TY - JOUR
T1 - A comparison of plane rotor and Ising models
AU - Aizenman, M.
AU - Simon, B.
N1 - Funding Information:
2 Also at Department of Mathematics; research partially sup-ported by US National Science Foundation under Grant MCS-78-01885.
Funding Information:
1 Research partially supported by US National Science Founda-tion under Grant PHY-7825390.
PY - 1980/3/31
Y1 - 1980/3/31
N2 - Let βcI be the critical inverse temperature in an Ising ferromagnet with pair interactions and let βcR be the critical temperatures in the plane rotor (classical xy model) with the same couplings. We prove that βcR ≥ 2βcI. This yields the lower bound βc ≥ 0.88 for the Kosterlitz-Thouless transition.
AB - Let βcI be the critical inverse temperature in an Ising ferromagnet with pair interactions and let βcR be the critical temperatures in the plane rotor (classical xy model) with the same couplings. We prove that βcR ≥ 2βcI. This yields the lower bound βc ≥ 0.88 for the Kosterlitz-Thouless transition.
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U2 - 10.1016/0375-9601(80)90493-4
DO - 10.1016/0375-9601(80)90493-4
M3 - Article
AN - SCOPUS:0042536737
SN - 0375-9601
VL - 76
SP - 281
EP - 282
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3-4
ER -