Critical Exponents of Ising-Like Heisenberg Antiferromagnets on the Hexagonal Lattice

概要

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Critical properties of the two successive phase transitions of Ising-like Heisenberg antiferro-naagnets on the hexagonal lattice are exartained by the llVIonte Carlo naethod. In order to obtainthe critical exponents, tl?e finite size scaling methods are used f'or the lattice sizes of' L= 18 x 48.Using the reweighting A4onte Carlo rnethod, the exponents at the higher critical tetnperattzreare estimated as 1 /zz:l.48li0.0l9 and 'y/zz:l.98Oi0.Ol6, xvlaicla agree with those of' the 3DXYmodel. At the loxver critical teznperattrre, standard procedtrre of the reweighting raaethod doesnot give valtres of the exponents with satisfactory precision. Thtrs we estimate the exponentscarefully with aid of' the ordinary llvlonte Carlo rnethod at variotrs tenaperatures near T.. Thevalues of 1/!/ 6 1.48-l-0.006 and 7/v t1.97i0.O50 are obtarined and we concltrde that those areconsistent xvith the trniversality class of the 3DXY model.
社団法人日本物理学会の論文
1998-03-15