Mixed state of a lattice d-wave superconductor

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dc.creatorMelikyan, Ashot
dc.creatorTesanovic, Zlatko
dc.date2006-06-13
dc.date.accessioned2026-07-07T07:12:38Z
dc.date.available2026-07-07T07:12:38Z
dc.descriptionWe study the mixed state in an extreme type-II lattice d-wave superconductor in the regime of intermediate magnetic fields H_{c1} << H << H_{c2}. We analyze the low energy spectrum of the problem dominated by nodal Dirac-like quasiparticles with momenta near k_F=(\pm k_D,\pm k_D) and find that the spectrum exhibits characteristic oscillatory behavior with respect to the product of k_D and magnetic length l. The Simon-Lee scaling, predicted in this regime, is satisfied only on average, with the magnitude of the oscillatory part of the spectrum displaying the same 1/l dependence as its monotonous ``envelope'' part. The oscillatory behavior of the spectrum is due to the inter-nodal interference enhanced by the singular nature of the low energy eigenfunctions near vortices. We also study a separate problem of a single vortex piercing an isolated superconducting grain of size L by L. Here we find that the periodicity of the quasiparticle energy oscillations with respect to k_D L is doubled relative to the case where the field is zero and the vortex is absent, both such oscillatory behaviors being present at the leading order in 1/L. Finally, we review the overall features of the tunneling conductance experiments in YBCO and BSCCO, and suggest an interpretation of the peaks at 5-20 meV observed in the tunneling local density of states in these materials.
dc.description16 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0606335
dc.identifierhttp://arxiv.org/abs/cond-mat/0606335
dc.identifierPhys. Rev. B 74, 144501 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.144501
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112140
dc.subjectSuperconductivity
dc.titleMixed state of a lattice d-wave superconductor
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