Condensed Matter Physics Seminar

Note Special Time and Place
10:30 AM, Monday, March 15, 2004

Room 2202, Physics Building

 Nodal quasiparticles in vortex lattice

Ashot Melikyan

(Johns Hopkins University)

Abstract:  In the mixed state of extreme type-II superconductors at small magnetic field, the low energy d-wave quasiparticles can be effectively described as Dirac fermions moving in the field of singular scalar and vector potentials. Although the effective linearized Hamiltonian operator formally does not depend on the structure of vortex cores, singular nature of the perturbation requires choosing a self-adjoint extension of the Hamiltonian by imposing additional boundary conditions at vortex locations. Every vortex is described by a single parameter θ that effectively represents all effects describing physics beyond linearization. We identify the self-adjoint extensions of the solutions found earlier in the framework of the linearized Hamiltonian diagonalized by expansion in the plane wave basis and analyze the relation between fully self-consistent formulation of the problem to the linearized model on general symmetry grounds and numerically.
Host:  Das Sarma
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