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作为装饰正方形晶格上混合自旋伊辛模型在横向场中相变的确凿证据的等温熵变的弱奇点

Weak Singularities of the Isothermal Entropy Change as the Smoking Gun Evidence of Phase Transitions of Mixed-Spin Ising Model on a Decorated Square Lattice in Transverse Field.

作者信息

Strečka Jozef, Karl'ová Katarína

机构信息

Department of Theoretical Physics and Astrophysics, Faculty of Science, P. J. Šafárik University in Košice, Park Angelinum 9, 040 01 Košice, Slovakia.

出版信息

Entropy (Basel). 2021 Nov 18;23(11):1533. doi: 10.3390/e23111533.

DOI:10.3390/e23111533
PMID:34828231
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8623287/
Abstract

The magnetocaloric response of the mixed spin-1/2 and spin- (S>1/2) Ising model on a decorated square lattice is thoroughly examined in presence of the transverse magnetic field within the generalized decoration-iteration transformation, which provides an exact mapping relation with an effective spin-1/2 Ising model on a square lattice in a zero magnetic field. Temperature dependencies of the entropy and isothermal entropy change exhibit an outstanding singular behavior in a close neighborhood of temperature-driven continuous phase transitions, which can be additionally tuned by the applied transverse magnetic field. While temperature variations of the entropy display in proximity of the critical temperature Tc a striking energy-type singularity (T-Tc)log|T-Tc|, two analogous weak singularities can be encountered in the temperature dependence of the isothermal entropy change. The basic magnetocaloric measurement of the isothermal entropy change may accordingly afford the smoking gun evidence of continuous phase transitions. It is shown that the investigated model predominantly displays the conventional magnetocaloric effect with exception of a small range of moderate temperatures, which contrarily promotes the inverse magnetocaloric effect. It turns out that the temperature range inherent to the inverse magnetocaloric effect is gradually suppressed upon increasing of the spin magnitude .

摘要

在广义修饰-迭代变换中,研究了在横向磁场存在下,混合自旋-1/2和自旋-(S>1/2)伊辛模型在装饰正方形晶格上的磁热响应,该变换提供了与零磁场下正方形晶格上有效自旋-1/2伊辛模型的精确映射关系。熵和等温熵变的温度依赖性在温度驱动的连续相变的紧邻区域表现出显著的奇异行为,这可以通过施加的横向磁场进一步调节。虽然熵的温度变化在临界温度Tc附近表现出明显的能量型奇点(T-Tc)log|T-Tc|,但在等温熵变的温度依赖性中可以遇到两个类似的弱奇点。等温熵变的基本磁热测量因此可以提供连续相变的确凿证据。结果表明,除了一小范围的中等温度外,所研究的模型主要表现出传统的磁热效应,相反,这促进了逆磁热效应。结果表明,随着自旋大小的增加,逆磁热效应固有的温度范围逐渐受到抑制。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/7c27195fbe90/entropy-23-01533-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/f505fdc7fc6c/entropy-23-01533-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/808d8b46a669/entropy-23-01533-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/ccaac8447cba/entropy-23-01533-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/952c6e738d50/entropy-23-01533-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/edef5405c29b/entropy-23-01533-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/7c27195fbe90/entropy-23-01533-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/f505fdc7fc6c/entropy-23-01533-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/808d8b46a669/entropy-23-01533-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/ccaac8447cba/entropy-23-01533-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/952c6e738d50/entropy-23-01533-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/edef5405c29b/entropy-23-01533-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/cc47/8623287/7c27195fbe90/entropy-23-01533-g006.jpg

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本文引用的文献

1
Reentrant phenomenon and inverse magnetocaloric effect in a generalized spin-(1/2,  s) Fisher's super-exchange antiferromagnet.广义自旋 - (1/2, s) 费希尔超交换反铁磁体中的再入现象与逆磁热效应
J Phys Condens Matter. 2016 Nov 30;28(47):476005. doi: 10.1088/0953-8984/28/47/476005. Epub 2016 Sep 23.
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Soluble kagome Ising model in a magnetic field.
磁场中的可溶 Kagome 伊辛模型
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