Vanishing conductivity of quantum solitons in polyacetylene

Physics – High Energy Physics – High Energy Physics - Theory

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To appear in J. Phys. A: Math. Theor., 15 pages

Scientific paper

10.1088/1751-8113/42/5/055401

Quantum solitons or polarons are supposed to play a crucial role in the electric conductivity of polyacetylene, in the intermediate doping regime. We present an exact fully quantized calculation of the quantum soliton conductivity in polyacetylene and show that it vanishes exactly. This is obtained by applying a general method of soliton quantization, based on order-disorder duality, to a Z(2)-symmetric complex extension of the TLM dimerization effective field theory. We show that, in this theory, polyacetylene solitons are sine-Gordon solitons in the phase of the complex field.

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