Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2008-02-06
Phys. Rev. E 77, 061110 (2008)
Physics
Condensed Matter
Disordered Systems and Neural Networks
Added 7 more references. Published version. 7 pages, 7 figures, 1 table
Scientific paper
10.1103/PhysRevE.77.061110
The spatially uniaxially anisotropic d=3 Ising spin glass is solved exactly on a hierarchical lattice. Five different ordered phases, namely ferromagnetic, columnar, layered, antiferromagnetic, and spin-glass phases, are found in the global phase diagram. The spin-glass phase is more extensive when randomness is introduced within the planes than when it is introduced in lines along one direction. Phase diagram cross-sections, with no Nishimori symmetry, with Nishimori symmetry lines, or entirely imbedded into Nishimori symmetry, are studied. The boundary between the ferromagnetic and spin-glass phases can be either reentrant or forward, that is either receding from or penetrating into the spin-glass phase, as temperature is lowered. However, this boundary is always reentrant when the multicritical point terminating it is on the Nishimori symmetry line.
Berker Nihat A.
Güven Can
Hinczewski Michael
Nishimori Hidetoshi
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