Magnetic quantum currents in the presence of a Neumann wall

Abstract

We consider the Schrödinger operator with constant transverse magnetic field on a half-plane, endowed with Neumann boundary conditions. We study the low energy currents flowing along the boundary and we establish a Limiting Absorption Principle for the magnetic Neumann Laplacian under perturbation of an electric potential.

References in corpus (3)

• Edge Currents for Quantum Hall Systems, I. One-Edge, Unbounded Geometries
• Spectral Properties of a Magnetic Quantum Hamiltonian on a Strip
• Edge Currents for Quantum Hall Systems, II. Two-Edge, Bounded and Unbounded Geometries

Cited by in corpus (1)

• Magnetic transport in laterally coupled layers