The Berezinskii-Kosterlitz-Thouless transition and correlations in the XY kagomé antiferromagnet
V. B. Cherepanov, I. V. Kolokolov+, E. V. Podivilov*
Hummingberg Ltd., Toronto, Ontario, Canada M2H 2S6,
+Budker Institute of Nuclear Physics, 630090 Novosibirsk, Russia
*Institute of Automation and Electrometry RAS, 630090 Novosibirsk, Russia
PACS: 74.50.+r, 75.10.Hk, 75.50.Ee
Abstract
The problem of the Berezinskii-Kosterlitz-Thouless
transition in the highly frustrated XY kagomé antiferromagnet
is solved. The transition temperature is found. It is shown that
the spin correlation function exponentially decays with distance
even in the low-temperature phase, in contrast to the order
parameter correlation function, which decays algebraically with
distance.