2012/09/02 by A. Ya. Braginsky, Braginsky, A. Ya.
Physics and Astronomy · #Crystallography and Radiation Phenomena #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum Mechanics and Non-Hermitian Physics #Superconductivity (cond-mat.supr-con) #Topological Materials and Phenomena #cond-mat.other #cond-mat.supr-con
paper · pdf · doi:10.48550/arxiv.1209.0214
openalex publication_date 2012/09/02 · arxiv created 2015/08/05 · arxiv updated 2015/08/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study inhomogeneous states with local translation symmetry, described by the order parameter (OP) with local transformation properties k=k(X). It is shown that in the OP extended derivative we should consider compensating field which is equivalent to the distortion tensor. The definition of the phonon potential as a 4-distortion tensor is given and equations of motion of a particle in a phonon field are obtained. We construct the Ginzburg-Landau potential, which clearly describes the electron-phonon interaction and gives the correct definition of the quantum of magnetic flux without doubling the phenomenological charge interaction. The description of the states with the d-symmetry of the wave superconducting gap by the lowsymmetric solutions is suggested, in which the inversion of space-time is not equivalent to the OP complex conjugation. A comparative analysis of the nonlinear Landau theory with the compensating field distortion and the Kadić-Edelen linear gauge theory of dislocations is performed. It was demonstrated that the minimal interaction is a consequence of local wave properties of OP, which is consistent with the basic principles of quantum mechanics.