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We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Ising model and self-avoiding walk are simulated on…

Statistical Mechanics · Physics 2017-03-17 Jens Grimm , Eren Metin Elçi , Zongzheng Zhou , Timothy M. Garoni , Youjin Deng

We investigate the zero-temperature glassy transitions in the square-lattice +- J Ising model, with bond distribution $P(J_{xy}) = p \delta(J_{xy} - J) + (1-p) \delta(J_{xy} + J)$; p=1 and p=1/2 correspond to the pure Ising model and to the…

Disordered Systems and Neural Networks · Physics 2010-08-25 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

Upon thermal annealing at or above room temperature (RT) and high pressure $\it P$ $\sim$ 155 GPa, H$_3$S exhibits superconductivity at $\it T_C$ $\sim$ 200 K. Various theoretical frameworks with strong electron-phonon coupling and Coulomb…

Superconductivity · Physics 2018-08-03 Dale R. Harshman , Anthony T. Fiory

A planar square lattice model with 3-d spins interacting with nearest neighbours through a potential -$\epsilon P_4 (cos \theta_{ij})$ is studied by Monte Carlo technique. Lattice sizes from 10$\times$10 to 30$\times$30 are considered for…

Soft Condensed Matter · Physics 2008-02-03 Kisor Mukhopadhyay , Abhijit Pal , Soumen Kumar Roy

We consider the critical behaviour of the continuous-time weakly self-avoiding walk with contact self-attraction on $\mathbb{Z}^4$, for sufficiently small attraction. We prove that the susceptibility and correlation length of order $p$ (for…

Mathematical Physics · Physics 2020-04-28 Roland Bauerschmidt , Gordon Slade , Benjamin C. Wallace

We study a lattice model of a single magnetic polymer chain, where Ising spins are located on the sites of a lattice self-avoiding walk in $d=2$. We consider the regime where both conformations and magnetic degrees of freedom are dynamic,…

Statistical Mechanics · Physics 2021-11-17 Kamilla Faizullina , Ilya Pchelintsev , Evgeni Burovski

The fractal dimensions of polymer chains and high-temperature graphs in the Ising model both in three dimension are determined using the conformal bootstrap applied for the continuation of the $O(N)$ models from $N=1$ (Ising model) to $N=0$…

Statistical Mechanics · Physics 2017-02-01 Hirohiko Shimada , Shinobu Hikami

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

Statistical Mechanics · Physics 2019-01-31 Ran Huang , Purushottam D. Gujrati

The metal-insulator transition (MIT) observed in two-dimensional (2D) systems is apparently contradictory to the well known scaling theory of localization. By investigating the conductance of disordered one-dimensional systems with a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Junren Shi , X. C. Xie

Quasi-one-dimensional (1D) materials provide a superior platform for characterizing and tuning topological phases for two reasons: i) existence for multiple cleavable surfaces that enables better experimental identification of topological…

In [arXiv:1806.06668], we have studied the Boltzmann random triangulation of the disk coupled to an Ising model on its faces with Dobrushin boundary condition at its critical temperature. In this paper, we investigate the phase transition…

Mathematical Physics · Physics 2022-12-21 Linxiao Chen , Joonas Turunen

Using the collective variables method we revisit the estimates of the Ginzburg temperature for the Coulomb-dominated models of ionic fluids. We consider the charge-asymmetric primitive model supplemented by short-range attractive…

Statistical Mechanics · Physics 2013-04-30 Oksana Patsahan

We implement a new and accurate numerical entropic scheme to investigate the first-order transition features of the triangular Ising model with nearest-neighbor ($J_{nn}$) and next-nearest-neighbor ($J_{nnn}$) antiferromagnetic interactions…

Statistical Mechanics · Physics 2008-09-16 A. Malakis , N. G. Fytas , P. Kalozoumis

We analyze the crystallization and collapse transition of a simple model for flexible polymer chains on simple cubic and face-centered cubic lattices by means of sophisticated chain-growth methods. In contrast to bond-fluctuation polymer…

Soft Condensed Matter · Physics 2009-11-13 Thomas Vogel , Michael Bachmann , Wolfhard Janke

We have varied the disorder in a two-dimensional electron system in silicon by applying substrate bias. When the disorder becomes sufficiently low, we observe the emergence of the metallic phase, and find evidence for a metal-insulator…

Strongly Correlated Electrons · Physics 2009-10-30 Dragana Popovic , A. B. Fowler , S. Washburn

Recent analyses of wetting in the semi-infinite two dimensional Ising model, extended to include both a surface coupling enhancement and a surface field, have shown that the wetting transition may be effectively first-order and that…

Statistical Mechanics · Physics 2016-07-20 Andrew O. Parry , Alexandr Malijevský

Combining elastic incoherent neutron scattering experiments at different resolutions with molecular dynamics simulations, we report the observation of a protein-like dynamical transition in linear chains of Poly(N-isopropylacrylamide). We…

Soft Condensed Matter · Physics 2021-03-11 L. Tavagnacco , M. Zanatta , E. Buratti , B. Rosi , B. Frick , F. Natali , J. Ollivier , E. Chiessi , M. Bertoldo , E. Zaccarelli , A. Orecchini

We point out the incorrect derivation of the gap equation in X.-J. Chen and H. Q. Lin [Phys. Rev. B 69 (2004) 104518; cond-mat/0306680] within the interlayer tunneling (ILT) model for multilayered cuprates. There, the local structure in…

Superconductivity · Physics 2007-05-23 G. G. N. Angilella , R. Pucci , A. Sudbo

Dilute or semi-dilute solutions of non-intersecting self-avoiding walk (SAW) polymer chains are mapped onto a fluid of ``soft'' particles interacting via an effective pair potential between their centers of mass. This mapping is achieved by…

Soft Condensed Matter · Physics 2009-10-31 P. G. Bolhuis , A. A. Louis , J. P. Hansen , E. J. Meijer

We study the thermal phase transitions of a generic real scalar field, without a $Z_2$-symmetry, referred to variously as an inert, sterile or singlet scalar, or $\phi^3+\phi^4$ theory. Such a scalar field arises in a wide range of models,…

High Energy Physics - Phenomenology · Physics 2021-04-13 Oliver Gould