Effect of thermal fluctuations on topological crossover in the chiral d+id superconducting phase

Fuente: arXiv
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Auteurs principaux: Groshev, A. G., Arzhnikov, A. K.
Format: Preprint
Publié: 2025
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author Groshev, A. G.
Arzhnikov, A. K.
author_facet Groshev, A. G.
Arzhnikov, A. K.
contents The effect of thermal fluctuations on the temperature dependence of the topological index C1 of the chiral d+id superconducting phase of a two-dimensional single-band model on a triangular lattice is investigated. Thermal fluctuations are taken into account within the framework of the self-consistent functional-integral theory. It is established that when the nodal points are located far inside (outside) the Fermi contour of the normal phase, thermal fluctuations expand the relative temperature ranges in which the values of the topological index are close to integer values C1=4(-2). This expansion depends both on the value of the topological index and on the magnitude of the effective attraction between the electrons. However, as the nodal points approach the Fermi contour, topological crossovers to new C1 values are observed, which can persist over a wide temperature range. The nature and degree of influence of thermal fluctuations on these crossovers are established. It is assumed that the observed effects may also manifest in the edge state behavior of a similar system with open boundaries.
format Preprint
id arxiv_https___arxiv_org_abs_2512_08527
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Effect of thermal fluctuations on topological crossover in the chiral d+id superconducting phase
Groshev, A. G.
Arzhnikov, A. K.
Superconductivity
The effect of thermal fluctuations on the temperature dependence of the topological index C1 of the chiral d+id superconducting phase of a two-dimensional single-band model on a triangular lattice is investigated. Thermal fluctuations are taken into account within the framework of the self-consistent functional-integral theory. It is established that when the nodal points are located far inside (outside) the Fermi contour of the normal phase, thermal fluctuations expand the relative temperature ranges in which the values of the topological index are close to integer values C1=4(-2). This expansion depends both on the value of the topological index and on the magnitude of the effective attraction between the electrons. However, as the nodal points approach the Fermi contour, topological crossovers to new C1 values are observed, which can persist over a wide temperature range. The nature and degree of influence of thermal fluctuations on these crossovers are established. It is assumed that the observed effects may also manifest in the edge state behavior of a similar system with open boundaries.
title Effect of thermal fluctuations on topological crossover in the chiral d+id superconducting phase
topic Superconductivity
url https://arxiv.org/abs/2512.08527