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Related papers: Surface criticality in random field magnets

200 papers

We study the surface critical behavior of semi-infinite quenched random Ising-like systems at the special transition using three dimensional massive field theory up to the two-loop approximation. Besides, we extend up to the next-to leading…

Statistical Mechanics · Physics 2009-10-08 Z. Usatenko , Chin-Kun Hu

We investigate the crossover behavior between special and ordinary surface transitions in three-dimensional semi-infinite Ising-like systems with random quenched bulk disorder. We calculate the surface crossover critical exponent $\Phi$,…

Disordered Systems and Neural Networks · Physics 2009-11-10 Z. Usatenko , Chin-Kun Hu

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

Recent advances in conformal field theory and critical phenomena have focused on the characterization of boundary or defects in a conformally invariant system. In this Letter we study the critical behavior of the three-dimensional Ising…

Statistical Mechanics · Physics 2025-09-10 Dorian Przetakiewicz , Stefan Wessel , Francesco Parisen Toldin

The edge of a quantum critical system can exhibit multiple distinct types of boundary criticality. We use a numerical real-space renormalization group (RSRG) to study the boundary criticality of a 2d quantum Ising model with random exchange…

Strongly Correlated Electrons · Physics 2025-01-07 Gaurav Tenkila , Romain Vasseur , Andrew C. Potter

The properties of a fluid, or Ising magnet, confined in a $L \times \infty$ geometry with opposing surface fields at the walls are studied by density matrix renormalization techniques. In particular we focus on the effect of gravity on the…

Statistical Mechanics · Physics 2009-10-30 Enrico Carlon , Andrzej Drzewinski

An introduction into the theory of boundary critical phenomena and the application of the field-theoretical renormalization group method to these is given. The emphasis is on a discussion of surface critical behavior at bulk critical points…

Statistical Mechanics · Physics 2011-04-15 H. W. Diehl

The four dimensional Gaussian random field Ising magnet is investigated numerically at zero temperature, using samples up to size $64^4$, to test scaling theories and to investigate the nature of domain walls and the thermodynamic limit. As…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Alan Middleton

The surface scaling behavior of classical isotropic Heisenberg magnets is investigated by Monte - Carlo methods in d=3 dimensions for various values of the surface - to - bulk coupling ratio J_1/J. For J_1/J <= 1.0 critical behavior…

Statistical Mechanics · Physics 2009-10-31 M. Krech

We theoretically investigate the spatial dependence of the order parameter of the two-dimensional semi-infinite Ising model with a free surface at or above the bulk critical temperature. Special attention is paid to the influence of a…

Condensed Matter · Physics 2015-06-25 P. Czerner , U. Ritschel

Two-dimensional layered aperiodic Ising systems are studied in the extreme anisotropic limit where they correspond to quantum Ising chains in a transverse field. The modulation of the couplings follows an aperiodic sequence generated…

Statistical Mechanics · Physics 2008-02-03 P. E. Berche , B. Berche , L. Turban

We consider the surface critical behaviour of diagonally layered Ising models on the square lattice where the inter-layer couplings follow some aperiodic sequence. The surface magnetisation is analytically evaluated from a simple formula…

Condensed Matter · Physics 2009-10-28 Ferenc Igloi , Peter Lajko

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

High Energy Physics - Lattice · Physics 2019-06-05 Heiko Rieger , A. P. Young

The phase transition of the three--dimensional random field Ising model with a discrete ($\pm h$) field distribution is investigated by extensive Monte Carlo simulations. Values of the critical exponents for the correlation length, specific…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. P. Young

We analyze the Ising model on a random surface with a boundary magnetic field using matrix model techniques. We are able to exactly calculate the disk amplitude, boundary magnetization and bulk magnetization in the presence of a boundary…

High Energy Physics - Theory · Physics 2008-11-26 Sean Carroll , Miguel Ortiz , Washington Taylor

The behavior of homogeneous and disordered systems with a free boundary is described on the basis of group theory in the two-loop approximation directly in three-dimensional space. The effect of the free boundary on the regime of the bulk…

Statistical Mechanics · Physics 2009-11-13 S. V. Belim

This article gives a brief overview on recent advances in experiments of critical exponents in three groups of magnetic materials. Revisiting experimental data verifies that a universality class with the critical exponents beta = 3/8, gamma…

General Physics · Physics 2025-12-03 Zhidong Zhang

With simple, exact arguments we show that the surface magnetization $m_1$ at the extraordinary and normal transitions and the surface energy density $\epsilon_1$ at the ordinary, extraordinary, and normal transitions of semi-infinite…

Condensed Matter · Physics 2009-10-22 Theodore W. Burkhardt , H. W. Diehl

We consider the critical and off-critical properties at the boundary of the random transverse-field Ising spin chain when the distribution of the couplings and/or transverse fields, at a distance $l$ from the surface, deviates from its…

Statistical Mechanics · Physics 2016-08-15 Dragi Karevski , Róbert Juhász , Loïc Turban , Ferenc Iglói

Systems with a bulk first-order transition can display diverging correlation lengths close to a surface. This surface induced disordering yields a special type of surface criticality. Using extensive numerical simulations we study surface…

Statistical Mechanics · Physics 2014-02-07 Linjun Li , Michel Pleimling