The Luttinger-Tisza method

作者: D.B. Litvin

DOI: 10.1016/0031-8914(74)90257-2

关键词:

摘要: Abstract The Luttinger-Tisza method and generalizations of this for determining the minimum energy spin arrangement in a crystal subject to certain strong conditions are reviewed. It is shown that one can always replace by set additional which simplest cases identical with single weak condition introduced method. A general calculating arrangement, based on space group symmetry magnetic atom arrangements, given, Niemeyer, permutation groups, be equivalent also known conjecture concerning periodicity sufficient, but not necessary, energy.

参考文章(20)
James A. Ibers, Lonsdale, Kathleen, Dame, John S. Kasper, Gerard D. Rieck, Walter C. Hamilton, Norman Fordyce McKerron Henry, Caroline H. MacGillavry, International tables for X-ray crystallography UT Back-in-Print Service. ,(1962)
Elliott Waters Montroll, I. P Ipatova, Alexei Alexei Maradudin, George Herbert Weiss, Theory of lattice dynamics in the harmonic approximation Published in <b>1971</b> in New York NY) by Academic press. ,(1971)
Akio Yoshimori, A New Type of Antiferromagnetic Structure in the Rutile Type Crystal Journal of the Physical Society of Japan. ,vol. 14, pp. 807- 821 ,(1959) , 10.1143/JPSJ.14.807
E. Lagendijk, H.W.J. Blöte, W.J. Huiskamp, Caloric and magnetic study of five rare-earth ionic compounds having predominantly magnetic dipole-dipole interaction Physica D: Nonlinear Phenomena. ,vol. 61, pp. 220- 240 ,(1972) , 10.1016/0031-8914(72)90069-9
Sushil K. Misra, Generalization of the Luttinger-Tisza Method Physical Review B. ,vol. 8, pp. 2026- 2032 ,(1973) , 10.1103/PHYSREVB.8.2026
J. M. Luttinger, L. Tisza, Theory of Dipole Interaction in Crystals Physical Review. ,vol. 70, pp. 954- 964 ,(1946) , 10.1103/PHYSREV.70.954
D. H. Lyons, T. A. Kaplan, K. Dwight, N. Menyuk, Classical Theory of the Ground Spin-State in Cubic Spinels Physical Review. ,vol. 126, pp. 540- 555 ,(1962) , 10.1103/PHYSREV.126.540
Z. Friedman, J. Felsteiner, On the solution of the Luttinger-Tisza problem for magnetic systems Philosophical Magazine. ,vol. 29, pp. 957- 960 ,(1974) , 10.1080/14786437408222082