Dynamical Properties of the Three-Dimensional XY Model at Low Temperatures | Zendy

T. Aoki | Zendy; Shigeo Homma | Zendy; Huzio Nakano | Zendy

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Dynamical Properties of the Three-Dimensional XY Model at Low Temperatures

Author(s) -

T. Aoki,

Shigeo Homma,

Huzio Nakano

Publication year - 1980

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.64.448

Subject(s) - physics , transverse plane , spin (aerodynamics) , classical xy model , spectrum (functional analysis) , mathematical physics , statistical physics , classical mechanics , quantum electrodynamics , quantum mechanics , thermodynamics , phase transition , structural engineering , engineering

On the basis of the generalized Langevin equations for the spin operators, the dynamical properties of the XY model at low temperatures are investigated in the spin wave approxi· mation. The transverse as well as longitudinal dampings are calculated, with the use of which the hydrodynamic equations are derived. The frequency spectrum of spin wave thence obtained agrees with the result obtained hydrodynamically by Halperin and Hohenberg. The microscopic expressions for the various parameters appearing in their hydrodynamic equations are also determined.

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