
Exact diagonalization solution and coherent state variational method of the coupling system of carrier and ferromagnetic material
Author(s) -
Huang Shu-Wen,
Tao Liu,
Fan Yang,
Kelin Wang
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.491
Subject(s) - polaron , physics , ferromagnetism , coupling (piping) , ground state , boson , angular momentum , basis (linear algebra) , state (computer science) , quantum mechanics , mathematics , materials science , geometry , algorithm , metallurgy , electron
The problem of the coupling system of carrier and ferromagnetic material has been transformed into that of the coupling system of carrier and two kinds of Bosons by using Schwinger's oscillator theory of angular momentum. That the existence of bound polaron in ferromagnetic material depends on the existence of impurity potential in this material is solved exactly by diagonalization and the conclusion obtained is in agreement with the general view point of other works. The values of the energy of ground state obtained by the exact solution and coherent state variation method is agree quite well.The qualitative characters of state vector given by both methods are consistent. The results shows that the coherent state variation method is valid and precise enough for this problem. Exact solution method will provide a basis to check the validity of any other approximate methods.