期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
卷 34, 期 33, 页码 L461-L466出版社
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/34/33/104
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We investigate the critical parameters of an order-disorder quantum phase transition in the spin-1/2 J-J ' Heisenberg and XY antiferromagnets on a square lattice. Based on the excitation gaps calculated by the exact diagonalization technique for systems up to 32 spins and finite-size scaling analysis we estimate the critical couplings and exponents of the correlation length for both models. Our analysis confirms the universal critical behaviour of these quantum phase transitions: they belong to 3D O(3) and 3D O(2) universality classes, respectively.
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