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

TL;DR

This paper demonstrates that coupling between chains in a charge density wave model enables soliton transport across barriers, drawing an analogy with the Bogomil'nyi inequality and false vacuum concepts.

Contribution

It introduces a coupled-chain model with Peierls energy that facilitates soliton transport, extending previous Schwinger model limitations and linking to topological soliton formation theories.

Findings

Coupled chains enable soliton transport across pinning gaps.

Simulation shows insufficiency of the massive Schwinger model alone.

Analogies are drawn between the model and false vacuum theories.

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