Quantum oscillations in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ from an incommensurate $d$-density wave order

Abstract

We consider quantum oscillation experiments in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ from the perspective of an incommensurate Fermi surface reconstruction using an exact transfer matrix method and the Pichard-Landauer formula for the conductivity. The specific density wave order considered is a period-8 $d$-density wave in which the current density is unidirectionally modulated. The current modulation is also naturally accompanied by a period-4 site charge modulation in the same direction, which is consistent with recent magnetic resonance measurements. In principle Landau theory also allows for a period-4 bond charge modulation, which is not discussed, but should be simple to incorporate in the future. This scenario leads to a natural, but not a unique, explanation of why only oscillations from a single electron pocket is observed, and a hole pocket of roughly twice the frequency as dictated by two-fold commensurate order, and the corresponding Luttinger sum rule, is not observed. However, it is possible that even higher magnetic fields will reveal a hole pocket of half the frequency of the electron pocket or smaller. This may be at the borderline of achievable high field measurements because at least a few complete oscillations have to be clearly resolved.

8 pages, 7 figures

References in corpus (39)

• Angle-resolved photoemission spectroscopy of the cuprate superconductors
• Hidden Order in the Cuprates
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Progress and perspectives on the electron-doped cuprates
• The pseudogap: friend or foe of high Tc?
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• Density Wave States of Non-Zero Angular Momentum
• Antiphase Stripe Order as the Origin of Electron Pockets Observed in 1/8-Hole-Doped Cuprates
• Fermi Surface Evolution in an Electron-Doped High-Tc Superconductor Revealed by Magnetic Quantum Oscillations
• Planes, Chains, and Orbits: Quantum Oscillations and High Magnetic Field Heat Capacity in Underdoped YBCO
• Electronic structure of underdoped cuprates
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• Carrier-Concentration Dependence of the Pseudogap Ground State of Superconducting Bi2Sr2-xLaxCuO6+delta Revealed by 63,65Cu-Nuclear Magnetic Resonance in Very High Magnetic Fields
• Angle-dependence of quantum oscillations in YBa2Cu3O6.59 shows free spin behaviour of quasiparticles
• Fermi surface reconstruction in high-Tc superconductors
• Magnetic quantum oscillations in YBa${}_2$Cu${}_3$O${}_{6.61}$ and YBa${}_2$Cu${}_3$O${}_{6.69}$ in fields of up to 85 T; patching the hole in the roof of the superconducting dome
• Magnetic Breakdown in the electron-doped cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$: the reconstructed Fermi surface survives in the strongly overdoped regime
• Angle-resolved photoemission spectra in the cuprates from the d-density wave theory
• Fermi-surface reconstruction in a smectic phase of a high temperature superconductor
• Magnetic Order in YBa${}_2$Cu${}_3$O${}_{6+x}$ Superconductors
• High temperature superconductivity: from complexity to simplicity
• Competing order, Fermi surface reconstruction, and quantum oscillations in underdoped high temperature superconductors
• Luttinger theorem for a spin-density-wave state
• Fermi Surface of the Electron-doped Cuprate Superconductor Nd_{2-x}Ce_xCuO_{4} Probed by High-Field Magnetotransport
• Key issues in theories of high temperature superconductors
• Revealing the ortho-II Band Folding in YBa2Cu3O7-delta Films
• Polarized Neutron Measurement of Magnetic Order in YBa2Cu3O6.45
• The effects of magnetic field on the d-density wave order in the cuprates
• Observable NMR signal from circulating current order in YBCO
• Resolution of two apparent paradoxes concerning quantum oscillations in underdoped high-$T_c$ superconductors
• Quantum oscillations in antiferromagnetic conductors with small carrier pockets
• Quantum oscillations in electron doped high temperature superconductors
• Singlet versus triplet particle-hole condensates in quantum oscillations in cuprates
• Spin Zeros and the Origin of Fermi Surface Reconstruction in the Cuprates
• Magnetic breakdown and quantum oscillations in electron-doped high temperature superconductor $\mathrm{N}{\mathrm{d}}_{2-\mathrm{x}}\mathrm{C}{\mathrm{e}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$
• Direct observation of multiple spin zeroes in the underdoped high temperature superconductor YBa2Cu3O6+x

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• Are there quantum oscillations in an incommensurate charge density wave?
• Quantum oscillations in a bilayer with broken mirror symmetry: a minimal model for YBa${}_2$Cu${}_3$O${}_{6+\delta }$
• Onsager rule, quantum oscillation frequencies, and the density of states in the mixed-vortex state of cuprates
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