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Title: Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa 2 Cu 3 O 6 + δ

Abstract

Using an exact numerical solution and semiclassical analysis, we investigate quantum oscillations (QOs) in a model of a bilayer system with an anisotropic (elliptical) electron pocket in each plane. Key features of QO experiments in the high temperature superconducting cuprate YBCO can be reproduced by such a model, in particular the pattern of oscillation frequencies (which reflect “magnetic breakdown” between the two pockets) and the polar and azimuthal angular dependence of the oscillation amplitudes. However, the requisite magnetic breakdown is possible only under the assumption that the horizontal mirror plane symmetry is spontaneously broken and that the bilayer tunneling t is substantially renormalized from its ‘bare’ value. Lastly, under the assumption that t = $$\sim\atop{Z}_t$$ $$(0)\atop{⊥}$$, where $$\sim\atop{Z}$$ is a measure of the quasiparticle weight, this suggests that $$\sim\atop{Z}$$ ≲ 1/20. Detailed comparisons with new YBa 2Cu 3O 6.58 QO data, taken over a very broad range of magnetic field, confirm specific predictions made by the breakdown scenario.

Authors:
 [1];  [1];  [2];  [1]
  1. Stanford Univ., CA (United States). Dept. of Physics
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22); National Science Foundation (NSF)
OSTI Identifier:
1415372
Alternate Identifier(s):
OSTI ID: 1239859
Report Number(s):
LA-UR-17-22126
Journal ID: ISSN 2469-9950; PRBMDO; TRN: US1800774
Grant/Contract Number:  
AC52-06NA25396; AC02-76SF00515; DMR 1265593
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 93; Journal Issue: 9; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Material Science; Cuprates; Superconductors; Quantum oscillation techniques

Citation Formats

Maharaj, Akash V., Zhang, Yi, Ramshaw, B. J., and Kivelson, S. A. Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa2Cu3O6+δ. United States: N. p., 2016. Web. doi:10.1103/PhysRevB.93.094503.
Maharaj, Akash V., Zhang, Yi, Ramshaw, B. J., & Kivelson, S. A. Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa2Cu3O6+δ. United States. doi:10.1103/PhysRevB.93.094503.
Maharaj, Akash V., Zhang, Yi, Ramshaw, B. J., and Kivelson, S. A. Tue . "Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa2Cu3O6+δ". United States. doi:10.1103/PhysRevB.93.094503. https://www.osti.gov/servlets/purl/1415372.
@article{osti_1415372,
title = {Quantum oscillations in a bilayer with broken mirror symmetry: A minimal model for YBa2Cu3O6+δ},
author = {Maharaj, Akash V. and Zhang, Yi and Ramshaw, B. J. and Kivelson, S. A.},
abstractNote = {Using an exact numerical solution and semiclassical analysis, we investigate quantum oscillations (QOs) in a model of a bilayer system with an anisotropic (elliptical) electron pocket in each plane. Key features of QO experiments in the high temperature superconducting cuprate YBCO can be reproduced by such a model, in particular the pattern of oscillation frequencies (which reflect “magnetic breakdown” between the two pockets) and the polar and azimuthal angular dependence of the oscillation amplitudes. However, the requisite magnetic breakdown is possible only under the assumption that the horizontal mirror plane symmetry is spontaneously broken and that the bilayer tunneling t⊥ is substantially renormalized from its ‘bare’ value. Lastly, under the assumption that t⊥ = $\sim\atop{Z}_t$ $(0)\atop{⊥}$, where $\sim\atop{Z}$ is a measure of the quasiparticle weight, this suggests that $\sim\atop{Z}$ ≲ 1/20. Detailed comparisons with new YBa2Cu3O6.58 QO data, taken over a very broad range of magnetic field, confirm specific predictions made by the breakdown scenario.},
doi = {10.1103/PhysRevB.93.094503},
journal = {Physical Review B},
number = 9,
volume = 93,
place = {United States},
year = {2016},
month = {3}
}

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