Approximate calculation of the free energy of Fermi systems with topological solitons: soliton creation energy of polyacetylene

M Nakahara, D Waxman, G Williams
1991 Journal of Physics: Condensed Matter  
In this paper, we investigate an approximate technique for the calculation of the free energy of fermionic systems that are coupled to topological solitons. We apply this to a solvable onedimensional model field theory: plyacetylene in the static dimerization approximation. We estimate the free energy of solitons with various scales of spatial exten. sion and make comparisons with exact results. In an appendix. we make the connection between the high-temperature limit of our work and
more » ... work and Ginzburg-Landau theory. In this paper, we present an approximation we have developed for the free energyexpressed solely in terms of the appropriate order parameter, and hence generalizing the Ginzburg-Landanfreeenergyfor T == T,-(thetransition temperature) toanarbitrary t Permanent address: Physics Institute, Faculty of Liberal Arts, Shizuoka Universily, Shizuoka 422, Japan. 0953-8984'91/356743 t 14 $03.50
doi:10.1088/0953-8984/3/35/006 fatcat:gphzc2ygrrdl5mx3arjxuacksy