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Study of the spin correlation and the percolation threshold in the B-site spinel


 
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1. Title Title of document Study of the spin correlation and the percolation threshold in the B-site spinel
 
2. Creator Author's name, affiliation, country M. Houssa; Laboratoire de physique du solide. Université Sidi Mohammed Ben Abdellah,Faculté des sciences Dhar Mahraz. B.P. 1796, Fès Atlas- Fès; Morocco
 
2. Creator Author's name, affiliation, country M. Hamedoun; Laboratoire de physique du solide. Université Sidi Mohammed Ben Abdellah,Faculté des sciences Dhar Mahraz. B.P. 1796, Fès Atlas- Fès; Morocco
 
2. Creator Author's name, affiliation, country N. Benzakour; Laboratoire de physique du solide. Université Sidi Mohammed Ben Abdellah,Faculté des sciences Dhar Mahraz. B.P. 1796, Fès Atlas- Fès; Morocco
 
2. Creator Author's name, affiliation, country A. Hourmatallah; Groupe de physique du solide, Ecole Normale Superieure, Fés; Morocco
 
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4. Description Abstract

High-temperature series expansion of the correlation function on the B- spinel lattice are computed up to order 6 in β = 1/(kBT) for Heisenberg model including both the nearest and next-nearest-neighbor interactions J1 and J2 respectively. The behavior with the temperature and the site dilution is presented. The approach is applied to the experimental results of the B-spinel ZnCr2xAl2-2xS4.

The critical temperature and the critical exponents for the susceptibility and the correlation length are deduced by applying the Padé approximant methods. The following estimates are obtained for the familiar critical exponents: γ=1.382±0.012 and ν = 0.691±0.011. These values are not sensitive to the dilution ratio x.

The bond percolation threshold xp is determined by studying the disorder variation of the correlation length ξ. The xp is considered as the concentration at which ξ vanishes. The obtained values are xp =0.27 when only J1 is considered and 0.23 when both J1 and J2 are considered.
 
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7. Date (YYYY-MM-DD) 07-03-2011
 
8. Type Status & genre Peer-reviewed Article
 
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9. Format File format PDF
 
10. Identifier Uniform Resource Identifier https://revues.imist.ma/index.php/MJCM/article/view/50
 
11. Source Title; vol., no. (year) Moroccan Journal of Condensed Matter; Vol 2 (1999)
 
12. Language English=en en
 
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15. Rights Copyright and permissions Copyright (c)