Hidden-fermion representation of self-energy in pseudogap and superconducting states of the two-dimensional Hubbard model

Shiro Sakai, Marcello Civelli, and Masatoshi Imada
Phys. Rev. B 94, 115130 – Published 13 September 2016

Abstract

We study the frequency-dependent structure of electronic self-energy in the pseudogap and superconducting states of the two-dimensional Hubbard model. We present the self-energy calculated with the cellular dynamical mean-field theory systematically in the space of temperature, electron density, and interaction strength. We show that the low-frequency part of the self-energy is well represented by a simple equation, which describes the transitions of an electron to and from a hidden-fermionic state. By fitting the numerical data with this simple equation, we determine the parameters characterizing the hidden fermion and discuss its identity. The simple expression of the self-energy offers a way to organize numerical data of these uncomprehended superconducting and pseudogap states, as well as a useful tool to analyze spectroscopic experimental results. The successful description by the simple two-component fermion model supports the idea of “dark” and “bright” fermions emerging from a bare electron as bistable excitations in doped Mott insulators.

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  • Received 11 May 2016
  • Revised 12 July 2016

DOI:https://doi.org/10.1103/PhysRevB.94.115130

©2016 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Shiro Sakai1, Marcello Civelli2, and Masatoshi Imada3

  • 1Center for Emergent Matter Science, RIKEN, Wako, Saitama 351-0198, Japan
  • 2Laboratoire de Physique des Solides, CNRS UMR 8502, Univ. Paris-Sud, Université Paris-Saclay F-91405 Orsay Cedex, France
  • 3Department of Applied Physics, University of Tokyo, Hongo, Tokyo 113-8656, Japan

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Issue

Vol. 94, Iss. 11 — 15 September 2016

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