Vortex structure in $d$-wave superconductors

Abstract

Vortex structure of pure $d_{x^2-y^2}$-wave superconductors is microscopically analyzed in the framework of the quasi-classical Eilenberger equations. Selfconsistent solution for the $d$-wave pair potential is obtained for the first time in the case of an isolated vortex. The vortex core structure, i.e., the pair potential, the supercurrent and the magnetic field, is found to be fourfold symmetric even in the case that the mixing of $s$-wave component is absent. The detailed temperature dependences of these quantities are calculated. The fourfold symmetry becomes clear when temperature is decreased. The local density of states is calculated for the selfconsistently obtained pair potential. From the results, we discuss the flow trajectory of the quasiparticles around a vortex, which is characteristic in the $d_{x^2-y^2}$-wave superconductors. The experimental relevance of our results to high temperature superconductors is also given.

22 pages, RevTex, 23 figures available upon request

References in corpus (2)

• Vortex State in a d-Wave Superconductor
• $s$- and $d_{xy}$-wave components induced around a vortex in $d_{x^2-y^2}$-wave superconductors

Cited by in corpus (59)

• Scanning tunneling spectroscopy of high-temperature superconductors
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Quasiparticle States near the Surface and the Domain Wall in a p_x\pm i p_y-Wave Superconductor
• Magnetic-field Induced Pair Density Wave State in the Cuprate Vortex Halo
• Novel vortex structures in dipolar condensates
• Local Electronic Structure of Defects in Superconductors
• Singularity of the Vortex Density of States in d-wave Superconductors
• Vortex states in superconductors with strong Pauli-paramagnetic effect
• Muon spin rotation studies of electronic excitations and magnetism in the vortex cores of superconductors
• Antiferromagnetic Vortex Core of Tl_2Ba_2CuO_{6+x} Studied by Nuclear Magnetic Resonance
• Topological Structure of a Vortex in Fulde-Ferrell-Larkin-Ovchinnikov State
• The pairing state in KFe2As2 studied by measurements of the magnetic vortex lattice
• Two-band superconductors: Extended Ginzburg-Landau formalism by a systematic expansion in small deviation from the critical temperature
• Hole doping dependences of the magnetic penetration depth and vortex core size in YBa2Cu3Oy: Evidence for stripe correlations near 1/8 hole doping
• Extended Ginzburg-Landau formalism: systematic expansion in small deviation from the critical temperature
• Field dependence of the vortex structure in chiral p-wave superconductors
• Observation of Caroli-de Gennes-Matricon Vortex States in YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Effects of surface roughness on the paramagnetic response of small unconventional superconductors
• Site-selective nuclear magnetic relaxation time in a superconducting vortex state
• Superconducting gap and vortex lattice of the heavy fermion compound CeCu_2Si_2
• Quantum limiting behaviors of a vortex core in an anisotropic gap superconductor
• Kramer-Pesch effect in chiral p-wave superconductors
• Theory of quasiparticle vortex bound states in Fe-based superconductors: application to LiFeAs
• Volovik effect in a highly anisotropic multiband superconductor: experiment and theory
• Analytical Formulation of the Local Density of States around a Vortex Core in Unconventional Superconductors
• Low-lying excitations around a single vortex in a d-wave superconductor
• High-Resolution Scanning Tunneling Spectroscopy of Vortex Cores in Inhomogeneous Electronic States of Bi2Sr2CaCu2Ox
• Positions of Point-Nodes in Borocarbide Superconductor YNi2B2C
• Locking of length scales in two-band superconductors
• Specific heat and low-lying excitations in the mixed state for a type II superconductor
• Vortex lattice structure in a d_{x^2-y^2}-wave superconductor
• Effects of thermal fluctuations on the magnetic behavior of mesoscopic superconductors
• Vortex spectroscopy in the vortex glass: A real-space numerical approach
• Ginzburg Landau theory for d-wave pairing and fourfold symmetric vortex core structure
• Emergent Odd-Frequency Superconducting Order Parameter near Boundaries in Unconventional Superconductors
• Impurity Effect on Kramer-Pesch Core Shrinkage in s-Wave Vortex and Chiral p-Wave Vortex
• Analytical Result on Electronic States around a Vortex Core in a Noncentrosymmetric Superconductor
• Theory of vortices in hybridized ballistic/diffusive-band superconductors
• Vortex lattice structure in BaFe2(As0.67P0.33)2 by the small-angle neutron scattering technique
• Vortex-Core Charging Due to the Lorentz Force in a $d$-Wave Superconductor
• Hall Effect in the Abrikosov Lattice of Type-II Superconductors
• Recursion method for the quasiparticle structure of a single vortex with induced magnetic order
• Structure of the core of magnetic vortices in d-wave superconductors with a subdominant triplet pairing mechanism
• Electronic states near a quantum fluctuating point vortex in a d-wave superconductor: Dirac fermion theory
• Knight shift spectrum in vortex states in s-wave and d-wave superconductors on the basis of Eilenberger theory
• Charging in a Superconducting Vortex Due to the Three Force Terms in Augmented Eilenberger Equations
• Hall Effect in the Vortex Lattice of d-Wave Superconductors with Anisotropic Fermi surfaces
• Signatures of New $d$-Wave Vortex Physics in Overdoped Tl${}_2$Ba${}_2$CuO${}_{6+x}$ Revealed by TF-${\mu }^{+}$SR
• Study of the threshold line between macroscopic and bulk behaviors for homogeneous type II superconductors
• Charging due to Pair-Potential Gradient in Vortex of Type-II Superconductors
• Quasiparticle Bound States around Fractional Vortices in s-wave Superconductor
• Experimental search for anisotropic flux flow resistivity in the a-b plane of optimally doped epitaxial thin films of YBCO
• Uniform spin susceptibility tensor and quasiparticle density of states in organic quasi-one-dimensional superconductors
• Quantized bound states around a vortex in anisotropic superconductors
• Quasiparticle Excitation Spectrum of an Isolated Vortex in a High--Temperature Superconductor
• Low energy theory of a single vortex and electronic quasiparticles in a d-wave superconductor
• Langevin Simulation of Nonlocal Ginzburg-Landau Model for Superconductors in a Magnetic Field
• Density of states near a vortex core in ferromagnetic superconductors: Application to STM measurements
• Quasiclassical theory of vortex states in locally non-centrosymmetric superconductors: application to CeRh${}_2$As${}_2$