  The effects of Aharonov-Casher (AC) and He-McKellar-Wilkens (HMW) phases on
entangled spin-1/2 quantum systems are investigated. We use linear charge
distributions positioned at the center of resulting closed orbits, capitalizing
on Mach Zender-type interferometers modified with phase retarders to unveil the
topological effects. We analyze how AC-HMW phases influence the Bell angles and
maximal violation of Bell-CHSH inequalities (BI) without any classical
interaction. We incorporate the spin and path of particles in the
interferometers as observables to test noncontextual hidden variable theories
against quantum mechanics, leveraging the non-local features of AC-HMW effects.
Furthermore, we discuss potential implementations of our scheme in physical
systems.
