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Title: Gauge theory for the cuprates near optimal doping

Abstract

We describe the phase diagram of a 2+1-dimensional SU(2) gauge theory of fluctuating incommensurate spin density waves for the hole-doped cuprates. Our primary assumption is that all low-energy fermionic excitations are gauge neutral and electron-like, while the spin density wave order is fractionalized into Higgs fields transforming as adjoints of the gauge SU(2). The confining phase of the gauge theory is a conventional Fermi liquid with a large Fermi surface (and its associated d-wave superconductor). There is a quantum phase transition to a Higgs phase describing the “pseudogap” at lower doping. Depending on the quartic terms in the Higgs potential, the Higgs phase exhibits one or more of charge density wave, Ising-nematic, time-reversal odd scalar spin chirality, and Z2 topological orders. It is notable that the emergent broken symmetries in our theory of fluctuating spin density waves coincide with those observed in diverse experiments. For the electron-doped cuprates, the spin density wave fluctuations are at wave vector (π,π), and then the corresponding SU(2) gauge theory only has a crossover between the confining and Higgs regimes, with an exponentially large confinement scale deep in the Higgs regime. Here, on the Higgs side, for both the electron- and hole-doped cases, and atmore » scales shorter than the confinement scale (which can be infinite when Z2 topological order is present), the electron spectral function has a “fractionalized Fermi liquid” form with small Fermi surfaces. We also describe the deconfined quantum criticality of the Higgs transition in the limit of a large number of Higgs flavors, and perturbatively discuss its coupling to fermionic excitations.« less

Authors:
 [1];  [2];  [2];  [2]
  1. Harvard Univ., Cambridge, MA (United States); Perimeter Inst. for Theoretical Physics, Waterloo, ON (Canada)
  2. Harvard Univ., Cambridge, MA (United States)
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1610980
Alternate Identifier(s):
OSTI ID: 1496500
Grant/Contract Number:  
SC0007870; DMR-1664842; de-sc0007870
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 5; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Materials science; Physics; Gauge theories; Quantum criticality; Quantum phase transitions; Cuprates

Citation Formats

Sachdev, Subir, Scammell, Harley D., Scheurer, Mathias S., and Tarnopolsky, Grigory. Gauge theory for the cuprates near optimal doping. United States: N. p., 2019. Web. https://doi.org/10.1103/physrevb.99.054516.
Sachdev, Subir, Scammell, Harley D., Scheurer, Mathias S., & Tarnopolsky, Grigory. Gauge theory for the cuprates near optimal doping. United States. https://doi.org/10.1103/physrevb.99.054516
Sachdev, Subir, Scammell, Harley D., Scheurer, Mathias S., and Tarnopolsky, Grigory. Mon . "Gauge theory for the cuprates near optimal doping". United States. https://doi.org/10.1103/physrevb.99.054516. https://www.osti.gov/servlets/purl/1610980.
@article{osti_1610980,
title = {Gauge theory for the cuprates near optimal doping},
author = {Sachdev, Subir and Scammell, Harley D. and Scheurer, Mathias S. and Tarnopolsky, Grigory},
abstractNote = {We describe the phase diagram of a 2+1-dimensional SU(2) gauge theory of fluctuating incommensurate spin density waves for the hole-doped cuprates. Our primary assumption is that all low-energy fermionic excitations are gauge neutral and electron-like, while the spin density wave order is fractionalized into Higgs fields transforming as adjoints of the gauge SU(2). The confining phase of the gauge theory is a conventional Fermi liquid with a large Fermi surface (and its associated d-wave superconductor). There is a quantum phase transition to a Higgs phase describing the “pseudogap” at lower doping. Depending on the quartic terms in the Higgs potential, the Higgs phase exhibits one or more of charge density wave, Ising-nematic, time-reversal odd scalar spin chirality, and Z2 topological orders. It is notable that the emergent broken symmetries in our theory of fluctuating spin density waves coincide with those observed in diverse experiments. For the electron-doped cuprates, the spin density wave fluctuations are at wave vector (π,π), and then the corresponding SU(2) gauge theory only has a crossover between the confining and Higgs regimes, with an exponentially large confinement scale deep in the Higgs regime. Here, on the Higgs side, for both the electron- and hole-doped cases, and at scales shorter than the confinement scale (which can be infinite when Z2 topological order is present), the electron spectral function has a “fractionalized Fermi liquid” form with small Fermi surfaces. We also describe the deconfined quantum criticality of the Higgs transition in the limit of a large number of Higgs flavors, and perturbatively discuss its coupling to fermionic excitations.},
doi = {10.1103/physrevb.99.054516},
journal = {Physical Review B},
number = 5,
volume = 99,
place = {United States},
year = {2019},
month = {2}
}

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    Works referencing / citing this record:

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