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WEBSep 9, 2020 · We find that the two-step approach can accurately reproduce the results of Monte Carlo simulations of the traditional XY model. To systematically study the interplay between vortices and spin-wave excitations, we introduce a modified XY model with increased vortex fugacity.
- Author: Ilaria Maccari, Nicolò Defenu, Nicolò Defenu, Lara Benfatto, Claudio Castellani, Tilman Enss
- Publish Year: 2020
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• The existence of the thermodynamic limit for the free energy and spin correlations were proved by Ginibre, extending to this case the Griffiths inequality.
• Using the Griffiths inequality in the formulation of Ginibre, Aizenman and Simon proved that the two point spin correlation of the ferromagnetics XY model in dimension D, coupling J > 0 and inverse temperature β is dominated by (i.e. has an upper boundWikipedia · Text under CC-BY-SA license- Estimated Reading Time: 9 mins
WEBOct 11, 2015 · In 2D XY model there are excitations with nontrivial topology - vortices and anti-vortices (marked by red and green squares). Under path-tracing around a vortex or anti-vortex spins complete revolution on ±2π . 2D XY model is dual to 2D Coulomb model.
WEBMay 21, 2021 · II. VORTEX CONFIGURATIONS IN THE XY MODEL. The XY model describes two-component spins ~s on a two dimensional square lattice of size L and spacing a. The model is characterized by the nearest-neighbor interac-tion Hamiltonian.
WEBJul 3, 2020 · We present large-scale Monte-Carlo simulations of the spin stiffness and vortex density for this modified XY model and show that even at large vortex fugacity, vortex unbinding is accurately described by the …
- Author: Ilaria Maccari, Nicolò Defenu, Nicolò Defenu, Lara Benfatto, Claudio Castellani, Tilman Enss
- Publish Year: 2020
WEBTo systematically study the interplay between vortices and spin-wave excitations, we introduce a modified XY model with increased vortex fugacity.
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WEBTo systematically study the interplay between vortices and spin-wave excitations, we introduce a modi ed XY model with increased vortex fugacity.
WEBThe XY model, which can be obtained from the Heisenberg Hamiltonian by turning ofi the coupling between z spin components, reduces to a free theory of spinless fermions under the Jordan-Wigner transformations.
WEBVortices in a 2D XY model dis-rupt the spin alignments even at large distances and cor-respond to singularities of the order-parameter field [4]. In 2D XY model, vortices are topologically stable con-figurations. It is found that the high temperature dis-order phase with an exponential correlation is a result of the formation of vortices.
WEBAug 6, 2020 · The XY model, also known as planar rotor model is one of the most widely studied and the simplest two-dimensional spin model 1 with continuous symmetry because of the interesting features it possesses and the possibility of analytical treatment using some reasonable approximations.
The classical two-dimensional XY model with in-plane magnetic field
WEBFeb 19, 1990 · The authors present analytical and numerical simulation studies on the two-dimensional XY classical ferromagnetic model with weak in-plane magnetic field (the reduced field is h=0.05 and it is applied along the x axis). The structure and dynamics of vortex spin configurations are considered.
XY model - GitHub Pages
WEBEach pixel on the computer represents an XY model spin. The spins in this simulation are soft, which means that the 2-component vector at each site is not constrained to a unit vector. The color represents the direction of the spin vector.
Numerical Studies of Vortices and Helicity Modulus in the Two ...
WEBTwo-dimensional generalized XY spin model on a triangular lattice is studied by means of Monte-Carlo simulations. The critical temperatures of Berezinskii-Kosterlitz-Thouless (BKT) phase transition are obtained by the method of helicity modulus.
Realizing the classical XY Hamiltonian in polariton simulators
WEBSep 25, 2017 · Here, we propose and investigate the potential of polariton graphs as an efficient analogue simulator for finding the global minimum of the XY model.
Numerical simulation of dynamics in the XY model - OSTI.GOV
WEBWe investigate three specific phenomena in this regard: the annealing of vortex defects during a quench from high to low temperature, the Brownian motion of an isolated vortex due to spin-wave interactions, and the temperature-dependent behavior of real-time spin-spin correlation functions.
Vortex entropy and superconducting fluctuations in ultrathin
WEB3 days ago · Based on the 2D vortex creeping model, ... {\alpha }_{{xy}}\) in this regime, ... Such a symmetry breaking effect, of either spin or charge, is not taken into account by the simple theoretical ...
Investigating quantum criticality and multipartite entanglement in …
WEBMay 29, 2024 · In this work, we utilize the quantum renormalization-group (QRG) method to investigate quantum phase transitions (QPT) in a one-dimensional anisotropic spin-1/2 XY model with Dzyaloshinskii–Moriya (DM) interaction. Within this model, it has been demonstrated that phase diagrams are influenced by both the anisotropy parameter and …
WEBThe investigation of non-equilibrium vortex annealing of structural disorder in the two-dimensional XY-model in this work is focused on the dynamic dependencies of size of the largest defects cluster Sm(t) and the averaged size of defects clusters Sav(t) for the di erent spin concentrations p.
Insight into the dissipative oscillatory micropolar wavy flow ...
WEBMay 28, 2024 · Delving into the intricacies of vortex viscosity and spin gradient viscosity is a cornerstone of fluid dynamics, unveiling profound insights into the behavior of rotating fluids. These fundamental parameters are essential for the precise modeling of vortical structures and rotational flows, providing an invaluable understanding of phenomena …
WEBWe have a number of times alluded to the fact that not only the XY-model exhibit the Kosterlitz-Thouless vortex unbinding transition. Any two dimensional system that sup- ports thermally induced \charges" or topological defects that interact logarithmically will undergo this transition.
WEB2 days ago · XY-model (q= 1), our results align with expectations ... phase transition and vortex stability in the generalized xy models. Physics Letters A, 319(1-2):114–121, 2003. ... the two-dimensional classical xy model: A spin-dynamics study. Physical Review B, 54(17):12302, 1996. 8
Berezinskii–Kosterlitz–Thouless transition - Wikipedia
WEBThe Berezinskii–Kosterlitz–Thouless (BKT) transition is a phase transition of the two-dimensional (2-D) XY model in statistical physics. It is a transition from bound vortex-antivortex pairs at low temperatures to unpaired vortices and anti-vortices at …
WEBStarting with random spin orientations, the sample freezes into the vortex-glass state with a stretched-exponential decay of spin correlations, having short correlation length and a low susceptibility, compared to vortex-free states.
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2007 Thor Vortex Used Cars Fresno CA - YouTube
WEBhttp://toyhaulerfresnoca.com This 2007 Thor Vortex is available from Toy Hauler Liquidators. For details, call us at 559-229-2277
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WEBModel decorator items and furniture may or may not be available for purchase – inquire with each community for availability. Visit the community for detailed lists of options/upgrades and decorator items and for additional important …
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WEBApr 7, 2022 · "Poltergeist," a 1982 horror film, centers around the young Freeling family. The family experiences supernatural visits (ghosts) at home, according to the storyline. Co-produced by Steven Spielberg, Tobe Hooper directed the film. Spielberg's story forms the basis of the film.
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