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Quantum Fluctuations in the Axial Next-Nearest-Neighbor Ising Model
Author(s) -
A. B. Harris,
Cristian Micheletti,
Julia M. Yeomans
Publication year - 1995
Publication title -
physical review letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.688
H-Index - 673
eISSN - 1079-7114
pISSN - 0031-9007
DOI - 10.1103/physrevlett.74.3045
Subject(s) - ising model , physics , condensed matter physics , k nearest neighbors algorithm , anisotropy , order (exchange) , quantum fluctuation , spin (aerodynamics) , monotonic function , quantum , energy (signal processing) , state (computer science) , exchange interaction , quantum mechanics , ferromagnetism , thermodynamics , mathematics , mathematical analysis , finance , algorithm , artificial intelligence , computer science , economics
We obtain the axial next-nearest-neighbor Ising model from a Heisenberg model with large single-ion anisotropy energy, D, as might be relevant for helical spin systems. We treat quantum fluctuations to lowest order in 1/S at zero temperature within an expansion in J/D, where J is an exchange energy. The transition from the state with periodicity p=4 to the uniform state (p=) occurs via a sequence of first order transitions in which p increases monotonically. © 1995 The American Physical Society

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