On the number of bound states for weak perturbations of spin-orbit Hamiltonians

Abstract

We give a variational proof of the existence of infinitely many bound states below the continuous spectrum for some weak perturbations of a class of spin-orbit Hamiltonians including the Rashba and Dresselhaus Hamiltonians.

References in corpus (2)

• Bound states in a 2D short range potential induced by spin-orbit interaction
• Ballistic spin currents in mesoscopic metal/In(Ga)As/metal junctions

Cited by in corpus (5)

• Weak coupling limit for Schrödinger-type operators with degenerate kinetic energy for a large class of potentials
• Dynamics of an electron confined to a "hybrid plane" and interacting with a magnetic field
• On the discrete spectrum of spin-orbit Hamiltonians with singular interactions
• Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy
• Virtual bound levels in a gap of the essential spectrum of the Schroedinger operator with a weakly perturbed periodic potential