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The quest to manipulate and understand superconductivity demands exploring diverse materials and unconventional behaviors. Here, we investigate the BKT transition in synthesized ReN$_x$ thin films, demonstrating their emergence as a…

Superconductivity · Physics 2024-01-24 Kosuke Takiguchi , Yoshiharu Krockenberger , Yoshitaka Taniyasu , Hideki Yamamoto

In the past decades considerable efforts have been made in order to understand the critical features of both classical and quantum long-range interacting models. The case of the Berezinskii-Kosterlitz-Thouless (BKT) universality class, as…

Statistical Mechanics · Physics 2023-11-17 Guido Giachetti , Andrea Trombettoni , Stefano Ruffo , Nicolò Defenu

We consider a two-component Bose gas in two dimensions at low temperature with short-range repulsive interaction. In the coexistence phase where both components are superfluid, inter-species interactions induce a nondissipative drag between…

Quantum Gases · Physics 2019-07-10 Volker Karle , Nicolo Defenu , Tilman Enss

We perform Monte Carlo simulations to study the two dimensional random-bond XY model on a square lattice. Two kinds of bond randomness with the coupling coefficient obeying the Gaussian or uniform distribution are discussed. It is shown…

Statistical Mechanics · Physics 2022-03-23 Yi-Bo Deng , Qiang Gu

We present a theoretical study of the finite-temperature Kosterlitz-Thouless (KT) and vortex-antivortex lattice (VAL) melting transitions in two-dimensional Fermi gases with $p$- or $d$-wave pairing. For both pairings, when the interaction…

Quantum Gases · Physics 2017-12-27 Gaoqing Cao , Lianyi He , Xu-Guang Huang

We propose a two-dimensional hard-core loop-gas model as a way to regularize the asymptotically free massive continuum quantum field theory that emerges at the Berezinskii-Kosterlitz-Thouless transition. Without fine-tuning, our model can…

High Energy Physics - Lattice · Physics 2025-02-18 Sandip Maiti , Debasish Banerjee , Shailesh Chandrasekharan , Marina K. Marinkovic

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

In the presence of the phase fluctuations in superconducting nanowires array, the electrical resistance of the superconducting nanowires is always non-zero unless the system undergoes Berezinskii-Kosterlitz-Thouless (BKT) transition where…

Superconductivity · Physics 2021-07-27 C. H. Wong , Raymond P. H. Wu , X. Lei , A. F. Zatsepin

We construct a local interacting quantum dimer model on the square lattice, whose zero-temperature phase diagram is characterized by a line of critical points separating two ordered phases of the valence bond crystal type. On one side, the…

Strongly Correlated Electrons · Physics 2007-05-23 Claudio Castelnovo , Claudio Chamon , Christopher Mudry , Pierre Pujol , .

We analyse the Bose-Einstein condensation process and the Berezinskii-Kosterlitz-Thouless phase transition within the Gross-Pitaevskii model and their interplay with wave turbulence theory. By using numerical experiments we study how the…

Fluid Dynamics · Physics 2014-07-28 Sergey Nazarenko , Miguel Onorato , Davide Proment

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

We study the one-dimensional Bose-Hubbard model describing the superfluid-Mott insulator quantum phase transition of cold atoms in optical lattices. We show that derivatives of the variance of the on-site atom number occupation, computed…

Quantum Gases · Physics 2021-10-12 Mateusz Łącki , Bogdan Damski

Using a formalism based on the two-body S-matrix we study two-dimensional Bose and Fermi gases with both attractive and repulsive interactions. Approximate analytic expressions, valid at weak coupling and beyond, are developed and applied…

Quantum Gases · Physics 2017-07-18 Guilherme Franca , Andre LeClair , Joshua Squires

The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clock model on the square lattice are investigated by means of the corner-transfer matrix renormalization group method. A classical analog of the entanglement entropy…

Statistical Mechanics · Physics 2023-06-27 Roman Krčmár , Andrej Gendiar , Tomotoshi Nishino

We investigate the general features of the renormalization-group flow at the Berezinskii-Kosterlitz-Thouless (BKT) transition, providing a thorough quantitative description of the asymptotc critical behavior, including the multiplicative…

Statistical Mechanics · Physics 2013-03-19 Andrea Pelissetto , Ettore Vicari

We investigate the center-of-mass momentum distribution $n_{\boldsymbol Q}$ of Cooper pairs and their first-order correlation function $g_1(r)$ in a strongly interacting two-dimensional Fermi gas. Recently, the BKT…

Quantum Gases · Physics 2016-01-27 Morio Matsumoto , Daisuke Inotani , Yoji Ohashi

It has been believed that the superinsulating state which is the low-temperature charge Berezinskii-Kosterlitz- Thouless (BKT) phase can exist only in two dimensions. We develop a general gauge description of the su- perinsulating state and…

Strongly Correlated Electrons · Physics 2018-10-31 M. Cristina Diamantini , Luca Gammaitoni , Carlo A. Trugenberger , Valerii M. Vinokur

Monolayers of a prototypical cuprate high transition-temperature ($T_C$) superconductor $Bi_2Sr_2CaCu_2O_{8+\delta}$ (Bi2212) was recently found to show $T_C$ and other electronic properties similar to those of the bulk. The robustness of…

We investigate quantum phase transitions in a topological Josephson junction with an embedded ferromagnetic layer, revealing a rich landscape of critical phenomena. The low-energy excitations comprise Majorana fermions propagating along the…

Mesoscale and Nanoscale Physics · Physics 2025-05-26 Adrian Reich , Dmitriy S. Shapiro , Alexander Shnirman

We have made a detailed study of the phase structure for lattice Schwinger model with one flavor of Wilson fermion on the $(m,g)$ plane. For numerical investigation, we develop a decorated tensor renormalization method for lattice gauge…

High Energy Physics - Lattice · Physics 2018-02-14 Yuya Shimizu , Yoshinobu Kuramashi