Parametric solution of the phase diagram of a mean‐field Ising model exhibiting a tricritical point

1993 ◽  
Vol 61 (6) ◽  
pp. 554-559 ◽  
Author(s):  
S. Velasco ◽  
J. A. White ◽  
J. Güémez
Author(s):  
Jun Zhao ◽  
Wei Liu ◽  
Aziz Ur Rahman ◽  
Fanying Meng ◽  
Langsheng Ling ◽  
...  

Abstract Non-centrosymmetric NdAlGe is considered to be a candidate for magnetic Weyl semimetal in which the Weyl nodes can be moved by magnetization. Clarification of the magnetic structures and couplings in this system is thus crucial to understand its magnetic topological properties. In this work, we conduct a systematical study of magnetic properties and critical behaviors of single-crystal NdAlGe. Angle-dependent magnetization exhibits strong magnetic anisotropy along the c-axis and absolute isotropy in the ab-plane. The study of critical behavior with H//c gives critical exponents β = 0.236(2), γ = 0.920(1), and δ = 4.966(1) at critical temperature TC = 5.2(2) K. Under the framework of the universality principle, M(T, H) curves are scaled into universality curves using these critical exponents, demonstrating reliability and self-consistency of the obtained exponents. The critical exponents of NdAlGe are close to the theoretical prediction of a tricritical mean-field model, indicating a field-induced tricritical behavior. Based on the scaling analysis, a H −T phase diagram for NdAlGe with H//c is constructed, revealing a ground state with an up-up- down spin configuration. The phase diagram unveils multiple phases including up-up-down domains, up-up-down ordering state, polarized ferromagnetic (PFM), and paramagnetic (PM) phases, with a tricritical point (TCP) located at the intersection [TT CP = 5.27(1) K, HT CP = 30.1(3) kOe] of up-up-down, PFM, and PM phases. The multiple phases and magnetic structures imply a delicate competition and balance between variable interactions and couplings, laying a solid foundation for unveiling topological properties and critical phenomena in this system.


1977 ◽  
Vol 55 (13) ◽  
pp. 1125-1133 ◽  
Author(s):  
M. Plischke ◽  
D. Zobin

We report on the analysis of low and high temperature series for the Ising model with nearest-neighbor antiferromagnetic and next-nearest-neighbor ferromagnetic interactions on the bcc lattice. The high temperature series are complete to β7, the low temperature series to u37. We determine the phase diagram, locate the tricritical point, and estimate the tricritical exponents. The tricritical exponents are only in fair agreement with the predictions of tricritical mean field theory.


1989 ◽  
Vol 1 (23) ◽  
pp. 3687-3689 ◽  
Author(s):  
C E I Carneiro ◽  
V B Henriques ◽  
S R Salinas

1997 ◽  
Vol 11 (21n22) ◽  
pp. 973-979 ◽  
Author(s):  
A. S. de Arruda ◽  
W. Figueiredo

We determine the phase diagram of the semi-infinite Ising model in a cubic lattice with a trimodal distribution of random fields on the surface. We use the mean-field renormalization group with the smallest possible clusters to show that a very small dilution of the random field at surface is sufficient to destroy the tricritical behavior.


1988 ◽  
Vol 28-30 ◽  
pp. 194-199 ◽  
Author(s):  
Bogdan Baranowski ◽  
Milan Friesel ◽  
Arnold Lundén

2007 ◽  
Vol 76 (1) ◽  
Author(s):  
P. Buonsante ◽  
V. Penna ◽  
A. Vezzani ◽  
P. B. Blakie
Keyword(s):  

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