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To enable the study of criticality in multicomponent fluids, the standard spherical model is generalized to describe an $\ns$-species hard core lattice gas. On introducing $\ns$ spherical constraints, the free energy may be expressed…

Statistical Mechanics · Physics 2009-11-13 Jean-Noël Aqua , Michael E. Fisher

We review recent measurements of upper (Hc2) and lower (Hc1) critical fields in clean single crystals of MgB2, and their anisotropies between the two principal crystallographic directions. Such crystals are far into the "clean limit" of…

Superconductivity · Physics 2009-11-07 A. D. Caplin , Y. Bugoslavsky , L. F. Cohen , L. Cowey , J. Driscoll , J. Moore , G. K. Perkins

We present a novel and convenient mean-field method, and apply it to study the metallic/antiferromagnetic interface of k-(BEDT-TTF)_2Cu[N(CN)]_2 Y organic superconductors (BEDT_TTF is bis-ethylen-dithio-tetrathiafulvalene, Y=Cl, Br). The…

Superconductivity · Physics 2024-11-26 A. Painelli , A. Girlando , A. Fortunelli

In this paper, we employ a continuous Ginzburg-Landau model to study the behaviors of the parallel upper critical field of an intrinsically-layered superconductor. Near $T_c$ where the order parameter is nearly homogeneous, the parallel…

Superconductivity · Physics 2009-11-07 L. Wang , H. S. Lim , C. K. Ong

We study the classical cubic-lattice double dimer model, consisting of two coupled replicas of the close-packed dimer model, using a combination of theoretical arguments and Monte Carlo simulations. Our results establish the presence of a…

Statistical Mechanics · Physics 2019-04-04 Neil Wilkins , Stephen Powell

Universal features of continuous phase transitions can be investigated by studying the $\phi^4$ field theory with the corresponding global symmetry breaking pattern. When gauge symmetries are present, the same technique is usually applied…

High Energy Physics - Lattice · Physics 2021-10-12 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We calculate the surface critical exponents of the ordinary transition occuring in semi-infinite, quenched dilute Ising-like systems. This is done by applying the field theoretic approach directly in d=3 dimensions up to the two-loop…

Statistical Mechanics · Physics 2009-10-31 M. Shpot , Z. Usatenko , Chin-Kun Hu

The 1-2 model on the hexagonal lattice is a model of statistical mechanics in which each vertex is constrained to have degree either $1$ or $2$. There are three types of edge, and three corresponding parameters $a$, $b$, $c$. It is proved…

Probability · Mathematics 2017-03-13 Geoffrey R. Grimmett , Zhongyang Li

We investigate numerically the critical behaviour which occurs in the collapse of both spherically symmetric and asymmetric scalar field bubbles with full general relativity. We use a minimally coupled scalar field subject to a "double…

General Relativity and Quantum Cosmology · Physics 2016-02-09 Katy Clough , Eugene A. Lim

We investigate the out-of-equilibrium dynamics of a relativistic $Z_2$-symmetric scalar field theory with Langevin dynamics in two and three spatial dimensions under linear driving across magnetic first-order phase transitions, close to and…

High Energy Physics - Phenomenology · Physics 2026-05-12 Leon J. Sieke , Jessica Fuchs , Lorenz von Smekal

The symmetries of critical ground states of two-dimensional lattice models are investigated. We show how mapping a critical ground state to a model of a rough interface can be used to identify the chiral symmetry algebra of the conformal…

Condensed Matter · Physics 2009-10-28 J. Kondev , C. L. Henley

A new model for lamellar surfaces formed by anisotropic molecules is proposed. The molecules have internal degrees of freedom, associated with their flexible section of length $N$ at zero temperature. We obtain a 2D non-standard six vertex…

Condensed Matter · Physics 2009-10-28 B. Bassetti , G. Mazzoletti , P. Jona

Recently, a concept of generalized multifractality, which characterizes fluctuations and correlations of critical eigenstates, was introduced and explored for all ten symmetry classes of disordered systems. Here, by using the non-linear…

Disordered Systems and Neural Networks · Physics 2023-09-21 Serafim S. Babkin , Jonas F. Karcher , Igor S. Burmistrov , Alexander D. Mirlin

Using Monte Carlo techniques, the surface critical behaviour of three-dimensional semi-infinite ANNNI models with different surface orientations with respect to the axis of competing interactions is investigated. Special attention is…

Condensed Matter · Physics 2009-11-07 Michel Pleimling

The spin-3/2 Blume-Emery-Griffiths model on a honeycomb lattice is studied by Monte Carlo simulations with the goal to determine phase diagrams for a range of the model parameters and to investigate the nature of the phase transitions…

Statistical Mechanics · Physics 2014-01-09 M. Žukovič , M. Jaščur

We investigate the effect of quenched surface disorder on effective interactions between two planar surfaces immersed in fluids which are near criticality and belong to the Ising bulk universality class. We consider the case that, in the…

Statistical Mechanics · Physics 2017-12-06 A. Maciolek , O. Vasilyev , V. Dotsenko , S. Dietrich

Results of a lattice field theory simulation of the single-flavor Thirring model in 2+1 spacetime dimensions are presented. The lattice model is formulated using domain wall fermions as a means to recover the correct U(2) symmetries of the…

High Energy Physics - Lattice · Physics 2021-10-11 Simon Hands , Michele Mesiti , Jude Worthy

Bad-Metal (BM) behavior featuring linear temperature dependence of the resistivity extending to well above the Mott-Ioffe-Regel (MIR) limit is often viewed as one of the key unresolved signatures of strong correlation. Here we associate the…

Strongly Correlated Electrons · Physics 2015-06-26 J. Vucicevic , D. Tanaskovic , M. Rozenberg , V. Dobrosavljevic

When the transition temperature of a continuous phase transition is tuned to absolute zero, new ordered phases and physical behaviour emerge in the vicinity of the resulting quantum critical point. Sr3Ru2O7 can be tuned through quantum…

Strongly Correlated Electrons · Physics 2021-10-25 C. Lester , S. Ramos , R. S. Perry , T. P. Croft , M. Laver , R. I. Bewley , T. Guidi , A. Hiess , A. Wildes , E. M. Forgan , S. M. Hayden

Surface patterns on ablating materials are observed in high-speed ground and flight tests, but the mechanisms behind their formation are not known. In this paper, the origin of surface patterns is investigated via a local linear stability…

Fluid Dynamics · Physics 2026-01-14 Blaine Vollmer , Alberto Padovan , Daniel J. Bodony