On the reliability of recent Monte Carlo studies of dilute systems of localized spins interacting with itinerant carriers

Details On the reliability of recent Monte Carlo studies of dilute systems of localized spins interacting with itinerant carriers On the reliability of recent Monte Carlo studies of dilute systems of localized spins interacting with itinerant carriers

2009-02-26

arxiv.org/abs/0902.4722v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

11 figures, submitted to Phys. Rev

Scientific paper

In this paper, we discuss magnetic properties of dilute systems of localized spins interacting with itinerant carriers. More precisely, we compare recent available Monte Carlo results with our two step approach (TSA) calculations. The TSA consists first on the determination of the magnetic couplings and then on a proper treatment of the resulting effective dilute Heisenberg Hamiltonian. We show important disagreement between the Monte Carlo results (in principle exact) and our TSA calculations. We analyze the origins and shed light on the reasons of those dissensions. In contrast to one could expect, we demonstrate that the available MC calculations suffer from severe numerical shortcomings. More precisely, (i) the finite size effects appear to be huge in dilute systems, (ii) the statistical sampling (disorder configurations) was far too small, and (iii) the determination of the Curie temperature was too rough. In addition, we provide new arguments to explain a recent disagreement between the Monte Carlo simulations and TSA for the model study of the well known III-V diluted magnetic semiconductor Ga$_{1-x}$Mn$_{x}$As. We hope that this work will motivate new systematic large scale Monte Carlo calculations.

Affiliated with

Also associated with

No associations

Rating

On the reliability of recent Monte Carlo studies of dilute systems of localized spins interacting with itinerant carriers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the reliability of recent Monte Carlo studies of dilute systems of localized spins interacting with itinerant carriers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the reliability of recent Monte Carlo studies of dilute systems of localized spins interacting with itinerant carriers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-571450