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The role of the distribution of coupling constants on the critical exponents of the short-range Ising spin-glass model is investigated via real space renormalization group. A saddle-point spin glass critical point characterized by a…

Disordered Systems and Neural Networks · Physics 2015-06-25 E. Nogueira , S. Coutinho , F. D. Nobre , E. M. F. Curado

The Ising model in a random field and with power-law decaying ferromagnetic bonds is studied at zero temperature. Comparing the scaling of the energy contributions of the ferromagnetic domain wall flip and of the random field a la Imry-Ma…

Disordered Systems and Neural Networks · Physics 2015-06-15 Luca Leuzzi , Giorgio Parisi

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

We analyze the universal features of the critical behaviour of frustrated spin systems with noncollinear order. By means of the field theoretical renormalization group approach, we study the 3d model of a frustrated magnet and obtain…

Statistical Mechanics · Physics 2009-11-10 Yurij Holovatch , Dmytro Ivaneyko , Bertrand Delamotte

We study the critical behavior of two-dimensional short-range quantum spin glasses by numerical simulations. Using a parallel tempering algorithm, we calculate the Binder cumulant for the Ising spin glass in a transverse magnetic field with…

Statistical Mechanics · Physics 2016-07-26 D. A. Matoz-Fernandez , F. Roma

The Ising critical exponents $\eta$, $\nu$ and $\omega$ are determined up to one-per-thousand relative error in the whole range of dimensions $3 \le d < 4$, using numerical conformal-bootstrap techniques. A detailed comparison is made with…

High Energy Physics - Theory · Physics 2023-06-13 Claudio Bonanno , Andrea Cappelli , Mikhail Kompaniets , Satoshi Okuda , Kay Jörg Wiese

We introduce a solvable quantum antiferromagnetic model. The model, with Ising spins in a transverse field, has infinite range antiferromagnetic interactions with random fields on each site, following an arbitrary distribution. As is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bikas K. Chakrabarti , Arnab Das , Jun-ichi Inoue

We reformulate the nonperturbative functional renormalization group for the random field Ising model in a superfield formalism, extending the supersymmetric description of the critical behavior of the system first proposed by Parisi and…

Statistical Mechanics · Physics 2013-05-30 Matthieu Tissier , Gilles Tarjus

The effect of the random magnetic field distribution on the phase diagrams and ground state magnetizations of the Ising nanowire is investigated with effective field theory with correlations. Trimodal distribution chosen as a random…

Statistical Mechanics · Physics 2016-08-14 Ümit Akıncı

The scaling form of the free-energy near a critical point allows for the definition of various thermodynamical amplitudes and the determination of their dependence on the microscopic non-universal scales. Universal quantities can be…

Statistical Mechanics · Physics 2009-10-31 D. Fioravanti , G. Mussardo , P. Simon

We study a geometrically frustrated triangular Ising antiferromagnet in an external magnetic field which is selectively diluted with nonmagnetic impurities employing an effective-field theory with correlations and Monte Carlo simulations.…

Statistical Mechanics · Physics 2012-12-24 M. Borovský , M. Žukovič , A. Bobák

We study the 3d Ising universality class using the functional renormalisation group. With the help of background fields and a derivative expansion up to fourth order we compute the leading index, the subleading symmetric and anti-symmetric…

High Energy Physics - Theory · Physics 2011-04-22 Daniel F. Litim , Dario Zappalá

The boundary-induced scaling of three-dimensional random field Ising magnets is investigated close to the bulk critical point by exact combinatorial optimization methods. We measure several exponents describing surface criticality:…

Disordered Systems and Neural Networks · Physics 2009-11-11 L. Laurson , M. J. Alava

Critical behavior of three-dimensional classical frustrated antiferromagnets with a collinear spin ordering and with an additional twofold degeneracy of the ground state is studied. We consider two lattice models, whose continuous limit…

Strongly Correlated Electrons · Physics 2018-11-06 A. O. Sorokin

The finite size analysis of the nonequilibrium phase transition, in two dimensional Ising ferromagnet driven by plane propagating magneticwave, is studied by Monte Carlo simulation. It is observed that the system undergoes a nonequilibrium…

Statistical Mechanics · Physics 2021-01-29 Ajay Halder , Muktish Acharyya

We present the results of a Monte Carlo study of the three-dimensional anti-ferromagnetic 3-state Potts model. We compute various cumulants in the neighbourhood of the critical coupling. The comparison of the results with a recent high…

Condensed Matter · Physics 2009-10-22 A. P. Gottlob , M. Hasenbusch

The ground state structure of the two-dimensional random field Ising magnet is studied using exact numerical calculations. First we show that the ferromagnetism, which exists for small system sizes, vanishes with a large excitation at a…

Disordered Systems and Neural Networks · Physics 2009-11-07 E. T. Seppälä , M. J. Alava

Two dimensional condensed matter is realised in increasingly diverse forms that are accessible to experiment and of potential technological value. The properties of these systems are influenced by many length scales and reflect both generic…

Statistical Mechanics · Physics 2011-07-15 Andrea Taroni , Steven T. Bramwell , Peter C. W. Holdsworth

We perform a detailed study of the critical behavior of the mean field diluted Ising ferromagnet by analytical and numerical tools. We obtain self-averaging for the magnetization and write down an expansion for the free energy close to the…

Statistical Mechanics · Physics 2009-11-13 Elena Agliari , Adriano Barra , Federico Camboni

We analyse the critical properties of a weakly diluted (random) Ising model with the long-range interaction decaying with distance $x$ as $\sim x^{-d-\sigma}$ in a $d$-dimensional space. It is known to belong to a new long-range random…

Statistical Mechanics · Physics 2025-12-30 D. Shapoval , M. Dudka
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