We study the consequences of rotational symmetry breaking in isotropic vector spin glasses. Starting from a microscopic model we identify the underlying symmetries of time-dependent (replica-dependent) SO(m) rotations. The hydrodynamic triad theory is confirmed and the spin-wave stiffness is related to a generalized transverse susceptibility. An expansion around mean-field theory is used to calculate the stiffness approximately.
Rotational symmetry breaking in Heisenberg spin glasses: A microscopic approach
Authors: Kotliar G, Sompolinsky H, Zippelius A.
Year of publication: 1987
Journal: Phys Rev B Condens Matter. 1987 Jan 1;35(1):311-328.
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