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 (15)

• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• Quantum Oscillations in the Underdoped Cuprate YBa2Cu4O8
• Shubnikov-de Haas oscillations in YBa_2Cu_4O_8
• 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
• Fermi pockets and quantum oscillations of the Hall coefficient in high temperature superconductors
• 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
• Competing order, Fermi surface reconstruction, and quantum oscillations in underdoped high temperature superconductors
• High temperature superconductivity: from complexity to simplicity
• Key issues in theories of high temperature superconductors
• Resolution of two apparent paradoxes concerning quantum oscillations in underdoped high-$T_c$ superconductors
• Quantum oscillations in antiferromagnetic conductors with small carrier pockets
• Singlet versus triplet particle-hole condensates in quantum oscillations in cuprates
• Direct observation of multiple spin zeroes in the underdoped high temperature superconductor YBa2Cu3O6+x

Cited by in corpus (1)

• Kerr effect as evidence of gyrotropic order in the cuprates