The dilute quantum Heisenberg antiferromagnet
Author(s) -
C. C. Wan,
A. B. Harris,
Joan Adler
Publication year - 1991
Publication title -
journal of applied physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.699
H-Index - 319
eISSN - 1089-7550
pISSN - 0021-8979
DOI - 10.1063/1.348123
Subject(s) - antiferromagnetism , condensed matter physics , exponent , heisenberg model , crossover , percolation (cognitive psychology) , zero temperature , physics , series (stratigraphy) , spin (aerodynamics) , critical exponent , zero (linguistics) , thermodynamics , phase transition , paleontology , philosophy , linguistics , artificial intelligence , neuroscience , computer science , biology
Series expansions are used to treat the randomly diluted spin‐1/2 Heisenberg antiferromagnet at zero temperature. A series is obtained at zero temperature in powers of the concentration for many correlation functions and for the correlation length from which static, dynamic, and crossover exponents are estimated. The correlation length exponent is found to be 0.77±0.10 in two dimensions. The critical concentration for the appearance of long‐range order is indistinguishable from the percolation threshold.
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