21 citations · 28 across the 4 of their papers we have counts for
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math-ph2013★ 1 cited
Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators
Nicolas Dombrowski, Peter D. Hislop, Eric Soccorsi
We study two-dimensional magnetic Schrödinger operators with a magnetic field that is equal to b>0 for x > 0 and (-b) for x < 0. This magnetic Schrödinger operator exhibits a magne…
math-ph2011★ 5 cited
Linear Response Theory for Random Schrödinger Operators and Noncommutative Integration
N. Dombrowski, F. Germinet
We consider an ergodic Schrödinger operator with magnetic field within the non-interacting particle approximation. Justifying the linear response theory, a rigorous derivation of a…