Frustration, in spin glasses

Anderson P W 1978 The concept of frustration in spin glasses J. Less-Common Metais 62 291-4... 

We note that the concept of geometrical frustration (4,5,30) predates the notion of frustration in spin glasses (34) by many years. 

Chowdhury, D., 1986, in Spin Glass and Other Frustrated Systems (World Scientific, Singapore) pp. 1, 31. 

Toulouse, G. Theory of the Frustration Effect in Spin Glasses . Comm. Phys. 1977, 2, 115-119. 

The frustration effects are implicit in many physical systems, as different as spin glass magnets, adsorbed monomolecular films and liquid crystals [32, 54, 55], In the case of polar mesogens the dipolar frustrations may be modelled by a spin system on a triangular lattice (Fig, 5), The corresponding Hamiltonian consists of a two particle dipolar potential that has competing parallel dipole and antiparallel dipole interactions [321, The system is analyzed in terms of dimers and trimers of dipoles. When the dipolar forces between two of them cancel, the third dipole experiences no overall interaction. It is free to permeate out of the layer, thus frustrating smectic order. 

Line shape studies of 7Rb and deuteron NMR lines have thrown more light on the frustration in the system. Blinc et al.5 have shown clearly the measurement of second moment can be related to the Edwards-Anderson spin-glass order parameter in the glass phase. 

While some disordered magnetic systems do display spin-glass behavior, those that are not geometrically frustrated can behave in a fundamentally different way. In... 

---