Applied Physics and Mathematics Annotation << Back CALCULATION OF THE TOPOLOGICAL INDEX OF A QUASI-TWO-DIMENSIONAL SUPERCONDUCTING SYSTEM TAKING INTO ACCOUNT THERMAL FLUCTUATIONS A.G. GROSHEV, A.K. ARZHNIKOV A method for calculating the topological index (TI) characterizing the topological properties of superconducting phases of quasi-two-dimensional systems with nontrivial topology is proposed. The proposed method is based on the self-consistent theory of continuous integration. It allows us to take into account thermal fluctuations in these phases and investigate the topological stability of the system at finite temperatures and various parameters. Keywords: low-dimensional systems, thermal fluctuations, topological invariants, topological superconductivity, Green’s function, Kubo formula. DOI: 10.25791/pfim.04.2023.1264 Pp. 13-17.