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Berezinskii-Kosterlitz-Thouless (BKT) transition, the transition of the 2D sine-Gordon model, plays an important role in the low dimensional physics. We relate the operator content of the BKT transition to that of the SU(2)…

Statistical Mechanics · Physics 2008-11-26 Kiyohide Nomura , Atsuhiro Kitazawa

Phase diagrams and electronic transport properties of the helical states in purely two-dimensional (2D) Rashba superconductors coupled with in-plane Zeeman fields are studied. The continuum XY action is derived microscopically by…

Superconductivity · Physics 2025-03-17 Naratip Nunchot , Youichi Yanase

Strongly disordered superconducting films have been observed to undergo finite temperature transitions to a superinsulating state, of apparently infinite resistance, mirroring superconductivity. Approaching the transition, some of the films…

Superconductivity · Physics 2018-01-31 Sarath Sankar , Valerii Vinokur , Vikram Tripathi

The Berezinskii-Kosterlitz-Thouless (BKT) transition is expected to have a clear signature on the specific heat. The singularity at the transition temperature $T_{BKT}$ is predicted to be immeasurable, and a broad non-universal peak is…

Superconductivity · Physics 2020-01-22 T. D. Nguyen , A. Frydman , O. Bourgeois

We study the properties of a quantum critical point which develops in a BCS superconductor when pair-breaking suppresses the transition temperature to zero. The pair fluctuations are characterized by a dynamical critical exponent z=2.…

Condensed Matter · Physics 2009-10-30 Revaz Ramazashvili , Piers COleman

We systematically investigated the low-temperature transport properties of a series of NbN epitaxial films with thickness $t$ ranging from $\sim$2.0 to $\sim$4.0 nm. The films undergo a superconductor-insulator transition (SIT) with…

Superconductivity · Physics 2023-06-07 Tian-Yu Jing , Zi-Yan Han , Zhi-Hao He , Ming-Xin Shao , Peng Li , Zhi-Qing Li

One of the most relevant manifestations of the Beresinskii-Kosterlitz-Thouless transition occurs in quasi-two-dimensional superconducting systems. The experimental advances made in the last decade in the investigation of superconducting…

Superconductivity · Physics 2017-08-23 L. Benfatto , C. Castellani , T. Giamarchi

The Berezinskii-Kostelitz-Thouless (BKT) transition is the paradigmatic example of a topological phase transition without symmetry-breaking, where a quasi-ordered phase, characterized by a power law scaling of the correlation functions at…

Statistical Mechanics · Physics 2021-10-14 Guido Giachetti , Nicolo Defenu , Stefano Ruffo , Andrea Trombettoni

The Berezinskii-Kosterlitz-Thouless (BKT) transition in ultra-thin NbN films is investigated in the presence of weak perpendicular magnetic fields. A jump in the phase stiffness at the BKT transition is detected up to 5 G, while the BKT…

We present a comprehensive investigation of the Berezinskii-Kosterlitz-Thouless (BKT) transition in ultrathin strongly disordered NbN films. Measurements of resistance, current-voltage characteristics and kinetic inductance on the very same…

The correct detection of the Berezinskii-Kosterlitz-Thouless (BKT) transition in quasi-two-dimensional superconductors still remains a controversial issue. Its main signatures, indeed, are often at odds with the theoretical expectations. In…

Superconductivity · Physics 2018-05-08 Ilaria Maccari , Lara Benfatto , Claudio Castellani

A number of two-dimensional(2D) critical phenomena can be described in terms of the 2D sine-Gordon model. With the bosonization, several 1D quantum systems are also transformed to the same model. However, the transition of the 2D…

Condensed Matter · Physics 2009-10-28 Kiyohide Nomura

As the spin-triplet superconductivity arises from the condensation of spinful Cooper pairs, its full characterization requires not only charge ordering, but also spin ordering. For a two-dimensional (2D) easy-plane spin-triplet…

Superconductivity · Physics 2024-01-24 Suk Bum Chung , Se Kwon Kim

The Berezinskii-Kosterlitz-Thouless (BKT) mechanism, building upon proliferation of topological defects in 2D systems, is the first example of phase transition beyond the Landau-Ginzburg paradigm of symmetry breaking. Such a topological…

Strongly Correlated Electrons · Physics 2020-11-09 Ze Hu , Zhen Ma , Yuan-Da Liao , Han Li , Chunsheng Ma , Yi Cui , Yanyan Shangguan , Zhentao Huang , Yang Qi , Wei Li , Zi Yang Meng , Jinsheng Wen , Weiqiang Yu

We reveal the key role of the $d$-wave symmetry of the superconducting gap in strongly coupled two-dimensional superconductors in determining the properties of the Berezinskii-Kosterlitz-Thouless (BKT) transition, associated with a sizable…

Superconductivity · Physics 2025-11-21 Sathish Kumar Paramasivam , Andrea Perali , Milorad V. Milošević

We prepare and study strongly interacting two-dimensional Bose gases in the superfluid, the classical Berezinskii-Kosterlitz-Thouless (BKT) transition, and the vacuum-to-superfluid quantum critical regimes. A wide range of the two-body…

Quantum Gases · Physics 2013-04-05 Li-Chung Ha , Chen-Lung Hung , Xibo Zhang , Ulrich Eismann , Shih-Kuang Tung , Cheng Chin

The Berezinskii-Kosterlitz-Thouless (BKT) phase transition is considered in the condition of lowest temperatures, when thermal fluctuations give place to quantum ones. For this goal, the critical dynamic of the Sine-Gordon model near the…

Statistical Mechanics · Physics 2021-04-23 Mikhail Vasin

Characterizing the superconducting and superfluid transitions in two-dimensional (2D) many-body systems is of broad interest and remains a fundamental issue. In this study, we establish the {\it condensate fraction} as a highly effective…

Strongly Correlated Electrons · Physics 2025-05-26 Yuan-Yao He

Two dimensional systems with U(1) symmetry exhibit a peculiar phase, i.e., the Berezinskii-Kosterlitz-Thouless (BKT) phase. In particular situations, the BKT phase exists as an intermediate temperature phase. There have been scenarios for…

Statistical Mechanics · Physics 2015-11-10 Masamichi Nishino , Seiji Miyashita

We investigate the Berezinskii-Kosterlitz-Thouless (BKT) transition in a semiconductor-superconductor two-dimensional Josephson junction array. Tuned by an electrostatic top gate, the system exhibits separate superconducting (S), anomalous…

Mesoscale and Nanoscale Physics · Physics 2025-10-22 C. G. L. Bøttcher , F. Nichele , J. Shabani , C. J. Palmstrøm , C. M. Marcus