Vanishing conductivity of quantum solitons in polyacetylene

Abstract

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.

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

References in corpus (4)

• Equivalence of the sine-Gordon and massive Thirring models at finite temperature
• Sine-Gordon/Coulomb Gas Soliton Correlation Functions and an Exact Evaluation of the Kosterlitz-Thouless Critical Exponent
• Exact Asymptotic Behaviour of Fermion Correlation Functions in the Massive Thirring Model
• Dual Bosonic Thermal Green Function and Fermion Correlators of the Massive Thirring Model at a Finite Temperature

Cited by in corpus (4)

• Superconducting and excitonic quantum phase transitions in doped systems with Dirac electrons
• The Rise of Solitons in Sine-Gordon Field Theory: From Jacobi Amplitude to Gudermannian Function
• Polaron formation as a genuine nonequilibrium phenomenon
• Thermal soliton correlation functions in theories with a Z(N) symmetry