Singlet versus triplet particle-hole condensates in quantum oscillations in cuprates

Abstract

Quantum oscillations in a tilted magnetic field offer the possibility of distinguishing singlet versus triplet order parameters in the particle hole channel provided the measurements reflect a putative ``normal'' state of a density wave obtained by applying by high magnetic field at low temperatures. A theoretical analysis is given that compares spin density wave, a singlet $d$-density wave, and a triplet $d$-density wave. While the existence of a spin zero in the oscillation amplitude is a necessary consequence of a singlet order parameter, a triplet order parameter may or may not exhibit a spin zero, making it a quantitative issue that depends on the actual extremal orbits on the Fermi surface. Nonetheless, a theoretical analysis can shed light on the striking recent measurements in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$.

Accepted version

References in corpus (14)

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Cited by in corpus (7)

• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Angle-dependence of quantum oscillations in YBa2Cu3O6.59 shows free spin behaviour of quasiparticles
• 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
• Topological density wave states of non-zero angular momentum
• Quantum oscillations in $\mathrm{YB}{\mathrm{a}}_2\mathrm{C}{\mathrm{u}}_3{\mathrm{O}}_{6+\delta }$ from an incommensurate $d$-density wave order
• Magnetic breakdown and quantum oscillations in electron-doped high temperature superconductor $\mathrm{N}{\mathrm{d}}_{2-\mathrm{x}}\mathrm{C}{\mathrm{e}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$