Quantum oscillations in the mixed state of d-wave superconductors

Ashot Melikyan; Oskar Vafek

doi:10.1103/PhysRevB.78.020502

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Quantum oscillations in the mixed state of d-wave superconductors

Ashot Melikyan, Oskar Vafek

DOI 10.1103/PhysRevB.78.020502 · Physical Review B

T1

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Abstract

We show that the low-energy density of quasiparticle states in the mixed state of ultraclean dx2−y2-wave superconductors exhibits quantum oscillations even in the regime where the cyclotron frequency ℏωc⪡Δ0, 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 nodal quasiparticles near wave vectors (±kD,±kD) by the vortex lattice as well as their Zeeman coupling. While the nominal periodicity of the oscillations is set by the condition kD[hc∕(eB)]1∕2≡kD′[hc∕(eB′)]1∕2(mod2π), we find that there is additional structure within each period that grows in complexity as the Dirac node anisotropy increases.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
YBa2Cu3O6.5 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
YBa2Cu4O8 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown