Spin-wave theory of critical dynamics in one- and two-dimensional Heisenberg models: Failure of the dynamic-scaling hypothesis and the mode-coupling theory

Journal Article · Sun Jun 01 04:00:00 EDT 1980 · Phys. Rev., B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.21.5356· OSTI ID:5362929

Reiter, G

The usual spin-wave theory, when applied to the calculation of rotationally invariant averages in the Heisenberg model, permits exact calculation of static and dynamical correlation functions in one dimension. The results are also believed to be exact in two dimensions, although this has not been shown rigorously here. The one-dimensional ferromagnet in the hydrodynamic regime and the two-dimensional ferromagnet at all wave vectors do not satisfy the dynamical scaling hypothesis. There is no characteristic exponent in these cases. The present results contradict the prediction of the mode-coupling theory.

• Research Organization: Texas AandM University, College Station, Texas 77843
• OSTI ID: 5362929
• Journal Information: Phys. Rev., B: Condens. Matter; (United States), Journal Name: Phys. Rev., B: Condens. Matter; (United States) Vol. 21:11; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656000* -- Condensed Matter Physics
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
CORRELATION FUNCTIONS
CRYSTAL MODELS
FERROMAGNETIC MATERIALS
FERROMAGNETISM
FUNCTIONS
HEISENBERG MODEL
MAGNETIC MATERIALS
MAGNETISM
MATERIALS
MATHEMATICAL MODELS
ONE-DIMENSIONAL CALCULATIONS
SCALING LAWS
SPIN WAVES
TWO-DIMENSIONAL CALCULATIONS