Low Temperature Behavior of the Vortex Lattice in Unconventional Superconductors

Abstract

We study the effect of the superconducting gap nodes on the vortex lattice properties of high temperature superconductors at very low temperatures. The nonlinear, nonlocal and nonanalytic nature of this effect is shown to have measurable consequences for the vortex lattice geometry and the effective penetration depth in the mixed state as measured by muon-spin-rotation experiments.

3 figures and extensive discussion added, Version to appear in September 1 issue of PRB

References in corpus (8)

• Self-consistent electronic structure of a $d_{x^2-y^2}$ and a $d_{x^2-y^2}+i{d}_{xy}$ vortex
• Nonlocal Effects on the Magnetic Penetration Depth in d-wave Superconductors
• Effect of the vortex core on the magnetic field in hard superconductors
• Muon-Spin Rotation Measurements of the Magnetic Field Dependence of the Vortex-Core Radius and Magnetic Penetration Depth in NbSe2
• Theory of equilibrium flux lattices in unconventional superconductors
• Muon spin rotation measurement of the fundamental length scales in the vortex state of YBa2Cu3O6.60
• Superconducting gap node spectroscopy using nonlinear electrodynamics
• Numerically implemented perturbation method for the nonlinear magnetic moment of an anisotropic superconductor

Cited by in corpus (28)

• Field dependence of the vortex structure in d-wave and s-wave superconductors
• Field Induced Reduction of the Low Temperature Superfluid Density in YBa2Cu3O6.95
• Muon spin rotation studies of electronic excitations and magnetism in the vortex cores of superconductors
• Effective "Penetration Depth" in the Vortex State of a d-wave Superconductor
• Hole doping dependences of the magnetic penetration depth and vortex core size in YBa2Cu3Oy: Evidence for stripe correlations near 1/8 hole doping
• Is the nonlinear Meissner effect unobservable?
• Observation of non-exponential magnetic penetration profiles in the Meissner state - A manifestation of non-local effects in superconductors
• Possible Anisotropic Order Parameter in Pyrochlore Superconductor KOs${}_2$O${}_6$ Probed by Muon Spin Rotation
• Expansion of the Vortex Cores in YBa2Cu3O6.95 at Low Magnetic Fields
• Field-induced quasiparticle excitations in novel type II superconductors
• Shape and Motion of Vortex Cores in Bi_2Sr_2CaCu_2O_{8+δ}
• Quasiparticle transport in the vortex state of d-wave superconductors
• Theory of NMR as a local probe for the electronic structure in the mixed state of the high-$T_c$ cuprates
• Aharonov-Bohm Effect for Quasiparticles around a Vortex Line in a D-wave Superconductor
• Free Energy and Magnetic Penetration Depth of a $d$-Wave Superconductor in the Meissner State
• Magnetic-field-induced nonlocal effects on the vortex interactions in twin-free YBa2Cu3O7
• Square vortex lattice at anomalously low magnetic fields in electron-doped Nd${}_{1.85}$Ce${}_{0.15}$CuO${}_4$
• Low Frequency Nonlinear Magnetic Response of an Unconventional Superconductor
• On the interpretation of muon-spin-rotation experiments in the mixed state of type-II superconductors
• Vortex lattice structure in BaFe2(As0.67P0.33)2 by the small-angle neutron scattering technique
• Magnetic field induced reduction of the low-temperature superfluid density in cuprate superconductors
• Microscopic properties of vortex state in YB6 probed by muon spin rotation
• Vortex lattice disorder in YBCO probed using Beta-NMR
• Duality and the vibrational modes of a Cooper-pair Wigner crystal
• Spin-lattice relaxation in the mixed state of the high-$T_c$ cuprates: electronic spin-flip scattering versus spin-fluctuations
• Low temperature superfluid stiffness of d-wave superconductor in a magnetic field
• Ground State Vortex Lattice Structures in d-wave Superconductors
• Angular dependence of the penetration depth in unconventional superconductors