Nonlocal Effects on the Magnetic Penetration Depth in d-wave Superconductors

Abstract

We show that, under certain conditions, the low temperature behavior of the magnetic penetration depth $\lambda (T)$ of a pure d-wave superconductor is determined by nonlocal electrodynamics and, contrary to the general belief, the deviation $\Delta \lambda (T)=\lambda (T)-\lambda (0)$ is proportional to T^2 and not T. We predict that the $\Delta \lambda (T)\propto T^2$ dependence, due to nonlocality, should be observable experimentally in nominally clean high-T_c superconductors below a crossover temperature $T^{\ast }=({\xi }_o/{\lambda }_o){\Delta }_o\sim 1K$. Possible complications due to impurities, surface quality and crystal axes orientation are discussed.

REVTeX3.0; 4 pages, 1 EPS figure (included); Submitted to Phys. Rev. Lett

Cited by in corpus (87)

• Magnetic Penetration Depth in Unconventional Superconductors
• Unconventional Superconductivity
• Microwave Spectroscopy of Thermally Excited Quasiparticles in YBa_2Cu_3O_{6.99}
• Anisotropic thermodynamics of d-wave superconductors in the vortex state
• Evidence for nodal quasiparticles in electron-doped cuprates from penetration depth measurements
• Low Temperature Penetration depth of κ-(ET)_2Cu[N(CN)_2]Br and κ-(ET)_2Cu(NCS)_2
• Lifting of nodes by disorder in extended-$s$ state superconductors: application to ferropnictides
• Evidence for a Transition in the Pairing Symmetry of the Electron-Doped Cuprates La_{2-x}Ce_xCuO_{4-y} and Pr_{2-x}Ce_xCuO_{4-y}
• Interlayer Coupling and p-wave Pairing in Strontium Ruthenate
• The London penetration depth in single crystals of Ba(Fe_{1-x}Co_x)_2As_2 at various doping levels
• Possible pairing states of the Fe-based superconductors
• Low-Temperature Magnetic Penetration Depth in d-Wave Superconductors: Zero-Energy Bound State and Impurity Effects
• Absence of non-linear Meissner effect in YBa2Cu3O6.95
• Effective "Penetration Depth" in the Vortex State of a d-wave Superconductor
• Theory of equilibrium flux lattices in unconventional superconductors
• Observation of Weak-Limit Quasiparticle Scattering via Broadband Microwave Spectroscopy of a d-Wave Superconductor
• Chiral superconductivity in UTe2 probed by anisotropic low-energy excitations
• Low Temperature Behavior of the Vortex Lattice in Unconventional Superconductors
• Possible f-wave superconductivity in Sr${}_2$RuO${}_4$?
• The pairing state in KFe2As2 studied by measurements of the magnetic vortex lattice
• Evidence for a Nodeless Gap from the Superfluid Density of Optimally Doped Pr_{1.855}Ce_{0.145}CuO_{4-y} Films
• Angular Dependence of the Nonlinear Transverse Magnetic Moment of YBCO in the Meissner state
• Evidence for Unconventional Superconductivity in the Non-Oxide Perovskite $\mathrm{MgCN}{\mathrm{i}}_3$ from Penetration Depth Measurements
• Identification of the bulk pairing symmetry in high-temperature superconductors: Evidence for an extended s-wave with eight line nodes
• Non-Locality and Strong Coupling in the Heavy Fermion Superconductor CeCoIn${}_5$: A Penetration Depth Study
• Is the nonlinear Meissner effect unobservable?
• Kinetic-energy driven superconductivity in cuprate superconductors
• Observation of non-exponential magnetic penetration profiles in the Meissner state - A manifestation of non-local effects in superconductors
• CeCoIn5 - a quantum critical superfluid
• Evidence for Surface Andreev Bound states in Cuprate Superconductors from Penetration Depth Measurements
• Direct observation of non-local effects in a superconductor
• Nodal quasiparticle dynamics in the heavy fermion superconductor CeCoIn5 revealed by precision microwave spectroscopy
• Scattering by impurity-induced order parameter ``holes'' in d-wave superconductors
• Nodal superconducting exchange coupling
• Field-induced quasiparticle excitations in novel type II superconductors
• Anomalous superfluid density in quantum critical superconductors
• Pseudogap phenomena in ultracold atomic Fermi gases
• Phenomenology of a-axis and b-axis charge dynamics from microwave spectroscopy of highly ordered YBa2Cu3O6.50 and YBa2Cu3O6.993
• The Superfluid Density in the D-density-wave Scenario
• Effect of magnetic criticality and Fermi-surface topology on the magnetic penetration depth
