Quantum vs thermal fluctuations in phase transitions of two-dimensional superconductors

Fuente: arXiv
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Main Authors: Ponticelli, Andrea, Capone, Francesco Giuseppe, Cataudella, Vittorio, De Filippis, Giulio, De Candia, Antonio, Perroni, Carmine Antonio
Format: Preprint
Published: 2025
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_version_ 1866918261336047616
author Ponticelli, Andrea
Capone, Francesco Giuseppe
Cataudella, Vittorio
De Filippis, Giulio
De Candia, Antonio
Perroni, Carmine Antonio
author_facet Ponticelli, Andrea
Capone, Francesco Giuseppe
Cataudella, Vittorio
De Filippis, Giulio
De Candia, Antonio
Perroni, Carmine Antonio
contents We investigate the impact of quantum and thermal phase fluctuations on the suppression of superconducting order in two-dimensional systems. Within the two-dimensional quantum XY model in the phase representation, where on-site interaction terms govern quantum phase fluctuations, we perform extensive path-integral quantum Monte Carlo simulations. The resulting temperature-interaction phase diagram establishes the presence of a well-defined critical line ending at a quantum critical point at vanishing temperature with no indication of reentrant behavior. We further demonstrate that the resistance above the critical line reproduces the two expected different critical behaviors. For stronger interactions, above the quantum critical point, the system exhibits a crossover to an insulating regime at low temperatures. Finally, Monte Carlo calculations of current-current correlation functions enable us to extract the frequency-dependent conductivity in both superconducting and normal regimes, revealing a finite-frequency response that we attribute to quantum phase fluctuations.
format Preprint
id arxiv_https___arxiv_org_abs_2512_20476
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum vs thermal fluctuations in phase transitions of two-dimensional superconductors
Ponticelli, Andrea
Capone, Francesco Giuseppe
Cataudella, Vittorio
De Filippis, Giulio
De Candia, Antonio
Perroni, Carmine Antonio
Strongly Correlated Electrons
Superconductivity
82D55
We investigate the impact of quantum and thermal phase fluctuations on the suppression of superconducting order in two-dimensional systems. Within the two-dimensional quantum XY model in the phase representation, where on-site interaction terms govern quantum phase fluctuations, we perform extensive path-integral quantum Monte Carlo simulations. The resulting temperature-interaction phase diagram establishes the presence of a well-defined critical line ending at a quantum critical point at vanishing temperature with no indication of reentrant behavior. We further demonstrate that the resistance above the critical line reproduces the two expected different critical behaviors. For stronger interactions, above the quantum critical point, the system exhibits a crossover to an insulating regime at low temperatures. Finally, Monte Carlo calculations of current-current correlation functions enable us to extract the frequency-dependent conductivity in both superconducting and normal regimes, revealing a finite-frequency response that we attribute to quantum phase fluctuations.
title Quantum vs thermal fluctuations in phase transitions of two-dimensional superconductors
topic Strongly Correlated Electrons
Superconductivity
82D55
url https://arxiv.org/abs/2512.20476