TY - JOUR
T1 - Vortex condensation in two-dimensional non-abelian spin models
AU - Solomon, Sorin
AU - Stavans, Yoel
AU - Domany, Eytan
PY - 1982/5/20
Y1 - 1982/5/20
N2 - We study by Monte Carlo simulation a family of two-dimensional models of coupled "matter" S and gauge σ = ± 1 fields. As the gauge coupling λ varies, the model interpolates between the Heisenberg (λ = ∞) and P2(λ = 0) models. We present evidence for vortex condensation at finite temperatures Tc(λ), below which the thermodynamic functions have the same behavior as those of the Heisenberg model. For a range of λ values a first-order transition is found at Tc(λ). Since similar results were found for the same model with XY spins known to have a Kosterlitz-Thouless transition, we cannot rule out the existence of an infinite-order transition at Tc(λ) for the model with three component spins.
AB - We study by Monte Carlo simulation a family of two-dimensional models of coupled "matter" S and gauge σ = ± 1 fields. As the gauge coupling λ varies, the model interpolates between the Heisenberg (λ = ∞) and P2(λ = 0) models. We present evidence for vortex condensation at finite temperatures Tc(λ), below which the thermodynamic functions have the same behavior as those of the Heisenberg model. For a range of λ values a first-order transition is found at Tc(λ). Since similar results were found for the same model with XY spins known to have a Kosterlitz-Thouless transition, we cannot rule out the existence of an infinite-order transition at Tc(λ) for the model with three component spins.
UR - http://www.scopus.com/inward/record.url?scp=0001216751&partnerID=8YFLogxK
U2 - 10.1016/0370-2693(82)91072-3
DO - 10.1016/0370-2693(82)91072-3
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AN - SCOPUS:0001216751
SN - 0370-2693
VL - 112
SP - 373
EP - 378
JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
IS - 4-5
ER -