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Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect
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We show how macroscopic manifestations of P (and T) symmetry breaking can arise in a simple system subject to Aharonov-Bohm interactions. Specifically, we study the conductivity of a gas of charged particles moving through a dilute array of flux tubes. The interaction of the electrons with the flux tubes is taken to be of a purely Aharonov-Bohm type. We find that the system exhibits a nonzero transverse conductivity, i.e., a spontaneous Hall effect. This is in contrast to the fact that the cross sections for both scattering and bremsstrahlung (soft-photon emission) of a single electron from a flux tube are invariant under reflections. We argue that the asymmetry in the conductivity coefficients arises from many-body effects. On the other hand, the transverse conductivity has the same dependence on universal constants that appears in the quantum Hall effect, a result that we relate to the validity of the mean-field approximation.
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EMPARAN GARCÍA DE SALAZAR, Roberto A. and VALLE BASAGOITI, M. A. Parity violation in Aharonov-Bohm systems: The spontaneous Hall effect. Physical Review B. 1994. Vol. 49, num. 20, pags. 14460-14465. ISSN 0163-1829. [consulted: 7 of August of 2026]. Available at: https://hdl.handle.net/2445/10868