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Making an analogy between a multi chain interaction in charge density wave transport and the use of the Bogomil'nyi inequality to form soliton - anti soliton pairs

A. W. Beckwith
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Abstract

First we show through a simulation that a massive Schwinger model used to formulate solutions to charge density wave transport is in itself insufficient for transport of solitons (anti solitons) through a pinning gap model of charge density wave transport. We show that a model Hamiltonian with Peierls condensation energy used to couple adjacent chains (or transverse wave vectors ) permits formation of solitons (anti solitons) which could be used to transport charge density waves through a potential barrier . We argue that there are analogies between this construction and the false vacuum hypothesis used for showing a necessary and sufficient condition for formation of charge density wave soliton - anti soliton pairs in wave functionals presented in a prior publication via use of the Bogomil'nyi inequality

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A. W. Beckwith. 2005-07-17. Making an analogy between a multi chain interaction in charge density wave transport and the use of the Bogomil'nyi inequality to form soliton - anti soliton pairs. https://arxiv.org/abs/math-ph/0408009

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