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We show that an high temperature expansion at fixed order parameter can be derived for the quantum Ising model. The basic point is to consider a statistical generating functional associated to the local spin state. The probability at…

Statistical Mechanics · Physics 2007-05-23 F. De Pasquale , S. M. Giampaolo

When short-range attractions are combined with long-range repulsions in colloidal particle systems, complex microphases can emerge. Here, we study a system of isotropic particles which can form lamellar structures or a disordered fluid…

Soft Condensed Matter · Physics 2021-07-07 Jakub Pękalski , Wojciech Rządkowski , Athanassios Z. Panagiotopoulos

For the two-dimensional random field Ising model (RFIM) with bimodal (i.e., two-valued) external field, we prove exponential decay of correlations either (1) when the temperature is larger than the critical temperature of the Ising model…

Probability · Mathematics 2018-09-26 Federico Camia , Jianping Jiang , Charles M. Newman

We investigate the laws that rule the behavior of the largest Lyapunov exponent (LLE) in many particle systems with long range interactions. We consider as a representative system the so-called Hamiltonian alpha-XY model where the…

Statistical Mechanics · Physics 2009-11-07 Celia Anteneodo , Raul O. Vallejos

We study the square-lattice XY model in the presence of random phase shifts. We consider two different disorder distributions with zero average shift and investigate the low-temperature quasi-long-range order phase which occurs for…

Disordered Systems and Neural Networks · Physics 2015-05-13 Vincenzo Alba , Andrea Pelissetto , Ettore Vicari

Ever since the experiments which founded the field of highly frustrated magnetism, the kagome Heisenberg antiferromagnet has been the archetypical setting for the study of fluctuation induced exotic ordering. To this day the nature of its…

Strongly Correlated Electrons · Physics 2013-02-19 Gia-Wei Chern , R. Moessner

We demonstrate in two minisuperspace models that a perturbation expansion of quasiclassical Euclidean gravity has a factorial dependence on the order of the term at large orders. This behavior indicates that the expansion is an asymptotic…

High Energy Physics - Theory · Physics 2009-10-30 T. Fugleberg , A. Zhitnitsky

The orientational ordering transition is investigated in the quantum generalization of the anisotropic-planar-rotor model in the low temperature regime. The phase diagram of the model is first analyzed within the mean-field approximation.…

Condensed Matter · Physics 2009-10-28 R. Martonak , D. Marx , P. Nielaba

We consider a chain of one-dimensional dipole moments connected to two thermal baths with different temperatures. The system is in nonequilibrium steady state and heat flows through it. Assuming that fluctuation of the dipole moment is a…

Statistical Mechanics · Physics 2015-06-15 Anton V. Dolgikh , Daniel S. Kosov

We investigate the effects of a trapping space-dependent potential on the low-temperature quasi-long-range order phase of two-dimensional particle systems with a relevant U(1) symmetry, such as quantum atomic gases. We characterize the…

Statistical Mechanics · Physics 2013-05-29 Federico Crecchi , Ettore Vicari

We study localization properties of disordered bosons and spins in random fields at zero temperature. We focus on two representatives of different symmetry classes, hard-core bosons (XY magnets) and Ising magnets in random transverse…

Disordered Systems and Neural Networks · Physics 2013-07-22 Xiaoquan Yu , Markus Mueller

The phase diagram in coordinates "temperature - concentration of defects" of quasi-one-dimensional Ising models with defects of the "random local field" type is investigated. The confrontation of the tendency to the emergence of the…

Disordered Systems and Neural Networks · Physics 2021-02-24 A. A. Berzin , A. I. Morosov , A. S. Sigov

The influence of bond randomness on long range magnetic ordering in the weakly coupled S = 1/2 antiferromagnetic spin chain materials Cu(py)2(Cl1-xBrx)2 is studied by muon spin rotation and bulk measurements. Disorder is found to have a…

Strongly Correlated Electrons · Physics 2012-12-04 M. Thede , F. Xiao , Ch. Baines , C. Landee , E. Morenzoni , A. Zheludev

We consider the extension of static dimensional reduction to real-time. For a scalar field theory it is shown that in the high-temperature limit this leads to an effective classical theory. Quantum corrections to the leading classical…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bert-Jan Nauta , Chris van Weert

In extensive Monte Carlo simulations the phase transition of the random field Ising model in three dimensions is investigated. The values of the critical exponents are determined via finite size scaling. For a Gaussian distribution of the…

Condensed Matter · Physics 2009-10-28 Heiko Rieger

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

Recent studies on the chiral order of regularly frustrated XY magnets are reviewed both in classical and quantum cases. In the classical case, chiral transition is a thermal one, while in the quantum case, it is a quantum phase transition.…

Statistical Mechanics · Physics 2007-05-23 Hikaru Kawamura

At high energy the standard model possesses conformal symmetry at the classical level. This is reflected at the quantum level by relations between the different beta functions of the model. These relations are known as the Weyl consistency…

High Energy Physics - Phenomenology · Physics 2015-06-16 Oleg Antipin , Marc Gillioz , Jens Krog , Esben Mølgaard , Francesco Sannino

We study two versions of the XY model where the spins but also the interaction topology is allowed to change. In the free XY model, the number of links is fixed, but their positions in the network are not. We also study a more relaxed…

Computational Physics · Physics 2020-04-01 Petter Holme , Yérali Gandica

We study the evolution of entanglement, quantum correlation and classical correlation for the one dimensional XY model in external transverse magnetic field. The system is initialized in the full polarized state along the z axis, after…

Quantum Physics · Physics 2010-10-22 Rong-Chun Ge , Chuan-Feng Li , Guang-Can Guo