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

Abstract

A numerical simulation shows that a massive Schwinger model used to formulate solutions to charge density wave (CDW) transport is insufficient for transport of soliton- anti soliton pairs through a pinning gap model of CDW transport. However, a model Hamiltonian with Peierls condensation energy used to couple adjacent chains (or transverse wave vectors) permits formation of soliton - anti soliton pairs that could be used to transport CDW through a potential barrier. There are analogies between this construction and the false vacuum hypothesis used for showing a necessary and sufficient condition for wave functionals for formation of soliton - anti soliton pairs. This can be established by either use of the Bogomol'nyi inequality or through an experimental artifact resulting through use of the false vacuum hypothesis to obtain a proportional distance between the soliton - anti soliton pair charge centers

17 pages, 3 figures

References in corpus (1)

• Quantum Pair Creation of Soliton Domain Walls

Cited by in corpus (3)

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• An open question: Are topological arguments helpful in setting initial conditions for transport problems and quantization criteria/ quantum computing for Density Wave physics?