Aharonov-Bohm-Casher Problem with a nonminimal Lorentz-violating coupling

Understand

The Aharonov-Bohm-Casher problem is examined for a charged particle describing a circular path in presence of a Lorentz-violating background nonminimally coupled to a spinor and a gauge field.

• It were evaluated the particle eigenenergies, showing that the LV background is able to lift the original degenerescence in the absence of magnetic field and even for a neutral particle.
• The Aharonov-Casher phase is used to impose an upper bound on the background magnitude.
• A similar analysis is accomplished in a space endowed with a topological defect, revealing that both the disclination parameter and the LV background are able to modify the particle eigenenergies.