Abstract

Fermi-surface-free superconductivity arises when the superconducting order pulls down spectral weight from a band that is completely above the Fermi energy in the normal state. We show that this can arise in hole-doped cuprates when a competing order causes a reconstruction of the Fermi surface. The change in Fermi surface topology is accompanied by a characteristic rise in the spectral weight. Our results support the presence of a trisected superconducting dome, and suggest that superconductivity is responsible for stabilizing the (π,π) magnetic order at higher doping.

Highlights

  • With this information, the question we ask is: Does this effect arise in the single-band case of the hole-doped cuprates when the band is split by magnetic order? To answer this question we take our inspiration from the change in Fermi surface (FS) topology of the electron-doped cuprates

  • Using quasi-particle GW (QP-GW)[16,17] self-energy corrections, we have shown that this model provides a reasonable description of many salient features of the electronic spectra of the cuprates as observed in ARPES18 and other spectroscopies[19,20]

  • This occurs near the doping at which the topology of the FS changes as an electron pocket appears in the antinodal region, similar to the case of electron doped cuprates[3,4]

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Summary

Introduction

The question we ask is: Does this effect arise in the single-band case of the hole-doped cuprates when the band is split by magnetic order? To answer this question we take our inspiration from the change in FS topology of the electron-doped cuprates. The LMB moves up in energy and eventually crosses the Fermi energy leading to the emergence of hole pockets around (π/2,π/2) This is the first topological transition (TT1) in this system. To preserve the analogy with TT1 in the electron doped cuprates[3,4], we use a (π,π)-AF model to investigate the emergence of electron pockets in Bi2201 and Bi221210, a resonant-valence-bond spin-liquid model[11] (YRZ) would yield similar results[8] Near this transition we find evidence for FS-free SC, consistent with many recent experiments[8,9,12,13,14] suggesting that FS-free SC in Bi2201 may be a general property of the cuprates

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