Large-SApproach to Chiral Phases in Frustrated Spin Chains
Author(s) -
A. K. Kolezhuk
Publication year - 2002
Publication title -
progress of theoretical physics supplement
Language(s) - English
Resource type - Journals
ISSN - 0375-9687
DOI - 10.1143/ptps.145.29
Subject(s) - antiferromagnetism , spin (aerodynamics) , anisotropy , frustration , physics , integer (computer science) , coupling (piping) , point (geometry) , condensed matter physics , phase (matter) , term (time) , k nearest neighbors algorithm , nonlinear system , theoretical physics , order (exchange) , quantum mechanics , mathematics , materials science , geometry , computer science , finance , economics , artificial intelligence , metallurgy , thermodynamics , programming language
A large-S approach to the description of chiral phases in frustratedantiferromagnetic spin-S chains with easy-plane anisotropy is proposed. Theapproach is valid in the vicinity of the classical Lifshitz point j=1/4, wherej is the relative strength of the frustrating next-nearest-neighbor coupling.The effective theory turns out to be the nonlinear sigma-model with theadditional fourth-order term in spatial derivatives. The topological termpersists for j>1/4, which leads to disappearance of the chiral gapped phase forhalf-integer S, in accordance with the recent numerical results.Comment: uses ptptex.sty (included), 7 pages, 4 figs, to appear in Prog. Theor. Phys. Suppl. (Proc. of the 16th Nishinomiya Yukawa Memorial Symposium
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