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We construct a model of non-uniform condensate having a spatially modulated complex order parameter that makes it kinematically an x-ray solid, i.e., a real mass density wave, but one admitting an associated superfluid flow. Intrinsic to…

Statistical Mechanics · Physics 2007-05-23 N. Kumar

We calculate the temperature dependence of the first and second sound velocities in the superfluid phase of a 2D dilute Bose gas by solving Landau's two fluid hydrodynamic equations. We predict the occurrence of a significant discontinuity…

Quantum Gases · Physics 2014-01-21 Tomoki Ozawa , Sandro Stringari

The Kosterlitz-Thouless and the Hexatic phase transitions are celebrated examples of dipole (vortex, dislocation) induced transitions in condensed matter physics. For very clear reasons, these important ``topological" transitions are…

Statistical Mechanics · Physics 2025-07-16 Itamar Procaccia , Tuhin Samanta

The classical XY model has been consistently studied since it was introduced more than six decades ago. Of particular interest has been the two-dimensional spin model's exhibition of the Berezinskii-Kosterlitz-Thouless (BKT) transition.…

Computational Physics · Physics 2024-12-16 Brandon Willnecker , Mervlyn Moodley

We predict the occurrence of Bose-Einstein condensation and superfluidity of dipolar magnetoexcitons for a pair of quasi-two-dimensional spatially separated $\alpha$-${\cal T}_3$ layers. We have solved a two-body problem for an electron and…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 Yonatan Abranyos , Oleg L. Berman , Godfrey Gumbs

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how…

Quantum Gases · Physics 2013-07-01 Thierry Jolicoeur , Evgeni Burovski , Giuliano Orso

The Kosterlitz-Thouless phase transition is described by the nonperturbative renormalization flow of the two dimensional $\phi^4$-model. The observation of essential scaling demonstrates that the flow equation incorporates nonperturbative…

High Energy Physics - Theory · Physics 2009-10-31 G. v. Gersdorff , C. Wetterich

A numerical study of the neutral two-dimensional (2D) lattice Coulomb gas is performed to examine dynamic scaling, finite size effects, and the dynamic critical exponent $z$ of the Kosterlitz-Thouless-Berezinskii transition. By studying…

Superconductivity · Physics 2007-05-23 Louis Colonna-Romano , Stephen W. Pierson , Mark Friesen

With Monte Carlo methods we study the dynamic relaxation of a vortex state at the Kosterlitz-Thouless phase transition of the two-dimensional XY model. A local pseudo-magnetization is introduced to characterize the symmetric structure of…

Computational Physics · Physics 2012-02-01 X. P. Qin , B. Zheng , N. J. Zhou

The flux-noise spectra around the Kosterlitz-Thouless transition are obtained from simulations of the two-dimensional resistively shunted junction model. In particular the dependence on the distance $d$ between the pick-up coil and the…

Superconductivity · Physics 2007-05-23 Beom Jun Kim , Petter Minnhagen

The two-dimensional (2D) Heisenberg magnet with a weak easy-plane anisotropy is considered. A renormalization group (RG) analysis in this model is performed for both quantum and classical cases. A crossover from the Heisenberg to 2D XY…

Condensed Matter · Physics 2011-07-22 V. Yu. Irkhin , A. A. Katanin

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

We show that two-component Bose-Einstein condensed mixtures, in presence of a persistent current, exhibit a non trivial Doppler shift of the sound velocities. The peculiarity is due to the inter-species interaction and the possibility of…

Quantum Gases · Physics 2025-12-16 Tomasz Zawiślak , Sandro Stringari , Alessio Recati

Anderson localization transitions are usually referred to as quantum phase transitions from delocalized states to localized states in disordered systems. Here we report an unconventional ``Anderson localization transition'' in…

Disordered Systems and Neural Networks · Physics 2024-01-12 C. Wang , Wenxue He , Hechen Ren , X. R. Wang

We study a two dimensional (2D) system of interacting quantum bosons, subjected to a continuous periodic potential in one direction. The correlation of such system exhibits a dimensional crossover between a canonical 2D behavior with…

Quantum Gases · Physics 2023-07-26 Hepeng Yao , Lorenzo Pizzino , Thierry Giamarchi

Excitonic superfluidity in double phosphorene monolayers is investigated using the BCS mean-field equations. Highly anisotropic superfluidity is predicted where we found that the maximum superfluid gap is in the BEC regime along the…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 S. Saberi-Pouya , M. Zarenia , A. Perali , T. Vazifehshenas , F. M. Peeters

Binding and unbinding of vortices drives Kosterlitz-Thouless phase transition in two-dimensional XY model. Here we investigate whether similar mechanism works in two-dimensional Heisenberg model, by using the fluctuation of skyrmion number…

Statistical Mechanics · Physics 2025-03-19 Shan-Chang Tang , Yu Shi

We study the two-dimensional attractive Hubbard model using the mapping onto the half-filled repulsive Hubbard model in a uniform magnetic field coupled to the fermion spins. The low-energy effective action for charge and pairing…

Strongly Correlated Electrons · Physics 2007-05-23 N. Dupuis

We study the phase transition of thin films in the three-dimensional XY universality class. To this end, we perform a Monte Carlo study of the improved two-component \phi^4 model, the improved dynamically diluted XY model and the standard…

Statistical Mechanics · Physics 2009-11-13 Martin Hasenbusch

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