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Journal de Physique 39, 6 (1978) 693-700
On the concept of local invariance in the theory of spin glasses
I.E. Dzyaloshinsk, G.E. Volovik
(1978)

We consider the possibility of applying the concept of local exchange invariance (Yang-Mills fields [3]) to describe spin glasses. We start with the microscopic discrete local invariance and frustration concept studied by Toulouse [8] and Villain [7] and show that on the macroscopic level a spin glass is naturally described by continuous Yang-Mills fields. In particular, magnetic and electric fields have the meaning of density and current of disclinations. We also study types of long-range order, oscillation spectra and possible phase transitions in such systems.
Physics/Physics archives
exchange interactions electron – spin glasses – Yang Mills theory
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