Critical interface: twisting spin glasses at $T_c$

Details Critical interface: twisting spin glasses at $T_c$ Critical interface: twisting spin glasses at $T_c$

2009-08-10

arxiv.org/abs/0908.1314v3

Phys. Rev. B 82, 144427 (2010)

Physics

Condensed Matter

Disordered Systems and Neural Networks

Final version accepted in PRB. Ref. 7 corrected

Scientific paper

We consider identical copies of spin glasses in finite dimension coupled at the boundaries. This allows to identify the spin glass analogous of twisted boundary conditions in ferromagnetic system and leads to the definition of an interface free-energy that is positively defined and that should scale with a positive power of the system size in the spin glass phase. In this note we study the behavior of the interface at the spin glass critical temperature $T_c$ within mean field theory. We show that the leading scaling of the interface free-energy does not depend on replica symmetry breaking, and can be obtained by simple scaling arguments using a cubic theory for critical spin glasses.

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