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

Abstract

Hole-doped high-temperature cuprate superconductors below optimum doping have small electron-like Fermi surfaces occupying a small fraction of the Brillouin zone. There is strong evidence that this is linked to charge density wave (CDW) order, which reconstructs the large hole-like Fermi surfaces predicted by band structure calculations . Recent experiments have revealed the structure of the two CDW components in the benchmark bilayer material YBa${}_2$Cu${}_3$O${}_{7-x}$ in high field where quantum oscillation (QO) measurements are performed. We have combined these results with a tight-binding description of the bands in an isolated bilayer to give a minimal model revealing the essential physics of the situation. Here we show that this approach, combined with the effects of spin-orbit interactions and the pseudogap, gives a good qualitative description of the multiple frequencies seen in the QO observations in this material. Magnetic breakdown through weak CDW splitting of the bands will lead to a field-dependence of the QO spectrum and to the observed fourfold symmetry of the results in tilted fields.

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Cited by in corpus (16)

• Magnetic field controlled charge density wave coupling in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• 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
• Spin susceptibility of charge ordered YBa2Cu3Oy across the upper critical field
• Spatially Inhomogeneous Competition between Superconductivity and the Charge Density Wave in YBa${}_2$Cu${}_3$O${}_{6.67}$
• Quantum oscillations in a bilayer with broken mirror symmetry: a minimal model for YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• Extent of Fermi-surface reconstruction in the high-temperature superconductor HgBa${}_2$CuO${}_{4+\delta }$
• Magnetic oscillations measure interlayer coupling in cuprate superconductors
• Slow quantum oscillations without fine-grained Fermi Surface Reconstruction in Cuprate Superconductors
• Microscopic model for the hidden Rashba effect in YBa${}_2$Cu${}_3$O${}_{6+x}$
• The number of holes contained within the Fermi surface volume in underdoped high temperature superconductors
• Skyrmion-like textures in superconductors with competing order
• Angle-dependent magnetoresistance as a probe of Fermi surface warping in HgBa${}_2$CuO${}_{4+\delta }$
• The magnetic susceptibility of YBa${}_2$Cu${}_3$O${}_{6+x}$ crystals: unusual Curie behavior and small contributions from charge density waves
• Evidence for antiferromagnetism coexisting with charge order in the trilayer cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• Intrinsic Mechanism for Magneto-Thermal Conductivity Oscillations in Spin-Orbit-Coupled Nodal Superconductors