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Critical scaling and universality in short-time dynamics for spin models on a two-dimensional triangular lattice are investigated by using Monte Carlo simulation. Emphasis is placed on the dynamic evolution from fully ordered initialstates…

Soft Condensed Matter · Physics 2009-11-07 H. P. Ying , L. Wang , J. B Zhang , M. Jiang , J. Hu

We study the 2D static spin-pseudospin model equivalent to the dilute frustrated antiferromagnetic Ising model with charge impurities. We present the results of classical Monte Carlo simulation on a square lattice with periodic boundary…

Statistical Mechanics · Physics 2021-09-23 D. N. Yasinskaya , V. A. Ulitko , A. A. Chikov , Yu. D. Panov

Critical behavior in short-time dynamics is investigated by a Monte Carlo study for the random-bond Potts ferromagnet with a trinary distribution of quenched disorders on two-dimensional triangular lattices. The dynamic scaling is verified…

Statistical Mechanics · Physics 2007-05-23 H. P. Ying , B. J. Bian , D. R. Ji , H. J. Luo , L. Schuelke

We analyze quantum Monte Carlo data in the vicinity of the quantum transition between a Neel state and a quantum paramagnet in a two-layer, square lattice spin 1/2 Heisenberg antiferromagnet. The real-space correlation function and the…

Condensed Matter · Physics 2016-08-31 Anders W. Sandvik , Andrey V. Chubukov , Subir Sachdev

We report the results of a numerical investigation of static and dynamic critical behavior of the anisotropic easy-plane Heisenberg model which is used as a model for iron-vanadium magnetic superlattices. Models of iron-vanadium magnetic…

Statistical Mechanics · Physics 2014-12-01 Akai K. Murtazaev , Vadim A. Mutailamov

The static critical behavior of the models of small magnetic particles of the real two sublattice antiferromagnet MnF2 is investigated by the Monte Carlo method taking into account the interaction of the second nearest neighbors. Systems…

Statistical Mechanics · Physics 2015-12-01 V. A. Mutailamov , A. K. Murtazaev , M. A. Magomedov

We study the critical breakdown of two-dimensional quantum magnets in the presence of algebraically decaying long-range interactions by investigating the transverse-field Ising model on the square and triangular lattice. This is achieved…

Strongly Correlated Electrons · Physics 2019-01-09 S. Fey , Sebastian C. Kapfer , K. P. Schmidt

We investigate the short-time universal behavior of the two dimensional Ashkin-Teller model at the Baxter line by performing time-dependent Monte Carlo Simulations. First, as preparatory results, we obtain the critical parameters by…

Statistical Mechanics · Physics 2017-04-12 H. A. Fernandes , R. da Silva , A. A. Caparica , J. R. Drugowich de Felício

Numerically we simulate the short-time behaviour of the critical dynamics for the two dimensional Ising model and Potts model with an initial state of very high temperature and small magnetization. Critical initial increase of the…

Condensed Matter · Physics 2009-10-28 K. Okano , L. Schuelke , K. Yamagishi , B. Zheng

Critical relaxation from a low-temperature fully ordered state of Fe2/V13 iron-vanadium magnetic superlattice models has been studied using the method of short-time dynamics. Systems with three variants of the ratio R of inter- to…

Statistical Mechanics · Physics 2014-12-01 A. K. Murtazaev , V. A. Mutailamov

We revisit the short-time dynamics of 2D Ising model with three spin interactions in one direction and estimate the critical exponents $z,$ $\theta,$ $\beta$ and $\nu$. Taking properly into account the symmetry of the Hamiltonian we obtain…

Statistical Mechanics · Physics 2009-11-07 C. S. Simoes , J. R. Drugowich de Felicio

Short time Monte Carlo methods are used to study the nonequilibrium ferromagnetic phase transition in a majority vote model in two dimensions. The existance of an initial critical slip regime is verified. The measured values of dyamic…

Condensed Matter · Physics 2009-10-30 J. F. F. Mendes , M. A. Santos

The universal behaviour of the short-time dynamics of the three state Potts model in two dimensions at criticality is investigated with Monte Carlo methods. The initial increase of the order is observed. The new dynamic exponent $\theta$ as…

Condensed Matter · Physics 2009-10-28 L. Schuelke , B. Zheng

Critical phenomena of ferromagnetic transition in colossal magnetoresistance manganites are theoretically studied. Concerning the critical exponents for this transition, there still remains controversy among experimental results. In order…

Strongly Correlated Electrons · Physics 2007-05-23 Nobuo Furukawa , Yukitoshi Motome

Monte Carlo simulations of the short-time dynamic behavior are reported for three-dimensional Heisenberg model with long-range correlated disorder at criticality, in the case corresponding to linear defects. The static and dynamic critical…

Disordered Systems and Neural Networks · Physics 2012-10-05 Pavel V. Prudnikov , Maria A. Medvedeva

We derive a lattice $\beta$-function for the 2d-Antiferromagnetic Heisenberg model, which allows the lattice interaction couplings of the nonperturbative Quantum Monte Carlo vacuum to be related directly to the zero-temperature fixed points…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 P. R. Crompton

Ground-state magnetic properties of the diluted Heisenberg antiferromagnet on a square lattice are investigated by means of the quantum Monte Carlo method with the continuous-time loop algorithm. It is found that the critical concentration…

Disordered Systems and Neural Networks · Physics 2009-10-31 K. Kato , S. Todo , K. Harada , N. Kawashima , S. Miyashita , H. Takayama

We study a ferromagnetic instability in a single-band Hubbard model on the hypercubic lattice away from half filling. Using dynamical mean-field theory with the continuous-time quantum Monte Carlo simulations based on the segment algorithm,…

Strongly Correlated Electrons · Physics 2024-06-19 Akihisa Koga , Yusuke Kamogawa , Joji Nasu

We study the phase diagram of the double exchange model, with antiferromagnetic interactions, in a cubic lattice both at zero and at finite temperature. There is a rich variety of magnetic phases, combined with regions where phase…

Strongly Correlated Electrons · Physics 2009-11-07 J. L. Alonso , J. A. Capitan , L. A. Fernandez , F. Guinea , V. Martin-Mayor

We present numerical results for an $S=1/2$ Heisenberg antiferromagnet on a inhomogeneous square lattice with tunable interaction between spins belonging to different plaquettes. Employing Quantum Monte Carlo, we significantly improve on…

Strongly Correlated Electrons · Physics 2008-10-07 A. Fabricio Albuquerque , Matthias Troyer , Jaan Oitmaa