### 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.

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

Article number | 115130 |

Journal | Physical Review B |

Volume | 94 |

Issue number | 11 |

DOIs | |

Publication status | Published - 2016 Sep 13 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physical Review B*,

*94*(11), [115130]. https://doi.org/10.1103/PhysRevB.94.115130

**Hidden-fermion representation of self-energy in pseudogap and superconducting states of the two-dimensional Hubbard model.** / Sakai, Shiro; Civelli, Marcello; Imada, Masatoshi.

Research output: Contribution to journal › Article

*Physical Review B*, vol. 94, no. 11, 115130. https://doi.org/10.1103/PhysRevB.94.115130

}

TY - JOUR

T1 - Hidden-fermion representation of self-energy in pseudogap and superconducting states of the two-dimensional Hubbard model

AU - Sakai, Shiro

AU - Civelli, Marcello

AU - Imada, Masatoshi

PY - 2016/9/13

Y1 - 2016/9/13

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84990898409&partnerID=8YFLogxK

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U2 - 10.1103/PhysRevB.94.115130

DO - 10.1103/PhysRevB.94.115130

M3 - Article

VL - 94

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 2469-9950

IS - 11

M1 - 115130

ER -