Multiple quantum oscillation frequencies in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ and bilayer splitting

Abstract

Experiments have revealed multiple quantum oscillation frequencies in underdoped high temperature superconductor $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$, corresponding to approximately 10% doping, which contain $\mathrm{CuO}$ bilayers in the unit cell. These unit cells are further coupled along the c-axis by a tunneling matrix element. A model of the energy dispersion that has its roots in the previously determined electronic structure, combined with two-fold commensurate density waves, reveals multiple electron and hole pockets. To the extent that quasiparticles of the reconstructed Fermi surface have finite residues, however small, the formation of Landau levels are the cause of these oscillations and the bilayer splitting and warping of the electronic dispersion along the direction perpendicular to the CuO-planes are firm consequences. We explore this possibility in detail and find overall consistency with experiments. An important conclusion is that bilayer splitting is severely renormalized from the value obtained from band structure calculations. It would be extremely interesting to perform these experiments for higher values of doping. We roughly expect the splitting of the frequencies to increase with doping, but the full picture may be more complex because the density wave order parameter is also expected to decrease with doping, vanishing around the middle of the superconducting dome.

26 pages, 16 figures, expanded to contain oscillation amplitudes for magnetization and specific heat

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Cited by in corpus (15)

• Loss of nodal quasiparticle integrity in underdoped YBa2Cu3O6+x
• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Quantum oscillations from nodal bilayer magnetic breakdown in the underdoped high temperature superconductor YBa2Cu3O6+x
• Fermi surface reconstruction from bilayer charge ordering in the underdoped high temperature superconductor YBa2Cu3O6+x
• Effect of interlayer processes on the superconducting state within t-J-U model: Full Gutzwiller wave-function solution and relation to experiment
• 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
• Quantum oscillation signatures of nodal spin-orbit coupling in underdoped bilayer high Tc cuprates
• Quantum oscillations in a bilayer with broken mirror symmetry: a minimal model for YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• Magnetic oscillations measure interlayer coupling in cuprate superconductors
• Bilayer splitting versus Fermi-surface warping as an origin of slow oscillations of in-plane magnetoresistance in rare-earth tritellurides
• Singlet versus triplet particle-hole condensates in quantum oscillations in cuprates
• Slow quantum oscillations without fine-grained Fermi Surface Reconstruction in Cuprate Superconductors
• Quantum Oscillation as Diagnostics of Pseudogap State in Underdoped Cuprates
• Anomalous quantum oscillations from boson-mediated interband scattering
• Slow Oscillations of the Transverse Magnetoresistance in HoTe3