Open AccessANALYSIS OF THE DIMENSIONALITY OF Y1Ba2Cu3O7 CRYSTAL LATTICS
Author(s) -
Shen Shun-Qing,
Zheng Da-Fang,
Ruibao Tao
Publication year - 1988
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.37.1829
Subject(s) - curse of dimensionality , isotropy , lattice (music) , physics , coupling (piping) , statistical physics , limit (mathematics) , condensed matter physics , materials science , statistics , mathematical analysis , quantum mechanics , mathematics , acoustics , metallurgy
By using the technique of transforming generating function, we have calculated the escape probability of random walk on the Y1Ba2Cu3O7 lattice and have obtained its asymptotic expression in the weak coupling limit. Comparison of the expressions of the escape probability and the dimension in the isotropic model yields a relation between the dimensionality and the layer coupling in Y1Ba2Cu3O7. Theoretical cal ulation indicates that Y1Ba2Cu3O7 is very close to a three-dimensional systems.