Universal Journal of Physics and Application Vol. 7(4), pp. 361 - 369
DOI: 10.13189/ujpa.2013.010401
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Making an Analogy between a Multi Chain Interaction in CDW Transport and Wave Functionals to Form S-S’ Pairs


A. W. Beckwith *
Department of Physics, Chongqing University, PRC, 400044

ABSTRACT

First, we show through a numerical simulation that the massive Schwinger model used to formulate solutions to CDW transport in itself is insufficient for transport of solitons (anti-solitons) through a pinning gap model of CDW 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 CDW through a potential barrier. We argue there are analogies between this construction and the false vacuum hypothesis for showing a necessary and sufficient condition for formation of CDW soliton – anti - soliton (S-S’) pairs in wave functionals This can be established via either use of the Bogomil'nyi inequality or maybe an experimental artifact which is due to the false vacuum hypothesis to obtain a ‘distance between the S-S’ ‘charge centers’.

KEYWORDS
Bogomil'nyi Inequality, CDW, Pinning Gap, Solitons (Anti-Solitons)

Cite this paper
A. W. Beckwith . "Making an Analogy between a Multi Chain Interaction in CDW Transport and Wave Functionals to Form S-S’ Pairs." Universal Journal of Physics and Application 7.4 (2013) 361 - 369. doi: 10.13189/ujpa.2013.010401.