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Normal-metal films overlaid with arrays of superconducting islands undergo Berezinskii-Kosterlitz-Thouless (BKT) superconducting transitions at a temperature $T_{BKT}$. We present measurements of T$_{BKT}$ for arrays of mesoscopic Nb…

Superconductivity · Physics 2015-12-17 Serena Eley , Sarang Gopalakrishnan , Paul M. Goldbart , Nadya Mason

Recent experiments on 2D superconductors allow the characterization of the critical temperature and of the phase diagram across the BCS-BEC crossover as a function of density. We obtain from these experiments the microscopic parameters of…

Superconductivity · Physics 2025-01-14 Giovanni Midei , Koichiro Furutani , Luca Salasnich , Andrea Perali

The quantum XY model shows a Berezinskii-Kosterlitz-Thouless (BKT) transition between a phase with quasi long-range order and a disordered one, like the corresponding classical model. The effect of the quantum fluctuations is to weaken the…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Luca Capriotti , Alessandro Cuccoli , Andrea Fubini , Valerio Tognetti , Ruggero Vaia

We propose an explanation of the superconducting transitions discovered in the heavy fermion superlattices by Mizukami et al. (Nature Physics 7, 849 (2011)) in terms of Berezinskii-Kosterlitz-Thouless transition. We observe that the…

Strongly Correlated Electrons · Physics 2012-08-20 Jian-Huang She , Alexander V. Balatsky

We investigate transition to the superconducting state in the ultrathin titanium nitride films on approach to superconductor-insulator transition. Building on the complete account of quantum contributions to conductivity, we demonstrate…

Superconductivity · Physics 2012-02-07 T. I. Baturina , S. V. Postolova , A. Yu. Mironov , A. Glatz , M. R. Baklanov , V. M. Vinokur

The celebrated Berezinskii-Kosterlitz-Thouless (BKT) phase transition refers to a topological transition characterized, e.g., by the dissociation of vortex-antivortex pairs in two-dimensional (2D) systems. Such unusual phase has been…

Materials Science · Physics 2020-06-02 Changsong Xu , Yousra Nahas , Sergei Prokhorenko , Hongjun Xiang , L. Bellaiche

We investigate the possibility that Bose-Einstein condensates (BECs), loaded on a 2D optical lattice, undergo - at finite temperature - a Berezinskii-Kosterlitz-Thouless (BKT) transition. We show that - in an experimentally attainable range…

Statistical Mechanics · Physics 2009-11-10 A. Trombettoni , A. Smerzi , P. Sodano

We consider the interacting helical liquid system at the one-dimensional edge of a two-dimensional topological insulator, coupled to an external magnetic field and s-wave superconductor and map it to an XYZ spin chain system. This model…

Statistical Mechanics · Physics 2021-01-18 Ranjith Kumar R , Rahul S , Surya Narayan , Sujit Sarkar

Long-range and anisotropic dipolar interactions induce complex order in quantum systems. It becomes particularly interesting in two-dimension (2D), where the superfluidity with quasi-long-range order emerges via…

Quantum Gases · Physics 2025-10-14 Yifei He , Ziting Chen , Haoting Zhen , Mingchen Huang , Mithilesh K Parit , Gyu-Boong Jo

We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit to clarify the critical properties of the $q$-state clock model on the square lattice. We determine accurately the two phase transition…

Statistical Mechanics · Physics 2020-07-01 Zi-Qian Li , Li-Ping Yang , Z. Y. Xie , Hong-Hao Tu , Hai-Jun Liao , T. Xiang

We present a study of the Berezinskii-Kosterlitz-Thouless (BKT) transition in mildly disordered NbN nanoporous (NP) films. The measured superfluid stiffness, Js, is found to be much lower than that predicted by considering the reduction in…

Superconductivity · Physics 2024-10-31 A. Verma , R. Vedin , J. Jesudasan , J. Lidmar , I. Maccari , S. Bose

Superconducting nanofilms are tunable systems that can host a 3D-2D dimensional crossover, leading to the Berezinskii-Kosterlitz-Thouless (BKT) superconducting transition approaching the 2D regime. Reducing further the dimensionality, from…

The superconductor-insulator transition of ultrathin films of bismuth, grown on liquid helium cooled substrates, has been studied. The transition was tuned by changing both film thickness and perpendicular magnetic field. Assuming that the…

Superconductivity · Physics 2007-05-23 N. Markovic , C. Christiansen , A. M. Mack , W. H. Huber , A. M. Goldman

We study quantum geometric contributions to the Berezinskii-Kosterlitz-Thouless (BKT) transition temperature, $T_{\mathrm{BKT}}$, in the presence of fluctuations beyond BCS theory. Because quantum geometric effects become progressively more…

Superconductivity · Physics 2020-11-06 Zhiqiang Wang , Gaurav Chaudhary , Qijin Chen , K. Levin

The occurrence of the Berezinskii-Kosterlitz-Thouless (BKT) transition is investigated in heavily boron-doped nanocrystalline diamond films through a combination of current-voltage and resistance measurements. We observe a robust BKT…

Superconductivity · Physics 2017-06-08 Christopher Coleman , Somnath Bhattacharyya

We study $q$-state clock models of regular and Villain types with $q=5,6$ using cluster-spin updates and observed double transitions in each model. We calculate the correlation ratio and size-dependent correlation length as quantities for…

Statistical Mechanics · Physics 2019-08-01 Tasrief Surungan , Shunsuke Masuda , Yukihiro Komura , Yutaka Okabe

Superconductivity of YBa$_2$Cu$_3$O$_{7-\delta}$ single crystals was investigated in small magnetic fields. In magnetic measurements the superconducting transition for $\textbf{H} \| c$ appears 0.4 K higher than for $\textbf{H} \bot c$. In…

Superconductivity · Physics 2019-11-13 V. I. Nizhankovskiy , K. Rogacki

We consider the two-dimensional classical XY model on a square lattice in the thermodynamic limit using tensor renormalization group and precisely determine the critical temperature corresponding to the Berezinskii-Kosterlitz-Thouless (BKT)…

High Energy Physics - Lattice · Physics 2020-08-07 Raghav G. Jha

We develop a gauge theory of the critical behavior of the topological excitations-driven Berezinskii-Kosterlitz-Thouless (BKT) phase transition in the XY model with weak quenched disorder. We find that while in two-dimensions the liquid of…

Statistical Mechanics · Physics 2018-01-11 M. G. Vasin , V. N. Ryzhov , V. M. Vinokur

Any state of matter is classified according to its order, and the kind of order a physical system can posses is profoundly affected by its dimensionality. Conventional long-range order, like in a ferromagnet or a crystal, is common in…

Other Condensed Matter · Physics 2016-08-16 Zoran Hadzibabic , Peter Krüger , Marc Cheneau , Baptiste Battelier , Jean B. Dalibard