Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Physical review. B./Physical review. B

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

Andrea Ponticelli, Francesco Giuseppe Capone, V. Cataudella, G. De Filippis, ANTONIO DE CANDIA, C. A. Perroni

Published Jul 30, 2026• 0 citations
Publisher
DOI
10.1103/jbz7-l9h4

Related papers

Multiple Quantum Phase Transitions in a two-dimensional superconductor

N. Bergeal, Johan Biscaras, Simon Hurand +6 more

Bulletin of the American Physical Society•Mar 21, 2013•0 citations

Influence of thermal phase fluctuations on the spectral function for a two-dimensional d -wave superconductor

Maxim Khodas, Alexei M. Tsvelik

We study the spectral function of a two-dimensional superconductor in a regime of strong phase fluctuations. Although the developed approach is valid for any symmetry, we concentrate on $d$-wave superconductors. We obtain analytical expressions for the single electron Green's function below the transition temperature and have worked out a way to extrapolate it for a finite temperatures above ${T}_{c}$. The suggested approach is easily generalizable for other models with critical fluctuations.

arXiv:0910.3967•Physical Review B•Mar 15, 2010•11 citations

Quantum phase transitions and non-uniform phases in low-dimensional superconductors

Wei Zhang, Carlos A. R. Sá de Melo

Bulletin of the American Physical Society•Mar 24, 2005•0 citations

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

Andrea Ponticelli, Francesco Giuseppe Capone, V. Cataudella +3 more

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.

arXiv:2512.20476•Dec 23, 2025•0 citations

Thermally fluctuating superconductors in two dimensions

Subir Sachdev A, Oleg A. Starykh

arXiv:cond-mat/9904354•Nature•May 1, 2000•12 citations

SUPERCONDUCTOR-INSULATOR TRANSITIONS

Allen M. Goldman

Superconductor-insulator transitions, especially in thin films, can provide the simplest examples of the continuous quantum phase transition paradigm. Quantum phase transitions differ from thermal phase transitions in that they occur at zero temperature when the ground state of a system is changed in response to a variation of an external parameter of the Hamiltonian. In the example of the superconductor-insulator transition, this control parameter could be the parallel or perpendicular magnetic field, disorder, or charge density. Quantum phase transitions are studied through measurements at nonzero temperature of physical behaviors influenced by the quantum fluctuations associated with the transition. This review will focus on experimental aspects of superconductor-insulator transition in disordered films that are effectively two-dimensional. In particular, the evidence for quantum critical behavior in the various types of transitions will be presented. The various theoretical scenarios for the transitions will also be discussed along with the extent to which they are supported by experiment. Open questions relating to the nature of the very puzzling insulating regime and whether there are many different types of superconductor-insulator transitions will be presented. Although this research area is more than 20 years old, rather central issues are not resolved.

International Journal of Modern Physics B•Aug 30, 2010•137 citations
We study the spectral function of a two-dimensional superconductor in a regime of strong phase fluctuations. Although the developed approach is valid for any symmetry, we concentrate on ddd-wave superconductors. We obtain analytical expressions for the single electron Green's function below the transition temperature and have worked out a way to extrapolate it for a finite temperatures above Tc{T}_{c}Tc​. The suggested approach is easily generalizable for other models with critical fluctuations.
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.
Superconductor-insulator transitions, especially in thin films, can provide the simplest examples of the continuous quantum phase transition paradigm. Quantum phase transitions differ from thermal phase transitions in that they occur at zero temperature when the ground state of a system is changed in response to a variation of an external parameter of the Hamiltonian. In the example of the superconductor-insulator transition, this control parameter could be the parallel or perpendicular magnetic field, disorder, or charge density. Quantum phase transitions are studied through measurements at nonzero temperature of physical behaviors influenced by the quantum fluctuations associated with the transition. This review will focus on experimental aspects of superconductor-insulator transition in disordered films that are effectively two-dimensional. In particular, the evidence for quantum critical behavior in the various types of transitions will be presented. The various theoretical scenarios for the transitions will also be discussed along with the extent to which they are supported by experiment. Open questions relating to the nature of the very puzzling insulating regime and whether there are many different types of superconductor-insulator transitions will be presented. Although this research area is more than 20 years old, rather central issues are not resolved.