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The Semi‐Infinite Quantum Spin‐1/2 XY Model
Author(s) -
Cabral Neto J.,
Ricardo de Sousa J.
Publication year - 2001
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(200105)225:1<223::aid-pssb223>3.0.co;2-8
Subject(s) - condensed matter physics , classical xy model , ising model , physics , renormalization group , multicritical point , coupling constant , critical exponent , k nearest neighbors algorithm , exponent , spin (aerodynamics) , anisotropy , isotropy , phase transition , phase (matter) , quantum mechanics , phase diagram , thermodynamics , linguistics , philosophy , artificial intelligence , computer science
The phase transition of the semi‐infinite simple cubic quantum spin 1/2 anisotropic XY model is studied by the mean field renormalization group approach. The critical temperature as a function of the Δ parameter is obtained, where Δ = J s / J b —1, J s and J b are the nearest‐neighbor coupling constants at the surface and bulk, respectively. We have also obtained the multicritical point ( Δ c ) and crossover exponent ( ϕ ) for the Ising and isotropic XY limits with F and AF interactions.