Frequency Spectra of Body-Centered Cubic Lattices

1964 ◽  
Vol 134 (6A) ◽  
pp. A1486-A1491 ◽  
Author(s):  
B. C. Clark ◽  
D. C. Gazis ◽  
R. F. Wallis
Keyword(s):  
Body Centered Cubic ◽  
Frequency Spectra ◽  
Cubic Lattices

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

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.

Zero-Point Effects in Heisenberg Antiferromagnets with Arbitrary Range of Interaction

1972 ◽  
Vol 50 (23) ◽  
pp. 2991-2996 ◽  
Author(s):  
M. F. Collins ◽  
V. K. Tondon
Keyword(s):  
Ground State ◽  
State Energy ◽  
Correction Term ◽  
Zero Point ◽  
Face Centered Cubic ◽  
Heisenberg Antiferromagnet ◽  
Body Centered Cubic ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Face Centered

The ground state energy, spin-wave energy, and sublattice magnetization have been calculated for a Heisenberg antiferromagnet at the absolute zero of temperature. The treatment extends the earlier work of Anderson, Kubo, and Oguchi to apply for any two-sublattice antiferromagnet with arbitrary range of interaction. It is shown that for each exchange interaction there is a different characteristic correction term to the energies. Explicit calculations are made of these terms for the simple cubic, body-centered cubic, and face-centered cubic lattices, with both first- and second-neighbor interactions. Applications are also made to NiO and MnO. An extra term in the magnetization series beyond that given by earlier workers is derived.

Theory of surface force-constant changes in body-centered cubic lattices

1974 ◽  
Vol 43 (2) ◽  
pp. 400-416 ◽  
Author(s):  
D.J. Cheng ◽  
R.F. Wallis ◽  
L. Dobrzynski
Keyword(s):  
Force Constant ◽  
Surface Force ◽  
Body Centered Cubic ◽  
Cubic Lattices

Matching Boundary Conditions for Scalar Waves in Body-Centered-Cubic Lattices

2013 ◽  
Vol 5 (03) ◽  
pp. 337-350 ◽  
Author(s):  
Ming Fang ◽  
Xianming Wang ◽  
Zhihui Li ◽  
Shaoqiang Tang
Keyword(s):  
Dispersion Relation ◽  
Boundary Conditions ◽  
Normal Incidence ◽  
Absorbing Boundary Conditions ◽  
The Body ◽  
Body Centered Cubic ◽  
Absorbing Boundary ◽  
Cubic Lattices ◽  
Scalar Waves ◽  
Satisfactory Manner

AbstractMatching boundary conditions (MBC’s) are proposed to treat scalar waves in the body-centered-cubic lattices. By matching the dispersion relation, we construct MBC’s for normal incidence and incidence with an angle α. Multiplication of MBC operators then leads to multi-directional absorbing boundary conditions. The effectiveness are illustrated by the reflection coefficient analysis and wave packet tests. In particular, the designed M1M1 treats the scalar waves in a satisfactory manner.

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