Solid State Analog for He-McKellar-Wilkens Quantum Phase

Abstract

In this letter we investigate the quantum dynamics of a quasiparticle in the presence of a charged screw dislocation submitted to a uniform magnetic field. Analysing the quantum scattering for this quasiparticle we observed the appearance of a topological quantum phase in the solution and demonstrate that this phenomenon is the solid state analog of the He-McKeller-Wilkens effect.

7 pages, epl style

References in corpus (4)

• Topological phase due to electric dipole moment and magnetic monopole interaction
• Classical and Quantum Interaction of the Dipole
• Maxwell Duality, Lorentz Invariance, and Topological Phase
• Aharonov-Bohm scattering of neutral atoms with induced electric dipole moments

Cited by in corpus (10)

• Landau Quantization of Neutral Particles in an External Field
• Geometric Phase for Neutral Particle in the Presence of a Topological Defect
• Effects of Topological Defect on the Energy Spectra and Thermo-magnetic Properties of CO Diatomic Molecule
• Relativistic Landau-Aharonov-Casher quantization based on the Lorentz symmetry violation background
• He-McKellar-Wilkens effect and Scalar Aharonov-Bohm effect for a neutral particle based on the Lorentz symmetry violation
• Abelian geometric phase for a Dirac neutral particle in a Lorentz symmetry violation environment
• Scattering and bound states of Dirac Equation in presence of cosmic string for Hulthén potential
• Aharonov-Bohm Effect and Disclinations in an Elastic Medium
• Non-commutativity and non-inertial effects on the Dirac oscillator in a cosmic string space-time
• Spin-$0$ scalar particle interacts with scalar potential in the presence of magnetic field and quantum flux under the effects of KKT in $5D$ cosmic string space-time