Abstract
The free energy of condensed matter systems containing fermions coupled to small topological solitons is investigated. The exactly soluble continuum model of polyacetylene, with a hyperbolic tangent soliton profile, is shown to yield non-analytic terms in the free energy of the form lambda n In lambda where lambda is a parameter proportional to the size of the soliton. A representation of the free energy that is suitable for a small lambda -expansion is derived for general soliton profiles. The non-analytic expansion of the free energy about lambda =0 is found for a general soliton profile for the case of zero temperature.
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