EP - 236

JO - Physica C: Superconductivity and its Applications

JF - Physica C: Superconductivity and its Applications

SN - 0921-4534

IS - 1-2

ER -