Gauge proximity influence of fields on extended states

International Conference on Quantum Physics and Nuclear Engineering

March 14-16, 2016 London, UK

Konstantinos Moulopoulos

University of Cyprus, Cyprus

Posters & Accepted Abstracts: J Laser Opt Photonics

Abstract :

A proximity influence of a magnetic field on adjacent regions in flat 2D space is shown to be a natural consequence of the Aharonov- Bohm effect combined with the non-existence of magnetic monopoles. This influence is confirmed through a recent theory that goes beyond the standard Dirac phase factor (and that incorporates wave-function-phase-non-localities) and affects numerous results in the literature on extended arrangements with inhomogeneous magnetic fields. There seems to be a gauge-ambiguity remaining that has been over-looked in all previous works. The deep origin of this annoying feature is explained and it is shown that it can be removed when outside (remote) fluxes are properly quantized. This suggests natural ways to eliminate the artificial effect for confined systems, leading to quantization of macroscopic quantities in a wide range of systems of current interest. Examples include applications (i) to a spherical geometry, that leads to the standard Dirac quantization of magnetic monopoles, (ii) to a cylindrical configuration, by additionally invoking Axion Electrodynamics, that naturally leads to quantization of dyons (the Witten effect), as well as quantization of Witten current, leading in turn to the quantization of Hall conductance, either (a) in whole or (b) in half integral units of e2/h (corresponding to conventional Quantum Hall Effect systems and to exotic magneto-electric phenomena in topological insulators, respectively). Similar considerations with adjacent t-dependent electric fields lead to the possibility of manufacturing of interesting quantum devices (that induce Integral Quantum Hall Effect and other topological phenomena in novel time-dependent ways from outside the system).

Biography :

Email: cos@ucy.ac.cy