Análise da dinâmica de vórtices em supercondutores para a detecção de perturbações gravitacionais

Abstract

In 2017, Victor Atanasov proposed [Phys. B, 517, 53, (2017)] a coupling between the superconducting order parameter and the geometry of the space-time. In his work, Atanasov proposed that the space-time curvature in a specific region would act as an effective chemical potential, fact that can change the behavior of the superconductors. The main idea consists in an extension of the already well-known and acclaimed Ginzburg-Landau theory (GL), where, in the free energy expression that describes the superconducting system, an additional term is included to describe the coupling between the superconducting order parameter and the curvature associated with the local gravitational field. The geometry of the space-time then appears as an extra term for the energy in the sample. This idea is similar to the proposal made by Verbin [Phys. Rev. D, 59, 105015, (1999)], based on the Abelian-Higgs field theory. Knowing the high sensitivity and response to external perturbation in superconducting materials, which are widely used as devices for detecting electromagnetic variances and based on Atanasov’s proposal, we seek to analyze the time-dependent vortex dynamics in superconducting systems to search for effects on the material due to the local space-time geometry. This procedure was done in two steps, the first one was the adaptation of the time-dependent Ginzburg-Landau equations (TDGL) to the non-minimum Atanasov coupling between the order parameter and the geometry. Then, the simulation for the superconducting material applied to our problem.