Authors: Andrew Beckwith
We show that the classical random pinning model, if simulated numerically using a phase evolution scheme pioneered by Littlewood, gives dispersion relationships that are inconsistent with experimental values near threshold. These results suggest the need for a revision of contemporary classical models of charge density wave transport phenomena. Classical phase evolution equations have the same form as driven harmonic oscillators. We provide a different formulation of charge density transport using a tunneling Hamiltonian, motivated by Sidney Colemans’s false vacuum hypothesis, to model solition anti-soliton pair transport through a pinning gap. We thereby derive an analytical expression for charge density wave transport that agrees with experimental data both above and below the threshold field.
Comments: 34 Pages.
[v1] 2016-02-21 03:55:08
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