Quantum motion in disordered magnetic fields.

Vincenzo G. Benza



Abstract

Spinless particle dynamics in disordered magnetic fields is involved in various physical situations: vortex motion in type II superconductors, quantum Hall effect at filling factor 1/2, strongly correlated systems with spin-charge separation. The case of fast fluctuations in time is con- sidered, both in the continuum and on the lattice, and the effective Liouvillian, after averaging over disorder, is determined. Quantum diffusion and logarithmic growth are obtained. In the presence of bias the dynamics is described by a pair hopping model: two classes of solutions (correlated and anticorrelated particle-antiparticle pairs) are discussed.


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