Statistics of charged solitons and formation of stripes

Details Statistics of charged solitons and formation of stripes Statistics of charged solitons and formation of stripes

2001-12-06

arxiv.org/abs/cond-mat/0112081v2

J. Phys.: Condens. Matter, 13 (2001) 4015

Physics

Condensed Matter

Statistical Mechanics

16 pages, 7 figures

Scientific paper

10.1088/0953-8984/13/18/311

The 2-fold degeneracy of the ground state of a quasi-one-dimensional system allows it to support topological excitations such as solitons. We study the combined effects of Coulomb interactions and confinement due to interchain coupling on the statistics of such defects. We concentrate on a 2D case which may correspond to monolayers of polyacetylene or other charge density waves. The theory is developped by a mapping to the 2D Ising model with long-range 4-spin interactions. The phase diagram exhibits deconfined phases for liquids and Wigner crystals of kinks and confined ones for bikinks. Also we find aggregated phases with either infinite domain walls of kinks or finite rods of bikinks. Roughening effects due to both temperature and Coulomb repulsion are observed. Applications may concern the melting of stripes in doped correlated materials.

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