• In-plane superfluid density and microwave conductivity of the organic superconductor κ-(BEDT-TTF)2Cu[N(CN)2]Br: evidence for d-wave pairing and resilient quasiparticles
• Quasiparticle transport in the vortex state of d-wave superconductors
• On the T-dependence of the magnetic penetration depth in unconventional superconductors at low temperatures: can it be linear?
• Free Energy and Magnetic Penetration Depth of a $d$-Wave Superconductor in the Meissner State
• Anomalous Scaling of the Penetration Depth in Nodal Superconductors
• Magnetic vortex lattice in HgBa2CuO4+x observed by small-angle neutron scattering
• Magnetic-field-induced nonlocal effects on the vortex interactions in twin-free YBa2Cu3O7
• Entropy paradox in strongly correlated Fermi systems
• Magnetic penetration depth in disordered iron-based superconductors
• Erratum: Nodal Cooper-pair stabilized phase dynamics in granular d-wave superconductors
• Transport properties of 3D extended s-wave states in Fe-based superconductors
• Doping dependent evolution of magnetism and superconductivity in Eu1-xKxFe2As2 (x = 0-1) and temperature dependence of lower critical field Hc1
• Long range crossed Andreev reflections in high Tc superconductors
• Modulated Vortex Lattice in High Fields and Gap Nodes
• Unusual temperature dependence of the London penetration depth in all-organic β``-(ET)_2SF_5CH_2CF_2SO_3 single crystals
• Andreev Bound States in Superconducting Films and Confined Superfluid He-3
• Anisotropy and multiband superconductivity in Sr2RuO4
• The penetration depth in Sr2RuO4: Evidence for orbital dependent superconductivity
• Simultaneous Evidence for Pauli Paramagnetic Effects and Multiband Superconductivity in KFe${}_2$As${}_2$ by Small-Angle Neutron Scattering Studies of the Vortex Lattice
• Doping dependence of Meissner effect in cuprate superconductors
• Evolution of quasiparticle excitations with critical mass enhancement in superconducting AFe2As2 (A = K, Rb, and Cs)
• Muon spin rotation measurements of the superfluid density in fresh and aged superconducting PuCoGa${}_5$
• Comment on ``$T$-dependence of the magnetic penetration depth in unconventional superconductors at low temperatures: Can it be linear?"
• Magnetic field induced reduction of the low-temperature superfluid density in cuprate superconductors
• Has the nonlinear Meissner effect been observed?
• Probing the superconducting gap structure of (Li${}_{1-x}$Fe${}_x$)OHFeSe
• Microscopic properties of vortex state in YB6 probed by muon spin rotation
• Evidence for nonmonotonic magnetic field penetration in a type-I superconductor
• Array of Josephson junctions with a non-sinusoidal current-phase relation as a model of the resistive transition of unconventional superconductors
• Comment on "Is the nonlinear Meissner effect unobservable?"
• Reentrant Superfluidity and Pair Density Wave in Single Component Dipolar Fermi Gases
• Comment on "T-dependence of the magnetic penetration depth in unconventional superconductors at low temperatures: Can it be linear?"
• Electromagnetic response in kinetic energy driven cuprate superconductors: Linear response approach
• Singular current response from isolated impurities in d-wave superconductors
• Basal-Plane Magnetic Anisotropies of High-kappa d-Wave Superconductors in a Mixed State: A Quasiclassical Approach
• Quantum Information Aspects on Bulk and Nano Interacting Fermi System: Spin-Space Density Matrix Approach
• Nodal quasiparticles and classical phase fluctuations in d-wave superconductors
• Nonlocal electrodynamics and the penetration depth of superconducting Sr${}_2$RuO${}_4$
• Ground State Vortex Lattice Structures in d-wave Superconductors
• The influence of chiral surface states on the London penetration depth in Sr${}_2$RuO${}_4$
• Nonlinear electrodynamics of p-wave superconductors
• Superfluid response in heavy fermion superconductors
• Doping dependence of electromagnetic response in cuprate superconductors
• The Gor'kov and Melik-Barkhudarov correction to the mean-field critical field transition to Fulde-Ferrell-Larkin-Ovchinnikov states
• Revealing isotropic abundant low-energy excitations in UTe${}_2$ through complex microwave surface impedance
• Microscopic Insights into London Penetration Depth: Application to CeCoIn${}_5^{}$
• Thermal and Quantum critical Properties of overdoped La_{2-x}Sr_{x}CuO_{4}