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

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• Normal-state nodal electronic structure in underdoped high-Tc copper oxides
• Quantum oscillations from Fermi arcs
• Composite Operator Method analysis of the underdoped cuprates puzzle
• Magneto-oscillations in Underdoped Cuprates
• Unconventional quantum vortex matter state hosts quantum oscillations in the underdoped high-temperature cuprate superconductors
• The Mixed State of a $\pi$-Striped Superconductor
• Berry Phase in Cuprate Superconductors
• Magnetic breakdown in ortho-II high-temperature cuprates
• The Hubbard model in strong magnetic field: Low-frequency quantum oscillations due to strong electron correlations
• Strongly correlated electron system in the magnetic field
• Low-frequency magnetic oscillations induced by strongly electron correlations
• Relaxation of Nuclear Magnetic Moments and Site-Selective NMR in d-Wave Superconductors
• Geometric phases of d-wave vortices in a model of lattice fermions
• Controlling the self-doping of YBa2C3O7-d polar surfaces: From Fermi surface to nodal Fermi arcs by ARPES
• Empirical case for two pseudogaps in cuprate superconductors
• Thermodynamic signature of a magnetic-field-driven phase transition within the superconducting state of an underdoped high-temperature superconductor