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We study and compare the critical properties of the two-dimensional (2D) XY model in a transverse magnetic field with magnetic filling factors f=1/3 and f=2/5. In addition to the spin waves, the low energy excitations of the system consist…

Statistical Mechanics · Physics 2009-10-28 Colin Denniston , Chao Tang

The two-dimensional random gauge \xy model, where the quenched random variables are magnetic bond angles uniformly distributed within $[-r\pi, r\pi]$ ($0 \leq r \leq 1$), is studied via Monte Carlo simulations. We investigate the phase…

Superconductivity · Physics 2007-05-23 Petter Holme , Petter Minnhagen , Beom Jun Kim

We investigate the proposal that for weakly coupled two-dimensional magnets the transition temperature scales with a critical exponent which is equivalent to that of the susceptibility in the underlying two-dimensional model, $ \gamma $.…

Statistical Mechanics · Physics 2020-02-19 Jordan C. Moodie , Manjinder Kainth , Matthew R. Robson , M. W. Long

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

To examine the properties of the frustrated XY model at an incommensurate field we have examined a sequence of magnetic filling factors f which approach the irrational value of one minus the golden mean. At all f studied, the system…

Statistical Mechanics · Physics 2007-05-23 Colin Denniston , Chao Tang

A one-dimensional quantum version of the frustrated XY (planar rotor) model is considered which can be physically realized as a ladder of Josephson-junctions at half a flux quantum per plaquette. This system undergoes a superconductor to…

Condensed Matter · Physics 2009-10-22 E. Granato

The model of lattice fermions in 2+1 dimensional space is formulated, the critical states of which are lying in the basis of such physical problems, as 3D Ising Model(3DIM) and the edge excitations in the Hall effect. The action for this…

Condensed Matter · Physics 2007-05-23 A. Sedrakyan

Using extensive Monte Carlo simulations, we clarify the critical behaviour of the 3 dimensional simple cubic Ising Fully Frustrated system. We find two transition temperatures and two long range ordered phases. Within the present numerical…

Statistical Mechanics · Physics 2009-10-31 L. W. Bernardi , K. Hukushima , H. Takayama

We present numerical simulations of the random field Ising model in three dimensions at zero temperature. The critical exponents are found to agree with previous results. We study the magnetic susceptibility by applying a small magnetic…

Disordered Systems and Neural Networks · Physics 2014-03-21 Marco Picco , Nicolas Sourlas

XY frustrated magnets exhibit an unsual critical behavior: they display scaling laws accompanied by nonuniversal critical exponents and a negative anomalous dimension. This suggests that they undergo weak first order phase transitions. We…

Statistical Mechanics · Physics 2009-11-07 M. Tissier , B. Delamotte , D. Mouhanna

We study the two-dimensional fully frustrated XY (FFXY) model and two related models, a discretization of the Landau-Ginzburg-Wilson Hamiltonian for the critical modes of the FFXY model and a coupled Ising-XY model, by means of Monte Carlo…

Statistical Mechanics · Physics 2013-05-29 Martin Hasenbusch , Andrea Pelissetto , Ettore Vicari

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

High Energy Physics - Lattice · Physics 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. P. Young

We study the dynamic phase transition properties for the mixed spin-(1/2, 1) Ising model on a square lattice under a time-dependent magnetic field by means the effective-field theory (EFT) based on the Glauber dynamics. We present the…

Statistical Mechanics · Physics 2014-07-14 Mehmet Ertaş , Mustafa Keskin

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

We study the dynamic vortex Mott transition in two-dimensional superconducting arrays in a magnetic field with $f$ flux quantum per plaquette. The transition is induced by external driving current and thermal fluctuations near rational…

Superconductivity · Physics 2019-10-02 Enzo Granato

We present a new variational approach to the study of phase transitions in frustrated 2D XY models. In the spirit of Villain's approach for the ferromagnetic case we divide thermal excitations into a low temperature long wavelength part…

Condensed Matter · Physics 2009-10-28 M. Benakli , H. Zheng , M. Gabay

The scaling behavior of the current-voltage ($IV$) characteristics of a two-dimensional proximity-coupled Josephson junction array (JJA) with quenched bond disorder was investigated for frustrations $f=1/5$, 1/3, 2/5, and 1/2. For all these…

Superconductivity · Physics 2007-05-23 Young-Je Yun , In-Cheol Baek , Mu-Yong Choi

Two known distinct examples of one-dimensional systems which are known to exhibit a phase transition are critically examined: (A) a lattice model with harmonic nearest-neighbor elastic interactions and an on-site Morse potential, and (B)…

Statistical Mechanics · Physics 2007-06-17 N. Theodorakopoulos

Transport measurements are carried out on dice Josephson-junction arrays with the frustration index $f=1/3$ and 1/2 which possess, within the limit of the $XY$ model, an accidental degeneracy of the ground states as a consequence of the…

Superconductivity · Physics 2008-12-01 In-Cheol Baek , Young-Je Yun , Mu-Yong Choi
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