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We investigate the ground-state properties of the XXZ model with $1/r^{\alpha}$ interactions, describing spins interacting with long-range (LR) transverse (XX) ferromagnetic interactions and longitudinal (Z) antiferromagnetic interactions,…

Strongly Correlated Electrons · Physics 2017-06-14 Irénée Frérot , Piero Naldesi , Tommaso Roscilde

We investigate the quantum-critical behavior between the rung-singlet phase with hidden string order and the N\'eel phase with broken $SU(2)$-symmetry on quantum spin ladders with algebraically decaying unfrustrated long-range Heisenberg…

Strongly Correlated Electrons · Physics 2022-09-05 P. Adelhardt , K. P. Schmidt

We study the critical dynamics of the three-dimensional Heisenberg model with random cubic anisotropy in the out-of-equilibrium and equilibrium regimes. Analytical approaches based on field theory predict that the universality class of this…

Disordered Systems and Neural Networks · Physics 2025-08-04 A. Astillero , J. J. Ruiz-Lorenzo

The critical breakdown of a one-dimensional quantum magnet with long-range interactions is studied by investigating the high-field polarized phase of the anisotropic XY model in a transverse field for the ferro- and antiferromagnetic case.…

Strongly Correlated Electrons · Physics 2020-11-18 P. Adelhardt , J. A. Koziol , A. Schellenberger , K. P. Schmidt

We study the surface behavior of the two-dimensional columnar dimerized quantum antiferromagnetic XXZ model with easy-plane anisotropy, with particular emphasis on the surface critical behaviors of the (2+1)-dimensional quantum critical…

Strongly Correlated Electrons · Physics 2022-01-28 WenJing Zhu , Chengxiang Ding , Long Zhang , Wenan Guo

We study the dimer $XXZ$ spin model on two-leg ladders with isotropic Heisenberg interactions on the rung and anisotropic $XXZ$ interactions along the rail in an external field. Combining both analytical and numerical methods, we set up the…

Quantum Gases · Physics 2013-12-13 Qi-Hui Chen , Long-Fei Guo , Peng Li

The one-dimensional extended isotropic XY model (s=1/2) in a transverse field with uniform long-range interactions among the \textit{z} components of the spin is considered. The model is exactly solved by introducing the gaussian and…

Statistical Mechanics · Physics 2009-12-11 F. G. Ribeiro , J. P. de Lima , L. L. Goncalves

Monte Carlo simulations and finite-size scaling theory have been used to study the critical behavior of repulsive dimers on square lattices at 2/3 monolayer coverage. A "zig-zag" (ZZ) ordered phase, characterized by domains of parallel ZZ…

Statistical Mechanics · Physics 2008-04-09 F. Roma , J. L. Riccardo , A. J. Ramirez-Pastor

The classical Heisenberg antiferromagnet with uniaxial exchange anisotropy, the XXZ model, in a magnetic field on a simple cubic lattice is studied with the help of extensive Monte Carlo simulations. Analyzing, especially, various staggered…

Statistical Mechanics · Physics 2011-11-24 Walter Selke

The one-dimensional XXZ model (s=1/2) in a transverse field, with uniform long-range interactions among the transverse components of the spins, is studied. The model is exactly solved by introducing the Jordan-Wigner transformation and the…

Statistical Mechanics · Physics 2015-06-24 L. L. Gonçalves , L. P. S. Coutinho , J. P. de Lima

Working in and out of equilibrium and using state-of-the-art techniques we have computed the dynamic critical exponent of the three dimensional Heisenberg model. By computing the integrated autocorrelation time at equilibrium, for lattice…

Statistical Mechanics · Physics 2019-12-25 A. Astillero , J. J. Ruiz-Lorenzo

The $XXZ$ model $(s = 1/2)$ in a transverse field on a double chain with a uniform long-range interaction among the $z$ components of the spins is considered. The nearest-neighbour interactions are restricted to the components in the $xy$…

Statistical Mechanics · Physics 2015-06-25 J. P. de Lima , L. L. Goncalves

The critical behaviour of statistical models with long-range interactions exhibits distinct regimes as a function of $\rho$, the power of the interaction strength decay. For $\rho$ large enough, $\rho>\rho_{\rm sr}$, the critical behaviour…

Statistical Mechanics · Physics 2019-08-28 Fabiana Cescatti , Miguel Ibáñez-Berganza , Alessandro Vezzani , Raffaella Burioni

Spin-1/2 Ising-Heisenberg model with XYZ Heisenberg pair interaction and two different Ising quartic interactions is exactly solved with the help of the generalized star-square transformation, which establishes a precise mapping equivalence…

Statistical Mechanics · Physics 2015-05-14 Jozef Strecka , Lucia Canova , Kazuhiko Minami

Extensive Monte Carlo simulations are employed in order to study the dynamic critical behavior of the one-dimensional Ising magnet, with algebraically decaying long-range interactions of the form $\frac{1}{r^{d+\sigma}}$, with…

Statistical Mechanics · Physics 2011-04-15 D. E. Rodriguez , M. A. Bab , E. V. Albano

We investigate phase transitions in the nonequilibrium dynamics of power-law interacting spin-1/2 bilayer XXZ models, which have recently been shown to allow generation of entanglement in the form of two-mode squeezing. We find a transition…

Quantum Physics · Physics 2025-12-11 Arman Duha , S. E. Begg , Thomas Bilitewski

We investigate a generalized antiferromagnetic cluster XY model in a transverse magnetic field, where long-range interactions decay algebraically with distance. This model can be exactly solvable within a free fermion framework. By…

Strongly Correlated Electrons · Physics 2025-02-07 Tian-Cheng Yi , Chengxiang Ding , Maoxin Liu , Liangsheng Li , Wen-Long You

The mixed spin-1/2 and spin-S Ising model on the Union Jack (centered square) lattice with four different three-spin (triplet) interactions and the uniaxial single-ion anisotropy is exactly solved by establishing a rigorous mapping…

Statistical Mechanics · Physics 2018-11-19 Jozef Strecka

A unitary coupled-channels model is presented for investigating the decays of heavy mesons and excited meson states into three light pseudoscalar mesons. The model accounts for the three-mesons final state interactions in the decay…

High Energy Physics - Phenomenology · Physics 2011-12-20 H. Kamano , S. X. Nakamura , T. -S. H. Lee , T. Sato

The quantum-critical properties of the transverse-field Ising model with algebraically decaying interactions are investigated by means of stochastic series expansion quantum Monte Carlo, on both the one-dimensional linear chain and the…

Statistical Mechanics · Physics 2021-06-30 J. Koziol , A. Langheld , S. C. Kapfer , K. P. Schmidt
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