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We investigate the critical properties of the four-state commutative random permutation glassy Potts model in three and four dimensions by means of Monte Carlo simulation and of a finite size scaling analysis. Thanks to the use of a field…

Disordered Systems and Neural Networks · Physics 2008-04-15 L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Navarro , D. Sciretti , A. Tarancon , J. L. Velasco

Nonequilibrium phase transitions are characterized by the so-called critical exponents, each of which is related to a different observable. Systems that share the same set of values for these exponents also share the same universality…

Adaptation and Self-Organizing Systems · Physics 2019-11-01 Mauricio Girardi-Schappo , M. H. R. Tragtenberg

We consider the extended Hubbard model on a two-dimensional square lattice at half-filling. The model is investigated using the strong coupling diagram technique. We sum infinite series of ladder diagrams allowing for full-scale charge and…

Strongly Correlated Electrons · Physics 2023-05-22 A. Sherman

In this paper a spin-1 spin-glass model under the presence of a uniform crystal field is investigated. It is shown that the model presents both continuous and first-order phase transition separated by a tricritical point. The phase diagram…

Disordered Systems and Neural Networks · Physics 2015-05-19 F. A. da Costa

Motivated by dimensional crossover in layered organic ${\kappa}$ salts, we determine the phase diagram of a system of four periodically coupled Hubbard chains with frustration at half filling as a function of the interchain hopping…

Strongly Correlated Electrons · Physics 2018-01-12 G. Ehlers , B. Lenz , S. R. Manmana , R. M. Noack

We present a comprehensive discussion of a transition from integrability to non-integrability in an oval billiard with a static boundary. This transition is controlled by a deformation parameter $\epsilon$, which modifies the boundary shape…

At non-equilibrium phase transitions into absorbing (trapped) states, it is well known that the directed percolation (DP) critical scaling is shared by two classes of models with a single (S) absorbing state and with infinitely many (IM)…

Statistical Mechanics · Physics 2009-11-13 Su-Chan Park , Hyunggyu Park

The dynamical triangulation model of three-dimensional quantum gravity is shown to have a line of transitions in an expanded phase diagram which includes a coupling mu to the order of the vertices. Monte Carlo renormalization group and…

High Energy Physics - Lattice · Physics 2009-10-30 Ray L. Renken , Simon M. Catterall , John B. Kogut

We study the BCS-BEC crossover phenomenon of triplet exciton condensation using a half-filled bilayer Hubbard model. We calculate the dynamical spin structure factor and the exciton wave function on the phase boundary between the…

Strongly Correlated Electrons · Physics 2023-06-21 Hidemaro Suwa , Shang-Shun Zhang , Cristian D. Batista

Based on the universal properties of a critical point in different systems and that the QCD phase transitions fall into the same universality classes as the 3-dimensional Ising, $O(2)$ or $O(4)$ spin models, the critical behavior of…

Statistical Mechanics · Physics 2015-06-16 Xue Pan , Lizhu Chen , X. S. Chen , Yuanfang Wu

We study the effect of bond dissipation on the one-dimensional antiferromagnetic spin-$1/2$ Heisenberg model. In analogy to the spin-Peierls problem, the dissipative bath is described by local harmonic oscillators that modulate the spin…

Strongly Correlated Electrons · Physics 2023-10-19 Manuel Weber

The three-dimensional Edwards-Anderson spin-glass model present strong spatial heterogeneities well characterized by the so-called backbone, a magnetic structure that arises as a consequence of the properties of the ground state and the…

Disordered Systems and Neural Networks · Physics 2021-02-04 F. Romá

Exploiting the entanglement concept within a matrix-product-state based infinite density-matrix renormalization group approach, we show that the spin-density-wave and bond-order-wave ground states of the one-dimensional half-filled extended…

Strongly Correlated Electrons · Physics 2015-08-05 Florian Lange , Satoshi Ejima , Holger Fehske

The $Q$-state Potts model in two dimensions in the presence of external magnetic fields is studied. For general $Q\geq3$ special choices of these magnetic fields produce effective models with smaller $Z(Q')$ symmetry $(Q'< Q)$. The phase…

Condensed Matter · Physics 2009-10-28 F. C. Alcaraz , J. C. Xavier

The critical behaviour of three-dimensional disordered systems is investigated by analysing the spectral fluctuations of the energy spectrum. Our results suggest that the initial symmetries (orthogonal, unitary and symplectic) are broken by…

Disordered Systems and Neural Networks · Physics 2008-02-03 E. Hofstetter

We study the pure and random-bond versions of the square lattice ferromagnetic Blume-Capel model, in both the first-order and second-order phase transition regimes of the pure model. Phase transition temperatures, thermal and magnetic…

Disordered Systems and Neural Networks · Physics 2009-03-01 A. Malakis , A. Nihat Berker , I. A. Hadjiagapiou , N. G. Fytas

A coupled phase-oscillator model consists of phase-oscillators, each of which has the natural frequency obeying a probability distribution and couples with other oscillators through a given periodic coupling function. This type of model is…

Adaptation and Self-Organizing Systems · Physics 2020-12-16 Ryosuke Yoneda , Kenji Harada , Yoshiyuki Y. Yamaguchi

We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical $N$-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the…

Statistical Mechanics · Physics 2020-09-22 Sudip Mukherjee , Abhik Basu

We have studied the critical properties of the three-dimensional random anisotropy Heisenberg model by means of numerical simulations using the Parallel Tempering method. We have simulated the model with two different disorder…

Disordered Systems and Neural Networks · Physics 2022-10-12 J. J. Ruiz-Lorenzo , M. Dudka , Yu. Holovatch

Using the theory of large deviations, we analyze the phase transition structure of the Curie-Weiss-Potts spin model, which is a mean-field approximation to the Potts model. This analysis is carried out both for the canonical ensemble and…

Statistical Mechanics · Physics 2007-05-23 Marius Costeniuc , Richard S. Ellis , Hugo Touchette