Physics – Condensed Matter – Superconductivity
Scientific paper
2000-07-18
PRB 63, 134509 (2001)
Physics
Condensed Matter
Superconductivity
18 pages REVTeX, 17 ps figures included in the text. Final version to appear in PRB
Scientific paper
10.1103/PhysRevB.63.134509
Quasiparticles in the vortex lattice of strongly type-II superconductors are investigated by means of a singular gauge transformation applied to the tight binding lattice Bogoliubov-de Gennes Hamiltonian. We present a detailed derivation of the gauge invariant effective low energy Hamiltonian for the quasiparticle-vortex system and show how the physics of the "Doppler shift" and "Berry phase" can be incorporated at the Hamiltonian level by working in the singular gauge. In particular, we show that the "Berry phase" effect manifests itself in the effective Hamiltonian through a half-flux Aharonov-Bohm scattering of quasiparticles off vortices and stress the important role that this effect plays in the quasiparticle dynamics. Full numerical solutions in the regime of intermediate fields H_c1<
Franz Marcel
Melikyan Armen
Tesanovic Zlatko
Vafek Oskar
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