Effective action for vortex dynamics in clean d-wave superconductors

Predrag Nikolić; Subir Sachdev

doi:10.1103/PhysRevB.73.134511

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Effective action for vortex dynamics in clean d-wave superconductors

Predrag Nikolić, Subir Sachdev

DOI 10.1103/PhysRevB.73.134511 · Physical Review B

T1

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Abstract

We describe the influence of the gapless, nodal, fermionic quasiparticles of a two-dimensional d-wave superconductor on the motion of vortices. A continuum, functional formalism is used to obtain the effective vortex action, after the fermions have been integrated out. At zero temperature (T), the leading terms in the vortex action retain their original form, with only an infrared finite renormalization of the vortex effective mass from the fermions. A universal “sub-Ohmic” damping of the vortex motion is also found. At T>0, we find a Bardeen-Stephen viscous drag term, with a universal coefficient which vanishes as ∼T2. We present a simple scaling interpretation of our results, in which quantum-critical Dirac fermions respond to a moving point singularity. Our results appear to differ from those of the semiclassical theory, which obtains more singular corrections to a vortex mass appearing in transport equations.

Source-reported materials — not catalogue approval

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