Quantum oscillations in a bilayer with broken mirror symmetry: a minimal model for YBa${}_2$Cu${}_3$O${}_{6+\delta }$

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, $t_{\perp }$, is substantially renormalized from its `bare' value. Under the assumption that $t_{\perp }=\tilde{Z}{t}_{\perp }^{(0)}$, where $\tilde{Z}$ is a measure of the quasiparticle weight, this suggests that $\tilde{Z}\lesssim 1/20$. Detailed comparisons with new YBa${}_2$Cu${}_3$O${}_{6.58}$ QO data, taken over a very broad range of magnetic field, confirm specific predictions made by the breakdown scenario.

Some references added, minor typos corrected. 17 pages, 14 figures

References in corpus (23)

• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• A `checkerboard' electronic crystal state in lightly hole-doped Ca_{2-x}Na_{x}CuO_{2}Cl_{2}
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Distinct Charge Orders in the Planes and Chains of Ortho-III-Ordered YBa${}_2$Cu${}_3$O${}_{6+\delta }$ Superconductors Identified by Resonant Elastic X-ray Scattering
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Quasiparticle mass enhancement approaching optimal doping in a high-Tc superconductor
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
• Planes, Chains, and Orbits: Quantum Oscillations and High Magnetic Field Heat Capacity in Underdoped YBCO
• Quantum Oscillations in Hole-Doped Cuprates
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Connecting high-field quantum oscillations to zero-field electron spectral functions in the underdoped cuprates
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Density-wave instabilities of fractionalized Fermi liquids
• Evidence for a small hole pocket in the Fermi surface of underdoped YBa2Cu3Oy
• Fermi pockets and correlation effects in underdoped YBa2Cu3O6.5
• Higgs criticality in a two-dimensional metal
• Crisscrossed stripe order from interlayer tunneling in hole-doped cuprates
• Fermi Surface Reconstruction and Quantum Oscillations in Underdoped YBa${}_2$Cu${}_3$O${}_{7-x}$ Modeled in a Single Bilayer with Mirror Symmetry Broken by Charge Density Waves
• Are there quantum oscillations in an incommensurate charge density wave?
• Quantum oscillations in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ from an incommensurate $d$-density wave order

Cited by in corpus (14)

• Magnetic field controlled charge density wave coupling in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Ideal charge density wave order in the high-field state of superconducting YBCO
• Synchrotron x-ray scattering study of charge-density-wave order in HgBa${}_2$CuO${}_{4+\delta }$
• Single reconstructed Fermi surface pocket in an underdoped single layer cuprate superconductor
• Unusual interplay between superconductivity and field-induced charge order in YBa2Cu3Oy
• Quantum oscillations in a biaxial pair density wave state
• Fermi Surface Reconstruction and Quantum Oscillations in Underdoped YBa${}_2$Cu${}_3$O${}_{7-x}$ Modeled in a Single Bilayer with Mirror Symmetry Broken by Charge Density Waves
• Fermi surface reconstruction by a charge-density-wave with finite correlation length
• Extent of Fermi-surface reconstruction in the high-temperature superconductor HgBa${}_2$CuO${}_{4+\delta }$
• Microscopic model for the hidden Rashba effect in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Angle-dependent magnetoresistance as a probe of Fermi surface warping in HgBa${}_2$CuO${}_{4+\delta }$
• Evidence for antiferromagnetism coexisting with charge order in the trilayer cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Reply to Comment on "Magnetotransport signatures of a single nodal electron pocket constructed from Fermi arcs"
• Intrinsic Mechanism for Magneto-Thermal Conductivity Oscillations in Spin-Orbit-Coupled Nodal Superconductors