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Related papers: Surface critical exponents at a uniaxial Lifshitz …

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We report Monte Carlo simulations of critical dynamics far from equilibrium on a perfect and non-perfect surface in the 3d Ising model. For an ordered initial state, the dynamic relaxation of the surface magnetization, the line…

Computational Physics · Physics 2008-07-31 Shizeng Lin , Bo Zheng

This work is dedicated to the study of the discrete version of the Maier-Saupe model in the presence of competing interactions. The competition between interactions favoring different orientational ordering produces a rich phase diagram…

Statistical Mechanics · Physics 2017-07-24 P. F. Bienzobaz , Na Xu , Anders W. Sandvik

We study the surface behavior of the two-dimensional columnar dimerized quantum antiferromagnetic XXZ model with easy-plane anisotropy, with particular emphasis on the surface critical behaviors of the (2+1)-dimensional quantum critical…

Strongly Correlated Electrons · Physics 2022-01-28 WenJing Zhu , Chengxiang Ding , Long Zhang , Wenan Guo

Monte Carlo simulations are used to investigate the tricritical point properties of a 2d spin fluid. Measurements of the scaling operator distributions are employed in conjunction with a finite-size scaling analysis to locate the…

Condensed Matter · Physics 2009-10-28 N. B. Wilding , P. Nielaba

Non-Fermi liquids are an important topic in condensed matter physics, as their characteristics challenge the framework of traditional Fermi liquid theory and reveal the complex behavior of electrons in strongly interacting systems. Both the…

Strongly Correlated Electrons · Physics 2025-10-21 Tu Hong , Xiao Yan Xu

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

The critical behavior of $d$-dimensional systems with $n$-component order parameter $\bm{\phi}$ is studied at an $m$-axial Lifshitz point where a wave-vector instability occurs in an $m$-dimensional subspace ${\mathbb R}^m$ ($m{>}1$). Field…

Statistical Mechanics · Physics 2007-05-23 H. W. Diehl , M. A. Shpot , R. K. P. Zia

We establish the equivalence between the continuum limit of the quantum spherical model with competing interactions, which is relevant to the investigation of Lifshitz points, and the O(N) nonlinear sigma model with the addition of higher…

High Energy Physics - Theory · Physics 2013-08-02 Pedro R. S. Gomes , P. F. Bienzobaz , M. Gomes

A general scheme has been proposed to study the critical behaviour of integrable interaction-round-a-face models with fixed boundary conditions. It has been shown that the boundary crossing symmetry plays an important role in determining…

Condensed Matter · Physics 2015-06-25 Yu-kui Zhou , Murray T. Batchelor

Using renormalized field theory, we examine the dynamics of a growing surface, driven by an obliquely incident particle beam. Its projection on the reference (substrate) plane selects a ``parallel'' direction, so that the evolution equation…

Statistical Mechanics · Physics 2009-11-11 B. Schmittmann , Gunnar Pruessner , H. K. Janssen

We investigate the universality of an Ising symmetry breaking phase transition of tilted two-dimensional Dirac fermions, in the type-I phase as well as at the Lifshitz transition between a type-I and a type-II semimetal, where the Fermi…

Strongly Correlated Electrons · Physics 2025-03-17 Huanzhi Hu , Frank Krüger

Using mean-field theory and high resolution Monte Carlo simulation technique based on multi-histogram method, we have investigated the critical properties of an antiferromagnetic XY model on the 2D Kagom\'e lattice, with single ion…

Strongly Correlated Electrons · Physics 2008-06-17 Farhad Shahbazi , Saba Mortezapour

The effect of a random surface field, within the bimodal distribution, on the layering transitions in a spin-1/2 Ising thin film is investigated, using Monte Carlo simulations. It is found that the layering transitions depend strongly on…

Statistical Mechanics · Physics 2009-11-10 H. Ez-Zahraouy , L. Bahmad , A. Benyoussef

The large-n expansion is applied to the calculation of thermal critical exponents describing the critical behavior of spatially anisotropic d-dimensional systems at m-axial Lifshitz points. We derive the leading nontrivial 1/n correction…

High Energy Physics - Theory · Physics 2012-05-07 M. A. Shpot , Yu. M. Pis'mak

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

This letter describes a novel approach for determining the surface tension of a model system that is applicable over the entire liquid-vapor coexistence region. At the heart of the method is a new technique for determining coexistence…

Statistical Mechanics · Physics 2009-11-07 Jeffrey R. Errington

There has been much recent progress on exotic surface critical behavior, yet the classical-quantum correspondence of special and extraordinary-log criticality remains largely unclear. Employing worm Monte Carlo simulations, we explore the…

Statistical Mechanics · Physics 2022-12-06 Yanan Sun , Jin Lyu , Jian-Ping Lv

We present a general scaling theory for the surface critical behavior of non-equilibrium systems with phase transitions into absorbing states. The theory allows for two independent surface exponents which satisfy generalized hyperscaling…

Statistical Mechanics · Physics 2009-10-31 K. B. Lauritsen , P. Frojdh , M. Howard

The critical behavior of the XY model on small-world network is investigated by means of dynamic Monte Carlo simulations. We use the short-time relaxation scheme, i.e., the critical behavior is studied from the nonequilibrium relaxation to…

Disordered Systems and Neural Networks · Physics 2009-11-10 Kateryna Medvedyeva , Petter Holme , Petter Minnhagen , Beom Jun Kim

Analytical and continuous-time quantum Monte Carlo methods are used to investigate the possibility of occupation switching and quantum criticality in a model of two quantum impurities coupled to two leads. A general discussion of potential…

Strongly Correlated Electrons · Physics 2010-01-05 Xin Wang , Andrew J. Millis