Structure of an isolated vortex in an anisotropic type-II superconductor

Journal Article · Mon Jan 01 04:00:00 EST 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.41.117· OSTI ID:6993451

Klemm, R A ^[1]

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1. Ames Laboratory, Iowa State University, Ames, Iowa 50011 (USA) Department of Physics, Iowa State University, Ames, Iowa 50011 (USA)

The Ginzburg-Landau equations with general effective-mass anisotropy are diagonalized for a general direction {bold v} of an isolated vortex core. For {bold v} not parallel to one of the three crystal axis directions, the local magnetic induction {bold b} contains components {ital b}{sub {rho}} and {ital b}{sub {phi}}, perpendicular to {bold v}, which vanish as {rho}{sup 2} away from the center of the core with coefficients that are odd in the azimuthal angle {phi}. In the London limit far from the core, {ital b}{sub {rho}} and {ital b}{sub {phi}} are comparable to {ital b}{sub 3}={bold {cflx v}}{center dot}{bold b}, and all fall off exponentially in {rho}, with two distinct exponents, each of which depends explicitly upon the azimuthal angle {phi} about {bold {cflx v}}. The presence of {ital b}{sub {rho}} and {ital b}{sub {phi}} reduces the energy cost of the locking of the core into the lattice but does not remove it entirely, as the leading correction to the line energy is proportional to the parameter {beta}{sup 2} (rather than {beta}), where {beta} is the parameter introduced previously by the author. With the use of an ansatz, an exact form for the field components and reduced order parameter {ital f} in the core region is obtained. The lines of constant {ital b}{sub 3} and {vert bar}{ital b}{sub {perpendicular}}{vert bar} in the core region are found for arbitrary effective-mass anisotropy and {cflx {bold v}}. These forms should be observable by scanning tunneling microscopy and by large-momentum-transfer neutron-scattering experiments for fields slightly greater than {ital H}{sub {ital c}1}. In addition, the angular dependence of {ital H}{sub {ital c}1} should exhibit a kink, as the vortex cores prefer to lie along one of the crystal symmetry directions.

• DOE Contract Number: W-7405-ENG-82
• OSTI ID: 6993451
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 41:1; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656100* -- Condensed Matter Physics-- Superconductivity
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
EFFECTIVE MASS
GINZBURG-LANDAU THEORY
MAGNETIC FLUX
MASS
MIXED STATE
ORDER PARAMETERS
SUPERCONDUCTORS
TYPE-II SUPERCONDUCTORS