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Related papers: Exponent 1/4 from the mean field approximation

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We calculate the magnetization of a two-dimensional superconductor in a perpendicular magnetic field near its Kosterlitz-Thouless transition and at lower temperatures. We find that the critical behavior is more complex than assumed in the…

Superconductivity · Physics 2013-05-29 Vadim Oganesyan , David A. Huse , S. L. Sondhi

We perform a detailed study of the critical behavior of the mean field diluted Ising ferromagnet by analytical and numerical tools. We obtain self-averaging for the magnetization and write down an expansion for the free energy close to the…

Statistical Mechanics · Physics 2009-11-13 Elena Agliari , Adriano Barra , Federico Camboni

The 1-arm exponent $\rho$ for the ferromagnetic Ising model on $\mathbb{Z}^d$ is the critical exponent that describes how fast the critical 1-spin expectation at the center of the ball of radius $r$ surrounded by plus spins decays in powers…

Mathematical Physics · Physics 2019-07-10 Satoshi Handa , Markus Heydenreich , Akira Sakai

In the high dimension (mean field) limit the susceptibility and the second moment correlation length of the Ising ferromagnet depend on temperature as chi(T)=tau^{-1} and xi(T)=T^{-1/2}tau^{-1/2} exactly over the entire temperature range…

Statistical Mechanics · Physics 2009-11-13 I. A. Campbell , P. Butera

Magnetization of a ferromagnetic substance in response to an externally applied magnetic field increases with the strength of the field. This is because at the microscopic level, magnetic moments in certain regions or domains of the…

Machine Learning · Computer Science 2025-12-12 Vijay Prakash S

We investigate the specific heat and magnetisation of a ferrimagnet with gS=1 and S=1/2 spins in a finite magnetic field using the transfer matrix DMRG down to T=0.025J. Ferromagnetic gapless and antiferromagnetic gapped excitations for H=0…

Condensed Matter · Physics 2009-10-31 K. Maisinger , U. Schollwoeck , S. Brehmer , H. J. Mikeska , S. Yamamoto

We develop a general framework, which combines exact diagonalization in small clusters with a density matrix variational principle, to study frustrated magnets at finite temperature. This thermodynamic hierarchical mean-field technique is…

Strongly Correlated Electrons · Physics 2012-10-05 L. Isaev , G. Ortiz

We propose a method for calculating the isothermal critical exponent $\delta$ in Ising systems undergoing a second-order phase transition. It is based on the calculation of the mean magnetization time series within a small connected domain…

Statistical Mechanics · Physics 2016-01-26 A. -M. Tsopelakou , G. Margazoglou , Y. F. Contoyiannis , P. A. Kalozoumis , F. K. Diakonos , N. G. Fytas

We study the mean field dilute model of a ferromagnet. We find and prove an expression for the free energy density at high temperature, and at temperature zero. We find the critical line of the model, separating the phase with zero…

Statistical Mechanics · Physics 2009-11-13 Luca De Sanctis , Francesco Guerra

Magnetic properties of the planar structure consisting of a ferromagnetic metal and the diluted magnetic semiconductor are considered (by the example of the structure Fe/Ga(Mn)As, experimentally studied in [F. Maccherozzi, e.a., Phys. Rev.…

Materials Science · Physics 2015-05-13 E. Z. Meilikhov , R. M. Farzetdinova

We prove that for the Ising model defined on the plane $\Z^2$ at $\beta=\beta_c$, the average magnetization under an external magnetic field $h>0$ behaves exactly like \[{\sigma_0}_{\beta_c, h} \asymp h^{\frac 1 {15}}\,. \] The proof, which…

Probability · Mathematics 2013-06-18 Federico Camia , Christophe Garban , Charles M. Newman

Isotropic S=1/2 quasi-one-dimensional antiferromagnets are considered within the bosonization method. The 1/zp-corrections to the interchain mean-field theory (zp is the number of nearest neighbors in transverse to chain directions) are…

Condensed Matter · Physics 2011-07-22 V. Yu. Irkhin , A. A. Katanin

We employ the dynamical mean field approximation to perform a systematic study of magnetism in Ga_{1-x}Mn_xAs. Our model incorporates the effects of the strong spin-orbit coupling on the J=3/2 GaAs valence bands and of the exchange…

Strongly Correlated Electrons · Physics 2007-05-23 K. Aryanpour , J. Moreno , M. Jarrell , R. S. Fishman

We have studied the field dependence of the magnetization in epilayers of the diluted magnetic semiconductor Ga(1-x)Mn(x)As for 0.0135 < x < 0.083. Measurements of the low temperature magnetization in fields up to 3 T show a significant…

Condensed Matter · Physics 2009-11-07 S. J. Potashnik , K. C. Ku , S. H. Chun , R. F. Wang , M. B. Stone , N. Samarth , P. Schiffer

We consider the behavior of an Ising ferromagnet obeying the Glauber dynamics under the influence of a fast switching, random external field. In Part I, we introduced a general formalism for describing such systems and presented the mean…

Statistical Mechanics · Physics 2009-10-31 J. Hausmann , P. Rujan

We calculate magnetization in magnetically doped semiconductors assuming a local exchange model of carrier-mediated ferromagnetic mechanism and using a number of complementary theoretical approaches. In general, we find that the results of…

Materials Science · Physics 2009-11-07 S. Das Sarma , E. H. Hwang , A. Kaminski

We report a novel critical exponent delta=3/2 of magnetization curves M=H^{1/delta} near the ferromagnetic quantum phase transitions of Sr1-xAxRuO3 (A = Ca, La0.5Na0.5, and La), which the mean field theory of the Ginzburg-Landau-Wilson type…

Strongly Correlated Electrons · Physics 2009-11-13 Y. Itoh , T. Mizoguchi , K. Yoshimura

The expression for the intensity of the electromagnetic field radiation is derived in the approximation next to the dipole one. The presented approach is based on fundamental equations from the introductory course on classical…

Classical Physics · Physics 2018-09-21 Andrij Rovenchak , Yuri Krynytskyi

A transverse multipole expansion is derived, including the longitudinal components necessarily present in regions of varying magnetic field profile. It can be used for exact numerical orbit following through the fringe field regions of…

Accelerator Physics · Physics 2016-09-08 Yannis Papaphilippou , Jie Wei , Richard Talman

Ferromagnetism in one dimension is a novel observation which has been reported in a recent work (P. Gambardella et.al., Nature {\bf 416}, 301 (2002)), anisotropies are responsibles in that relevant effect. In the present work, another…

Statistical Mechanics · Physics 2009-11-11 S. Curilef , L. A. del Pino , P. A. Orellana
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