Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor

Abstract We model the pseudogap state of the hole- and electron-doped cuprates as a metal with hole and/or electron pocket Fermi surfaces. In the absence of long-range antiferromagnetism, such Fermi surfaces violate the Luttinger requirement of enclosing the same area as free electrons at the same d...

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Main Authors: Maine Christos, Subir Sachdev
Format: Article
Language:English
Published: Nature Portfolio 2024-01-01
Series:npj Quantum Materials
Online Access:https://doi.org/10.1038/s41535-023-00608-0
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author Maine Christos
Subir Sachdev
author_facet Maine Christos
Subir Sachdev
author_sort Maine Christos
collection DOAJ
description Abstract We model the pseudogap state of the hole- and electron-doped cuprates as a metal with hole and/or electron pocket Fermi surfaces. In the absence of long-range antiferromagnetism, such Fermi surfaces violate the Luttinger requirement of enclosing the same area as free electrons at the same density. Using the Ancilla theory of such a pseudogap state, we describe the onset of conventional d-wave superconductivity by the condensation of a charge e Higgs boson transforming as a fundamental under the emergent SU(2) gauge symmetry of a background π-flux spin liquid. In all cases, we find that the d-wave superconductor has gapless Bogoliubov quasiparticles at 4 nodal points on the Brillouin zone diagonals with significant velocity anisotropy, just as in the BCS state. This includes the case of the electron-doped pseudogap metal with only electron pockets centered at wavevectors (π, 0), (0, π), and an electronic gap along the zone diagonals. Remarkably, in this case, too, gapless nodal Bogoliubov quasiparticles emerge within the gap at 4 points along the zone diagonals upon the onset of superconductivity.
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spelling doaj-art-3cd418b6c2954c8f93f42284b1a683fb2025-08-20T03:09:35ZengNature Portfolionpj Quantum Materials2397-46482024-01-019111010.1038/s41535-023-00608-0Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductorMaine Christos0Subir Sachdev1Department of Physics, Harvard UniversityDepartment of Physics, Harvard UniversityAbstract We model the pseudogap state of the hole- and electron-doped cuprates as a metal with hole and/or electron pocket Fermi surfaces. In the absence of long-range antiferromagnetism, such Fermi surfaces violate the Luttinger requirement of enclosing the same area as free electrons at the same density. Using the Ancilla theory of such a pseudogap state, we describe the onset of conventional d-wave superconductivity by the condensation of a charge e Higgs boson transforming as a fundamental under the emergent SU(2) gauge symmetry of a background π-flux spin liquid. In all cases, we find that the d-wave superconductor has gapless Bogoliubov quasiparticles at 4 nodal points on the Brillouin zone diagonals with significant velocity anisotropy, just as in the BCS state. This includes the case of the electron-doped pseudogap metal with only electron pockets centered at wavevectors (π, 0), (0, π), and an electronic gap along the zone diagonals. Remarkably, in this case, too, gapless nodal Bogoliubov quasiparticles emerge within the gap at 4 points along the zone diagonals upon the onset of superconductivity.https://doi.org/10.1038/s41535-023-00608-0
spellingShingle Maine Christos
Subir Sachdev
Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
npj Quantum Materials
title Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
title_full Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
title_fullStr Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
title_full_unstemmed Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
title_short Emergence of nodal Bogoliubov quasiparticles across the transition from the pseudogap metal to the d-wave superconductor
title_sort emergence of nodal bogoliubov quasiparticles across the transition from the pseudogap metal to the d wave superconductor
url https://doi.org/10.1038/s41535-023-00608-0
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AT subirsachdev emergenceofnodalbogoliubovquasiparticlesacrossthetransitionfromthepseudogapmetaltothedwavesuperconductor