A New S-S' Pair Creation Rate Expression Improving Upon Zener Curves for I-E Plots

TL;DR

This paper introduces a novel S-S' pair creation rate expression that enhances the modeling of I-E plots in charge density wave transport, aligning well with experimental Zener curves and theoretical pair production models.

Contribution

It presents a new rate expression for S-S' pair creation that improves upon traditional Zener curve fits for I-E plots in CDW transport modeling.

Findings

New rate expression aligns with experimental Zener curves

Wavefunctional approach matches pair production models

Supports Bardeen pinning gap paradigm

Abstract

To simplify phenomenology modeling used for charge density wave (CDW)transport, we apply a wavefunctional formulation of tunneling Hamiltonians to a physical transport problem characterized by a perturbed washboard potential. To do so, we consider tunneing between states that are wavefunctionals of a scalar quantum field. I-E curves that match Zener curves - used to fit data experimentally with wavefunctionals congruent with the false vacuum hypothesis. This has a very strong convergence with electron-positron pair production representations.The similarities in plot behavior of the current values after the threshold electric field values argue in favor of the Bardeen pinning gap paradigm proposed for quasi-one-dimensional metallic transport problems.