Catherine Kallin

Superconducting Vortex with Antiferromagnetic Core

We show that a superconducting vortex in underdoped high T{sub c} superconductors could have an antiferromagnetic core. This type of vortex configuration arises as a topological solution in the recently constructed SO(5) nonlinear {sigma} model and in Landau-Ginzburg theory with competing antiferromagnetic and superconducting order parameters. Experimental detection of this type of vortex by muon spin resonance and neutron scattering is proposed. {copyright} {ital 1997} {ital The American Physical Society}

Ginzburg-Landau theory of vortices in d-wave superconductors.

Ginzburg-Landau theory is used to study the properties of single vortices and of the Abrikosov vortex lattice in a

VORTEX STATE IN A D-WAVE SUPERCONDUCTOR

d_{x^2-y^2}

Impurity scattering and localization in d-wave superconductors.

superconductor. For a single vortex, the

Collective modes and electromagnetic response of a chiral superconductor

s

Microscopic derivation of the Ginzburg-Landau equations for a d-wave superconductor

-wave order parameter has the expected four-lobe structure in a ring around the core and falls off like

Intrinsic Hall effect in a multiband chiral superconductor in the absence of an external magnetic field.

1/r^2

Non-topological nature of the edge current in a chiral

at large distances. The topological structure of the

p

s

-wave superconductor

-wave order parameter consists of one counter-rotating unit vortex, centered at the core, surrounded by four symmetrically placed positive unit vortices. The Abrikosov lattice is shown to have a triangular structure close to