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Recent advances in boundary critical phenomena have led to the discovery of a new surface universality class in the three-dimensional $O(N)$ model. The newly found ``extraordinary-log" phase can be realized on a two-dimensional surface for…

Statistical Mechanics · Physics 2025-04-17 Francesco Parisen Toldin , Abijith Krishnan , Max A. Metlitski

The recent discovery of the extraordinary-log (E-Log) criticality is a celebrated achievement in modern critical theory and calls for generalization. Using large-scale Monte Carlo simulations, we study the critical phenomena of plane…

Statistical Mechanics · Physics 2023-11-17 Yanan Sun , Minghui Hu , Youjin Deng , Jian-Ping Lv

We report results of high-precision Monte Carlo simulations of a three-dimensional lattice model in the O(3) universality class, in the presence of a surface. By a finite-size scaling analysis we have proven the existence of a special…

Statistical Mechanics · Physics 2022-03-30 Francesco Parisen Toldin

The recent discovery of extraordinary-log universality has generated intense interest in classical and quantum boundary critical phenomena. Despite tremendous efforts, the existence of quantum extraordinary-log universality remains…

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

Critical point of liquid-gas (LG) transition does not conform with the paradigm of spontaneous symmetry breaking because there is no broken symmetry in both phases. This stimulated the ongoing debate about the nature of the universality…

Statistical Mechanics · Physics 2018-06-22 Max Yarmolinsky , Anatoly Kuklov

Continuous phase transitions exhibit richer critical phenomena on the surface than in the bulk, because distinct surface universality classes can be realized at the same bulk critical point by tuning the surface interactions. The…

Strongly Correlated Electrons · Physics 2023-07-12 Chengxiang Ding , Wenjing Zhu , Wenan Guo , Long Zhang

We study the surface criticality of a three-dimensional classical antiferromagnetic Potts model, whose bulk critical behaviors belongs to the XY model because of emergent O(2) symmetry. We find that the surface antiferromagnetic…

Statistical Mechanics · Physics 2023-07-19 Li-Ru Zhang , Chengxiang Ding , Wanzhou Zhang , Long Zhang

We study the three-state antiferromagnetic Potts model on the simple-cubic lattice, paying attention to the surface critical behaviors. When the nearest neighboring interactions of the surface is tuned, we obtain a phase diagram similar to…

Statistical Mechanics · Physics 2022-07-15 Li-Ru Zhang , Chengxiang Ding , Long Zhang , Youjin Deng

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

Using Monte Carlo simulations and finite-size scaling analysis, we show that the $q$-state clock model with $q=6$ on the simple cubic lattice with open surfaces has a rich phase diagram; in particular, it has an extraordinary-log phase,…

Statistical Mechanics · Physics 2022-08-25 Xuan Zou , Shuo Liu , Wenan Guo

Logarithmic finite-size scaling of the O($n$) universality class at the upper critical dimensionality ($d_c=4$) has a fundamental role in statistical and condensed-matter physics and important applications in various experimental systems.…

Statistical Mechanics · Physics 2021-04-13 Jian-Ping Lv , Wanwan Xu , Yanan Sun , Kun Chen , Youjin Deng

This work investigates the critical behavior of one-dimensional systems with long-range (LR) interactions, focusing on the crossover to short-range (SR) universality. Through large-scale Monte Carlo simulations of self-avoiding L\'evy…

Statistical Mechanics · Physics 2025-07-14 Mrinal Sarkar , Nicolò Defenu , Tilman Enss

Rigidity transitions induced by the formation of system-spanning disordered rigid clusters, like the jamming transition, can be well-described in most physically relevant dimensions by mean-field theories. A dynamical mean-field theory…

Soft Condensed Matter · Physics 2024-08-14 Stephen J. Thornton , Danilo B. Liarte , Itai Cohen , James P. Sethna

We study the boundary critical behavior of the three-dimensional Heisenberg universality class, in the presence of a bidimensional surface. By means of high-precision Monte Carlo simulations of an improved lattice model, where leading bulk…

Statistical Mechanics · Physics 2025-05-12 Francesco Parisen Toldin

We study the critical behavior at the ordinary surface universality class of the three-dimensional O($N$) model, bounded by a two-dimensional surface. Using high-precision Monte Carlo simulations of an improved lattice model, where the…

Statistical Mechanics · Physics 2025-03-05 Francesco Parisen Toldin

By the early 1960's advances in statistical physics had established the existence of universality classes for systems with second-order phase transitions and characterized these by critical exponents which are different to the classical…

Statistical Mechanics · Physics 2017-08-23 Ralph Kenna

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

It was recently found that the classical 3d O$(N)$ model in the semi-infinite geometry can exhibit an "extraordinary-log" boundary universality class, where the spin-spin correlation function on the boundary falls off as $\langle \vec{S}(x)…

Strongly Correlated Electrons · Physics 2024-08-26 Abijith Krishnan , Max A. Metlitski

Universal features in the scalings of Shannon-R\'enyi entropies of many-body groundstates are studied for interacting spin-$\frac{1}{2}$ systems across (2+1) dimensional $O(3)$ critical points, using quantum Monte Carlo simulations on…

Strongly Correlated Electrons · Physics 2014-04-23 David J. Luitz , Fabien Alet , Nicolas Laflorencie

It is well known that standard hyperscaling breaks down above the upper critical dimension d_c, where the critical exponents take on their Landau values. Here we show that this is because, in standard formulations in the thermodynamic…

Statistical Mechanics · Physics 2014-11-12 R. Kenna , B. Berche
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