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本文中利用变换生成函数的技术计算了在Y1Ba2Cu3O7晶格上无规行走的逃逸几率,得到了弱耦合极限下的渐近表达式,推算了Y1Ba2Cu3O7的维度与Cu-O层间的耦合参量的关系,并得到从低维到三维的渡越(crossover)。理论计算表明,Y1Ba2Cu3O7是一个十分接近三维的体系。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.
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