Transformation of the superconducting gap to an insulating pseudogap at a critical hole density in the cuprates

Ye-Hua Liu, Wan-Sheng Wang, Qiang-Hua Wang, Fu-Chun Zhang, and T. M. Rice
Phys. Rev. B 96, 014522 – Published 27 July 2017

Abstract

We apply the recent wave-packet formalism developed by Ossadnik to describe the origin of the short-range ordered pseudogap state as the hole doping is lowered through a critical density in cuprates. We argue that the energy gain that drives this precursor state to Mott localization, follows from maximizing umklapp scattering near the Fermi energy. To this end, we show how energy gaps driven by umklapp scattering can open on an appropriately chosen surface, as proposed earlier by Yang, Rice, and Zhang. The key feature is that the pairing instability includes umklapp scattering, leading to an energy gap not only in the single-particle spectrum but also in the pair spectrum. As a result the superconducting gap at overdoping is turned into an insulating pseudogap in the antinodal parts of the Fermi surface.

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  • Received 21 March 2017
  • Revised 16 May 2017

DOI:https://doi.org/10.1103/PhysRevB.96.014522

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Ye-Hua Liu1, Wan-Sheng Wang2,3, Qiang-Hua Wang2,4, Fu-Chun Zhang4,5, and T. M. Rice1,6

  • 1Theoretische Physik, ETH Zurich, 8093 Zurich, Switzerland
  • 2National Laboratory of Solid State Microstructures & School of Physics, Nanjing University, Nanjing, 210093, China
  • 3Department of Physics, Ningbo University, Ningbo 315211, China
  • 4Collaborative Innovation Center of Advanced Microstructures, Nanjing 210093, China
  • 5Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China
  • 6Condensed Matter Physics and Material Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA

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Issue

Vol. 96, Iss. 1 — 1 July 2017

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