9:15 AM-10:00 AM
Chair: Jacob Rubinstein, Technion-Israel Institute of Technology, Israel
The speaker will discuss the localization transitions which arise in both one and two dimensions when quantum mechanical particles described by a random Schrodinger equation are subjected to a constant imaginary vector potential. A tight binding model relates the physics to the eigenvectors and eigenvalues of an especially simple class of random Non-Hermitian matrices. A path-integral formulation shows that the transition describes flux lines depinned from columnar defects by a transverse magnetic field in superconductors. The theory predicts that the transverse Meissner effect is accompanied by stretched exponential relaxation of the field into the bulk and a diverging penetration depth at the transition.
David R. Nelson
Department of Physics, Harvard University
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