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.
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Host: Das Sarma
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