Does CDW Physics Allow Ultra Fast Transitions, and Current vs. Applied Electric Field Values as Seen in Alaboratory Setting?

Abstract

We reference the tunneling Hamiltonian to have particle tunneling among different states represented as wave-functions. Our problem applies wave-functionals to a driven sine-Gordon system. We apply the tunneling Hamiltonian to charge density wave (CDW) transport problems where we consider tunneling among states that are wave-functionals of a scalar quantum field, i.e . derived I-E curves that match Zenier curves used to fit data experimentally with wave-functionals congruent with the false vacuum hypothesis. The open question is whether the coefficients picked in both wave-functionals and the magnitude of the coefficients of the driven sine-Gordon physical system are picked by topological charge arguments that appear to assign values consistent with the false vacuum hypothesis. Crucial results by Fred Cooper et al. allow a mature quantum foam interpretation of false vacuum nucleation for further refinement of our wave-functional results. In doing so, we give credence to topological arguments as a first order phase transition in CDW I-E curves.