具有最近邻和次近邻相互作用的二维方形Ising晶格相图

IF 1.3 4区材料科学 Q3 CRYSTALLOGRAPHY

Phase Transitions Pub Date : 2023-01-12 DOI:10.1080/01411594.2022.2162897

H. Zandvliet

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引用次数: 1

摘要

摘要我们确定了具有各向异性近邻（）和各向同性次近邻（）相互作用的正方形二维伊辛晶格的温度相关相图。通过考虑畴壁自由能，获得了各种有序相（铁磁、反铁磁和条纹反铁磁）和无序相（顺磁）之间的相边界。尽管相位边界方程并不精确，但当最近邻相互作用比下一个最近邻相互作用力更强时，它们提供了非常准确的描述。当if和具有相同符号或if和具有相反符号时，正方形2D Ising晶格不表现出相变。

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Phase diagram of the square 2D Ising lattice with nearest neighbor and next-nearest neighbor interactions

ABSTRACT We have determined the temperature dependent phase diagram of the square 2D Ising lattice with anisotropic nearest neighbor ( ) and isotropic next-nearest neighbor ( ) interactions. The phase boundaries between the various ordered phases (ferromagnetic, antiferromagnetic and striped antiferromagnetic) and the disordered phase (paramagnetic) are obtained by considering the domain wall free energy. Although the phase boundary equations are not exact, they provide a very accurate description when the nearest neighbor interactions are stronger than the next-nearest neighbor interaction. The square 2D Ising lattice does not exhibit a phase transition when if and have the same sign or if and have opposite signs.

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来源期刊

Phase Transitions 物理-晶体学

CiteScore

3.00

自引率

6.20%

发文量

审稿时长

1.4 months

期刊介绍： Phase Transitions is the only journal devoted exclusively to this important subject. It provides a focus for papers on most aspects of phase transitions in condensed matter. Although emphasis is placed primarily on experimental work, theoretical papers are welcome if they have some bearing on experimental results. The areas of interest include: -structural phase transitions (ferroelectric, ferroelastic, multiferroic, order-disorder, Jahn-Teller, etc.) under a range of external parameters (temperature, pressure, strain, electric/magnetic fields, etc.) -geophysical phase transitions -metal-insulator phase transitions -superconducting and superfluid transitions -magnetic phase transitions -critical phenomena and physical properties at phase transitions -liquid crystals -technological applications of phase transitions -quantum phase transitions Phase Transitions publishes both research papers and invited articles devoted to special topics. Major review papers are particularly welcome. A further emphasis of the journal is the publication of a selected number of small workshops, which are at the forefront of their field.