Almeida-Thouless transition below six dimensions

Details Almeida-Thouless transition below six dimensions Almeida-Thouless transition below six dimensions

2008-09-10

arxiv.org/abs/0809.1839v1

Phys. Rev. B 78, 220401(R) (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 1 figure

Scientific paper

10.1103/PhysRevB.78.220401

The existence of an Almeida-Thouless (AT) instability surface below the upper critical dimension 6 is demonstrated in the generic replica symmetric field theory. Renormalization flows from around the zero-field fixed point are investigated. By introducing the temperature and magnetic field dependence of the bare parameters, the fate of the AT line can be followed from mean field (infinite dimensions) down to d<6.

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