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We study the effect of exponentially correlated noise on $xy-$model in the limit of small correlation time discussing the order-disorder transition in mean-field and the topological transition in two dimensions. We map the steady states of…

Statistical Mechanics · Physics 2018-02-21 Matteo Paoluzzi , Umberto Marini Bettolo Marconi , Claudio Maggi

We present a field-theory description of ultracold bosonic atoms in presence of a disordered external potential. By means of functional integration techniques, we aim to investigate and review the interplay between disordered energy…

Quantum Gases · Physics 2019-06-18 Alberto Cappellaro , Luca Salasnich

Combined effects of interactions and disorder are investigated using a finite temperature quantum Monte Carlo technique for the three-dimensional Hubbard model with random potentials of a finite range. Temperature dependence of the charge…

Strongly Correlated Electrons · Physics 2009-10-31 Y. Otsuka , Y. Hatsugai

We consider a 2D XY model subjected to time-correlated noise, a model of direct relevance to active crystals, which were shown recently to be able to support very large deformations without melting in the presence of persistent…

Statistical Mechanics · Physics 2026-02-26 Xia-qing Shi , Hugues Chaté , Benoît Mahault

We consider a classical spin model, of two-dimensional spins, with continuous symmetry, and investigate the effect of a symmetry breaking unidirectional quenched disorder on the magnetization of the system. We work in the mean field regime.…

Other Condensed Matter · Physics 2014-11-19 Aditi Sen De , Ujjwal Sen , Jan Wehr , Maciej Lewenstein

The two-dimensional dissipative quantum XY model is applicable to the quantum-critical properties of diverse experimental systems, ranging from the superconductor to insulator transitions, ferromagnetic and antiferromagnetic transitions in…

Strongly Correlated Electrons · Physics 2016-11-09 Changtao Hou , Chandra M. Varma

We show, that the 2D XY-model with random phase shifts exhibits for low temperature and small disorder a phase with quasi-long-range order, and that the transition to the disordered phase is {\it not} reentrant. These results are obtained…

Condensed Matter · Physics 2016-08-31 Thomas NATTERMANN , Stefan SCHEIDL , Sergey E. KORSHUNOV , Mai Suan LI

The interplay between quantum and thermal fluctuations in the presence of quenched random disorder is a long-standing open theoretical problem which has been made more urgent by advances in modern experimental techniques. The fragility of…

Strongly Correlated Electrons · Physics 2025-01-28 Matthew C. O'Brien , Eduardo Fradkin

As a prototype of a disordered superconductor we consider the attractive Hubbard model with on-site disorder. We solve the Bogoljubov-de-Gennes equations on two-dimensional finite clusters at zero temperature and evaluate the…

Superconductivity · Physics 2012-05-22 G. Seibold , L. Benfatto , C. Castellani , J. Lorenzana

Quantum Monte Carlo simulations are used to investigate the two-dimensional superfluid properties of the hard-core boson model, which show a strong dependence on particle density and disorder. We obtain further evidence that a half-filled…

Condensed Matter · Physics 2009-10-22 T. Onogi , Y. Murayama

We present a detailed investigation of the probability density function (PDF) of order parameter fluctuations in the finite two-dimensional XY (2dXY) model. In the low temperature critical phase of this model, the PDF approaches a universal…

Statistical Mechanics · Physics 2007-05-23 S. T. Banks , S. T. Bramwell

In experiments the two-dimensional systems are realized mainly on solid substrates which introduce quenched disorder due to some inherent defects. The defects of substrates influence the melting scenario of the systems and have to be taken…

Soft Condensed Matter · Physics 2015-12-21 E. N. Tsiok , D. E. Dudalov , Yu. D. Fomin , V. N. Ryzhov

We introduce an extension of the non-equilibrium dynamical mean field theory to incorporate the effects of static random disorder in the dynamics of a many-particle system by integrating out different disorder configurations resulting in an…

Strongly Correlated Electrons · Physics 2025-04-28 Chakradhar Rangi , Herbert F Fotso , Hanna Terletska , Juana Moreno , Ka-Ming Tam

We investigate the effect of weak disorder on the superfluid properties of two-component quasi-two-dimensional dipolar Fermi gases. The dipole-dipole interaction amplitude is momentum dependent, which violates the Anderson theorem claiming…

Quantum Gases · Physics 2024-02-08 V. Y. Pinchenkova , S. I. Matveenko , V. I. Yudson , G. V. Shlyapnikov

We solve the nonperturbative renormalization-group flow equations for the two-dimensional XY model at the truncation level of the (complete) second-order derivative expansion. We compute the thermodynamic properties in the high-temperature…

Statistical Mechanics · Physics 2016-07-20 Pawel Jakubczyk , Andreas Eberlein

Recent experiments strongly indicate deep connections between transports of strange metal and high $T_c$ superconductors. For instance, it is known that the dependence of the zero-temperature phase stiffness on the critical superconducting…

High Energy Physics - Theory · Physics 2025-02-18 Zhenguo Wang , Xian-Hui Ge , Shuta Ishigaki

Critical transitions are of great interest to scientists in many fields. Most knowledge about these transitions comes from systems exhibiting the multistability of spatially uniform states. In spatially extended and, particularly, in…

Pattern Formation and Solitons · Physics 2016-02-17 Hezi Yizhaq , Golan Bel

We discuss the Euclidean quantum $O(N)$ model with $N=2$ in a continuous broken symmetry phase. We study the system at low temperatures in the presence of quenched disorder linearly coupled to the scalar field. Performing an average over…

High Energy Physics - Theory · Physics 2022-08-10 G. O. Heymans , N. F. Svaiter , G. Krein

We consider 2D random Ising ferromagnetic models, where quenched disorder is represented either by random local magnetic fields (Random Field Ising Model) or by a random distribution of interaction couplings (Random Bond Ising Model). In…

Disordered Systems and Neural Networks · Physics 2022-02-10 Matteo Metra , Luc Zorrilla , Maurizio Zani , Ezio Puppin , Paolo Biscari

The influence of different types of disorder (both uncorrelated and correlated) on the superfluid properties of a weakly interacting or dilute Bose gas, as well as on the corresponding quantities for flux line liquids in high-temperature…

Superconductivity · Physics 2009-10-28 Uwe C. Täuber , David R. Nelson