Magnetic States of a Quenched Random Site Heisenberg Magnet with Competitive Exchange Interactions. I. High-Temperature Magnetic States in Simple and Body-Centered Cubic Lattices

1982 ◽  
Vol 109 (2) ◽  
pp. 773-784 ◽  
Author(s):  
M. V. Medvedev ◽  
A. V. Zaborov
Keyword(s):  
High Temperature ◽  
Exchange Interactions ◽  
Heisenberg Magnet ◽  
Body Centered Cubic ◽  
Cubic Lattices ◽  
Random Site ◽  
Magnetic States

scholarly journals Phase transition induced by an external field in a three-dimensional isotropic Heisenberg antiferromagnet

2018 ◽  
Vol 32 (32) ◽  
pp. 1850390
Author(s):  
Minos A. Neto ◽  
J. Roberto Viana ◽  
Octavio D. R. Salmon ◽  
E. Bublitz Filho ◽  
José Ricardo de Sousa
Keyword(s):  
Magnetic Field ◽  
Mean Field ◽  
Three Dimensional ◽  
Effective Field ◽  
The Body ◽  
Bravais Lattice ◽  
Body Centered Cubic ◽  
Cubic Lattice ◽  
Cubic Lattices ◽  
Simple Cubic

The critical frontier of the isotropic antiferromagnetic Heisenberg model in a magnetic field along the z-axis has been studied by mean-field and effective-field renormalization group calculations. These methods, abbreviated as MFRG and EFRG, are based on the comparison of two clusters of different sizes, each of them trying to mimic a specific Bravais lattice. The frontier line in the plane of temperature versus magnetic field was obtained for the simple cubic and the body-centered cubic lattices. Spin clusters with sizes N = 1, 2, 4 were used so as to implement MFRG-12, EFRG-12 and EFRG-24 numerical equations. For the simple cubic lattice, the MFRG frontier exhibits a notorious re-entrant behavior. This problem is improved by the EFRG technique. However, both methods agree at lower fields. For the body-centered cubic lattice, the MFRG method did not work. As in the cubic lattice, all the EFRG results agree at lower fields. Nevertheless, the EFRG-12 approach gave no solution for very low temperatures. Comparisons with other methods have been discussed.

Frequency Spectra of Body-Centered-Cubic Lattices

1970 ◽  
Vol 2 (8) ◽  
pp. 3443-3443 ◽  
Author(s):  
B. C. Clark ◽  
D. C. Gazis ◽  
R. F. Wallis
Keyword(s):  
Body Centered Cubic ◽  
Frequency Spectra ◽  
Cubic Lattices

The high-temperature Gruneisen constant of cubic lattices

1970 ◽  
Vol 48 (1) ◽  
pp. 9-12 ◽  
Author(s):  
J. S. Brown
Keyword(s):  
High Temperature ◽  
Explicit Formula ◽  
Matrix Algebra ◽  
Nearest Neighbor ◽  
Grüneisen Parameter ◽  
Gruneisen Parameter ◽  
Cubic Crystal ◽  
Cubic Lattices ◽  
Grüneisen Constant

An explicit formula is derived for the Gruneisen parameter γ∞ of a cubic crystal. The result which follows simply from a theorem of matrix algebra is illustrated by application to the 6–12 nearest-neighbor model of solid neon.

scholarly journals Extended magnetic exchange interactions in the high-temperature ferromagnet MnBi

2016 ◽  
Vol 108 (19) ◽  
pp. 192403 ◽  
Author(s):  
T. J. Williams ◽  
A. E. Taylor ◽  
A. D. Christianson ◽  
S. E. Hahn ◽  
R. S. Fishman ◽  
...  
Keyword(s):  
High Temperature ◽  
Exchange Interactions ◽  
Magnetic Exchange
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