关于局域自旋与巡游载流子相互作用稀体系的近期Monte Carlo研究的可靠性
On the reliability of recent Monte Carlo studies of dilute systems of localized spins interacting with itinerant carriers
摘要：
本文讨论了定域自旋与巡游载流子相互作用系统的磁性。更确切地说，我们比较最近可用的Monte Carlo结果与我们的两步法（TSA）计算。TSA首先由确定的磁耦合，然后在一个适当的治疗所产生的有效稀释海森堡哈密顿量。我们的Monte Carlo结果（原则上精确）和我们的TSA计算之间存在重要分歧。本文分析了这些纠纷的根源，并对产生这些纠纷的原因进行了探讨。与人们所期望的相反，我们证明了现有的MC计算存在严重的数值缺陷。更确切地说，（i）在稀体系中，有限尺寸效应似乎很大，（ii）统计抽样（无序结构）太小，（iii）居里温度的测定太粗糙。此外，我们提供了新的参数来解释最近之间的分歧蒙特卡罗模拟和TSA的模型研究著名的III-V族稀磁半导体Ga $_{1-x}$ Mn $_{x}$ As。我们希望这项工作将激发新的系统的大规模蒙特卡罗计算。
英文摘要：
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.
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