Zero modes in a system of Aharonov-Bohm fluxes

Abstract

We study zero modes of two-dimensional Pauli operators with Aharonov--Bohm fluxes in the case when the solenoids are arranged in periodic structures like chains or lattices. We also consider perturbations to such periodic systems which may be infinite and irregular but they are always supposed to be sufficiently scarce.

References in corpus (4)

• Generalised boundary conditions for the Aharonov-Bohm effect combined with a homogeneous magnetic field
• Green functions of the Dirac equation with magnetic-solenoid field
• Dirac equation in the magnetic-solenoid field
• On the Pauli operator for the Aharonov-Bohm effect with two solenoids

Cited by in corpus (7)

• Spectra of self-adjoint extensions and applications to solvable Schroedinger operators
• Schrödinger operators with multiple Aharonov-Bohm fluxes
• 2-D Covariant Affine Integral Quantization(s)
• Zero modes in a system of Aharonov--Bohm solenoids on the Lobachevsky plane
• Aharonov-Bohm effect with many vortices
• Aharonov-Casher theorems for Dirac operators on manifolds with boundary and APS boundary condition
• Schrödinger operators with random $\delta$ magnetic fields