[PDF]Curvature-induced frustration in the XY model on hyperbolic ...
www.diva-portal.se/smash/get/diva2:277105/FULLTEXT01.pdf
by SK Baek - Cited by 17 - Related articles
We study low-temperature properties of the XY spin model on a negatively curved surface. Geometric ... 1(a) in terms of the Poincaré disk representation [11]
In summary, we have demonstrated an apparent zero-
temperature orientational glass transition in the XY spin
model on a negatively curved surface. MC simulations re-
vealed that lowering T makes high-energy bonds gather
to form clusters, which remain floating with very long
relaxation times. The long lifetime fluctuation in clus-
ter distribution follows an Arrhenius-type relaxation at
low T and the singularity of spin-glass susceptibility
is expected to arise only at Tg = 0. These observa-
tions are consequences of geometry of the surface, where
curvature-induced frustration in local (and thus global)
spin configurations yields ground-state degeneracy.
temperature orientational glass transition in the XY spin
model on a negatively curved surface. MC simulations re-
vealed that lowering T makes high-energy bonds gather
to form clusters, which remain floating with very long
relaxation times. The long lifetime fluctuation in clus-
ter distribution follows an Arrhenius-type relaxation at
low T and the singularity of spin-glass susceptibility
is expected to arise only at Tg = 0. These observa-
tions are consequences of geometry of the surface, where
curvature-induced frustration in local (and thus global)
spin configurations yields ground-state degeneracy.
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