Journal ArticleDOI
On the eigenvalue spectrum of the susceptibility matrix for random spin systems
Alan J. Bray,M. A. Moore +1 more
Reads0
Chats0
TLDR
In this article, the eigenvalues and eigenvectors of the inverse of the susceptibility matrix are discussed for random spin systems, and it is shown that the corresponding eigenvector must be extended, and that the density of states must vanish at zero eigenvalue.Abstract:
The eigenvalues and eigenvectors of the inverse of the susceptibility matrix are discussed for random spin systems. At a phase transition precipitated by the vanishing of the smallest eigenvalue it is shown that the corresponding eigenvector must be extended, and that the density of states must vanish at zero eigenvalue. Above the transition temperature, generalised Griffiths singularities are associated with the existence of localised states with arbitrarily small eigenvalues. For infinite spin dimensionality the eigenvalue problem is equivalent to an Anderson problem with correlated diagonal and off-diagonal disorder.read more
Citations
More filters
Journal ArticleDOI
Spin glasses: Experimental facts, theoretical concepts, and open questions
Kurt Binder,A. P. Young +1 more
TL;DR: In this article, the most characteristic properties of spin glass systems are described, and related phenomena in other glassy systems (dielectric and orientational glasses) are mentioned, and a review summarizes recent developments in the theory of spin glasses, as well as pertinent experimental data.
Journal ArticleDOI
Griffiths singularities and magnetoresistive manganites
M. B. Salamon,Seung-Hyun Chun +1 more
TL;DR: In this paper, the authors examined the progression of magnetic and thermodynamic behavior as the transition temperature is made to vary from 360 K to 218 K by changing the divalent dopant.
Journal ArticleDOI
Spatially heterogeneous ages in glassy systems
Horacio E. Castillo,Horacio E. Castillo,Claudio Chamon,Leticia F. Cugliandolo,Leticia F. Cugliandolo,José Luis Iguain,Malcolm P. Kennett,Malcolm P. Kennett +7 more
TL;DR: In this article, a framework for the study of fluctuations in the nonequilibrium relaxation of glassy systems with and without quenched disorder was constructed, and two types of two-time local correlators were studied with the aim of characterizing the heterogeneous evolution in these systems.
Journal ArticleDOI
Zero-temperature critical behaviour of vector spin glasses
TL;DR: The dependence of the effective coupling J'(L,m) on length scale L and spin dimension m is studied numerically for vector spin glasses using the defect energy method for space dimension d = 2,3 (m=2,3) and 1 > Lc(m) as mentioned in this paper.
Journal ArticleDOI
A -site-disorder-dependent percolative transport and Griffiths phase in doped manganites
N. Rama,M. S. Ramachandra Rao,V. Sankaranarayanan,Peter Majewski,Stephan Gepraegs,Matthias Opel,Rudolf Gross +6 more
TL;DR: In this paper, the influence of site disorder on the magnetic and transport properties of polycrystalline samples is analyzed within the context of percolative transport and the existence of the Griffiths phase.
References
More filters
Journal ArticleDOI
Absence of Diffusion in Certain Random Lattices
TL;DR: In this article, a simple model for spin diffusion or conduction in the "impurity band" is presented, which involves transport in a lattice which is in some sense random, and in them diffusion is expected to take place via quantum jumps between localized sites.
Journal ArticleDOI
Correlations in Space and Time and Born Approximation Scattering in Systems of Interacting Particles
TL;DR: In this paper, a natural time-dependent generalization for the well-known pair distribution function $g(mathrm{r})$ of systems of interacting particles is given, which gives rise to a very simple and entirely general expression for the angular and energy distribution of Born approximation scattering by the system.
Journal ArticleDOI
Nonanalytic Behavior Above the Critical Point in a Random Ising Ferromagnet
TL;DR: In this paper, it was shown that in a class of randomly diluted Ising ferromagnets the magnetization fails to be an analytic function of the field at a range of temperatures above that at which spontaneous magnetization first appears.
Journal ArticleDOI
Electrons in disordered systems and the theory of localization
TL;DR: A tentative theory is proposed to combine various features of the problem which have been revealed by some of the different approaches to the theory of noninteracting electrons in a static disordered lattice.
Journal ArticleDOI
Time-Dependent Correlations between Spins and Neutron Scattering in Ferromagnetic Crystals
TL;DR: In this paper, the pair correlation between spins considered at different times in a ferromagnetic crystal is used to derive a general formula for the angular and energy distribution of magnetically scattered neutrons.