Quantum Oscillations in the mixed state of d-wave superconductor

Abstract

We show that the low-energy density of quasiparticle states in the mixed state of ultra-clean d-wave superconductors is characterized by pronounced quantum oscillations in the regime where the cyclotron frequency $\hslash {\omega }_c\ll {\Delta }_0$, the d-wave pairing gap. Such oscillations as a function of magnetic field B are argued to be due to the internodal scattering of the d-wave quasiparticles near wavevectors $(\pm k_D,\pm k_D)$ by the vortex lattice as well as their Zeeman coupling. The periodicity of the oscillations is set by the condition $k_D\sqrt{hc/(eB)}\equiv k_D^{\prime }\sqrt{hc/(e{B}^{\prime })}(\mathrm{mod}2\pi )$. We find that there is additional structure within each period which grows in complexity as the Dirac node anisotropy increases.

4 pages, 2 figures

References in corpus (1)

• Index theoretic characterization of d-wave superconductors in the vortex state

Cited by in corpus (1)

• Controlling the self-doping of YBa2C3O7-d polar surfaces: From Fermi surface to nodal Fermi arcs by ARPES