Condensed Matter


Toward a Mininum Criteria of Multi Dimensional Instanton Formation for Condensed Matter Systems?

Authors: Andrew Beckwith

We present near the end of this document a promising research direction as to how to generalize a technique initially applied to density wave current calculations to questions of instanton formation in multi dimensional condensed matter systems. Initially we review prior calculations done through a numerical simulation that the massive Schwinger model used to formulate solutions to CDW transport in itself is insufficient for transport of soliton-antisoliton (S S') pairs through a pinning gap model of CDW transport. Using the Peierls condensation energy permits formation of CDW S S' pairs in wave functionals. This leads us to conclude that if there is a small spacing between soliton-antisoliton (S S') charge centers, and an approximate fit between a tilted washboard potential and the system we are modeling, that instantons are pertinent to current/transport problems. This requires a very large 'self energy' final value of interaction energy as calculated between positive and negative charged components of soliton-antisoliton (S S') pairs with Gaussian wave functionals as modeled for multi dimensional systems along the lines of Lu's generalization given below. The links to a saddle point treatment of this instanton formation are make explicit by a comment as to a cosmology variant of instanton formation in multi dimensions we think is, with slight modifications appropriate for condensed matter systems

Comments: 23 pages, extension of "NEW S-S' PAIR CREATION RATE EXPRESSION IMPROVING UPON ZENER CURVES FOR I-E PLOTS; Modern Physics Letters B, Vol. 20, No. 14 (2006) 849-861", as written by the authors, with a so called 'minimum criterion' for formation of instanton structure in condensed matter systems. which the author eventually will send to a condensed matter journal. Has eight figures. Key part of text on pages 21-23, as discussion built about 7th and final question as to applications of false vacuum hypothesis, and instanton physics for condensed matter systems.

Download: PDF

Submission history

[v1] 28 Sep 2009

Unique-IP document downloads: 126 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus