LONG-TIME DYNAMICS VIA DIRECT SUMMATION OF INFINITE CONTINUED FRACTIONS

被引：37

作者：

CAI, ZX ^{[1
]}

SEN, S ^{[1
]}

MAHANTI, SD ^{[1
]}

机构：

[1] MICHIGAN STATE UNIV,DEPT PHYS,E LANSING,MI 48824

来源：

PHYSICAL REVIEW LETTERS | 1992年 / 68卷 / 11期

关键词：

D O I：

10.1103/PhysRevLett.68.1637

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Mori theory leads to in(finite) continued fractions [I(F)CF's] which upon inverse Laplace transformation (ILT) give the dynamical correlations in Hamiltonian systems. We propose a direct summation method to evaluate these ICF's, e.g., 1/[z + DELTA-1(z + ... to infinity)], by replacing them with FCF's with poles L = 10-zeta 2 less-than-or-equal-to zeta less-than-or-equal-to 5, for DELTA(mu) = mu(phi), phi < 2. Long-time dynamics is obtained upon an ILT of the ICF for 0 less-than-or-equal-to t less-than-or-equal-to tau with tau = f(phi,zeta) being large. Our studies on dynamical correlations for boundary spins in S = 1/2 XY chains agree very well with a recent exact solution for these correlations.

引用

页码：1637 / 1640

页数：4