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arXiv 0712.3181cond-mat.mtrl-sci
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磁性薄膜的临界行为与厚度的关系

Critical behavior of magnetic thin films as a function of thickness

X. T. Pham Phu, V. Thanh Ngo, H. T. Diep

摘要:

研究了磁性薄膜的临界行为与薄膜厚度的关系。我们使用铁磁伊辛模型与高分辨率的多重直方图蒙特卡罗(MC)模拟。我们表明,虽然在小厚度的2D行为仍然占主导地位,有一个系统的连续偏离临界指数从他们的2D值。我们观察到,在相同的厚度变化范围内,指数$ν$的偏差很小,而指数$β$的偏差较大。我们解释这些偏差使用的概念,“有效”的Capehart和费舍尔在有限大小的分析指数建议。由MC模拟得到的临界温度随膜厚的变化与他们的预测非常一致。

英文摘要:

We study the critical behavior of magnetic thin films as a function of the film thickness. We use the ferromagnetic Ising model with the high-resolution multiple histogram Monte Carlo (MC) simulation. We show that though the 2D behavior remains dominant at small thicknesses, there is a systematic continuous deviation of the critical exponents from their 2D values. We observe that in the same range of varying thickness the deviation of the exponent $ν$ is rather small, while exponent $β$ suffers a larger deviation. We explain these deviations using the concept of "effective" exponents suggested by Capehart and Fisher in a finite-size analysis. The shift of the critical temperature with the film thickness obtained here by MC simulation is in an excellent agreement with their prediction.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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