scholarly journals Lack of phase transitions in staggered magnetic systems. A comparison of uniqueness criteria

2021 ◽  
Vol 62 (10) ◽  
pp. 103301
Author(s):  
Roberto Fernández ◽  
Manuel González-Navarrete ◽  
Eugene Pechersky ◽  
Anatoly Yambartsev
Keyword(s):  
Phase Transitions ◽  
Magnetic Systems ◽  
Uniqueness Criteria

A model of phase transitions in magnetic systems

2013 ◽  
Vol 93 (3-4) ◽  
pp. 497-500 ◽  
Author(s):  
M. A. Dergachev ◽  
A. M. Savchenko ◽  
B. I. Sadovnikov
Keyword(s):  
Phase Transitions ◽  
Magnetic Systems

Transient dynamical behavior and phase transitions in magnetic systems

1990 ◽  
Vol 61 (1-2) ◽  
pp. 329-343 ◽  
Author(s):  
D. Hansel ◽  
C. Meunier ◽  
A. Verga
Keyword(s):  
Phase Transitions ◽  
Dynamical Behavior ◽  
Magnetic Systems

scholarly journals Phenomenological modelling of first order phase transitions in magnetic systems

2014 ◽  
Vol 115 (18) ◽  
pp. 183902 ◽  
Author(s):  
Yevgen Melikhov ◽  
R. L. Hadimani ◽  
Arun Raghunathan
Keyword(s):  
Phase Transitions ◽  
Magnetic Systems ◽  
First Order ◽  
First Order Phase

The effect of spin fluctuations on phase transitions in magnetic systems

2014 ◽  
Vol 69 (3) ◽  
pp. 230-232
Author(s):  
M. A. Dergachev ◽  
A. M. Savchenko ◽  
B. I. Sadovnikov
Keyword(s):  
Phase Transitions ◽  
Spin Fluctuations ◽  
Magnetic Systems

THE 1/z EXPANSION FOR MAGNETS AND JOSEPHSON ARRAYS

1992 ◽  
Vol 06 (22) ◽  
pp. 3483-3512 ◽  
Author(s):  
R.S. FISHMAN
Keyword(s):  
Phase Transitions ◽  
Coordination Number ◽  
Critical Behavior ◽  
Condensed Matter ◽  
Heisenberg Ferromagnet ◽  
Magnetic Systems ◽  
Josephson Junction Arrays ◽  
Josephson Arrays ◽  
Expansion Coefficients ◽  
Junction Arrays

Expansions in the inverse of the coordination number z have proved very useful in condensed matter physics. In this paper, we review the formalism of the 1/z expansion for magnetic systems and arrays of Josephson junctions. While many variations of the 1/z expansion have been developed, we concentrate on unrenormalized expansions, where the expansion coefficients are independent of the coordination number but may depend on dimension. The 1/z expansion has been used to study both first- and second-order phase transitions in a variety of systems, including the Ising and Heisenberg models, the Blume-Capel model, and Josephson-junction arrays. This expansion has also been used to study the dynamics of a Heisenberg ferromagnet. Although they sacrifice the rigor of the 1/z expansion, resummations or rearrangements of the 1/z expansion have proved useful to study critical behavior.

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