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Phys. Rev. B 49, 3592–3595 (1994)

Long-time dynamics of the infinite-temperature Heisenberg magnet

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Michael Chertkov
Physics Department, Weizmann Institute of Science, Rehovot 76100, Israel

Igor Kolokolov
Budker Institute for Nuclear Physics, Novosibirsk 630 090, Russia
Instituto Nazionale di Fisica Nuclear, Sezione di Milano, 20133 Milano, via Celoria 16, Italy

Received 6 July 1993; published in the issue dated 1 February 1994

Infinite-temperature long-time dynamics of Heisenberg model H^=-1/2tsumi,jJijS^iS^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=0;t)∝const×t-6/7. All results are obtained by straightforward procedures without any assumptions of the phenomenological character.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.49.3592
DOI:
10.1103/PhysRevB.49.3592
PACS:
75.10.Jm, 02.30.Cj