Long-time dynamics of the infinite-temperature Heisenberg magnet
Abstract
Infinite-temperature long-time dynamics of Heisenberg model H^=-1/2tsumi,jJijS^i.S^j is investigated. It is shown that the quantum-spin pair correlator is equal to the correlator of a classically evaluated vector field averaged over the initial conditions with respect to the Gaussian measure. In the continuous-limit case, the scaling estimations allow one to find the one-point correlator that turns out to be C(r=0t)~const×t-6/7. All results are obtained by straightforward procedures without any assumptions of the phenomenological character.
- Publication:
-
Physical Review B
- Pub Date:
- February 1994
- DOI:
- 10.1103/PhysRevB.49.3592
- arXiv:
- arXiv:cond-mat/9402036
- Bibcode:
- 1994PhRvB..49.3592C
- Keywords:
-
- 75.10.Jm;
- 02.30.Cj;
- Quantized spin models;
- Measure and integration;
- Condensed Matter
- E-Print:
- 11 pages, RevTex 3.0, to be published in PRB Feb. 1994