The geometry of induced currents in two-dimensional media
Cesar S. Lopez-Monsalvo,
Servando Vargas-Serdio,
Julian A. Alzate-Cardenas
et al.
Abstract:We present a framework that allows us to clearly identify the geometric features underlying the phenomenon of superconductivity in two-dimensional materials. In particular, we show that any such medium whose response to an externally applied electromagnetic field is a geodesically flowing induced current, must be a superconductor. In this manner, we conclude that the underlying geometry of this type of media is that of a Lorentzian contact manifold. Moreover, we show that the macroscopic hallmark of their supe… Show more
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