Direct connection between Mott insulators and d -wave high-temperature superconductors revealed by continuous evolution of self-energy poles

Shiro Sakai, Marcello Civelli, Masatoshi Imada

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The high-temperature superconductivity in copper oxides emerges when carriers are doped into the parent Mott insulator. This well-established fact has, however, eluded a microscopic explanation. Here we show that the missing link is the self-energy pole in the energy-momentum space. Its continuous evolution with doping directly connects the Mott insulator and high-temperature superconductivity. We show this by numerically studying the extremely small doping region close to the Mott insulating phase in a standard model for cuprates, the two-dimensional Hubbard model. We first identify two relevant self-energy structures in the Mott insulator: the pole generating the Mott gap and a relatively broad peak generating the so-called waterfall structure, which is another consequence of strong correlations present in the Mott insulator. We next reveal that either the Mott-gap pole or the waterfall structure (the feature at the energy closer to the Fermi level) directly transforms itself into another self-energy pole at the same energy and momentum when the system is doped with carriers. The anomalous self-energy yielding the superconductivity is simultaneously born exactly at this energy-momentum point. Thus created self-energy pole, interpreted as arising from a hidden fermionic excitation, continuously evolves upon further doping and considerably enhances the superconductivity. Above the critical temperature, the same self-energy pole generates a pseudogap in the normal state. We thus elucidate a unified Mott-physics mechanism, where the self-energy structure inherent to the Mott insulator directly gives birth to both the high critical superconducting temperature and pseudogap.

Original languageEnglish
Article number195109
JournalPhysical Review B
Volume98
Issue number19
DOIs
Publication statusPublished - 2018 Nov 7
Externally publishedYes

Fingerprint

High temperature superconductors
high temperature superconductors
Poles
poles
insulators
Superconductivity
Momentum
Doping (additives)
superconductivity
energy
Hubbard model
Temperature
Copper oxides
kinetic energy
Fermi level
Physics
copper oxides
two dimensional models
cuprates
critical temperature

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Direct connection between Mott insulators and d -wave high-temperature superconductors revealed by continuous evolution of self-energy poles. / Sakai, Shiro; Civelli, Marcello; Imada, Masatoshi.

In: Physical Review B, Vol. 98, No. 19, 195109, 07.11.2018.

Research output: Contribution to journalArticle

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