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Critical behavior and phase diagrams of a spin-1 Blume-Capel model with random crystal field interactions: An effective field theory analysis | | Yusuf Yüksel
; Ümit Akinci
; Hamza Polat
; | | Date: |
21 Jul 2011 | | Abstract: | A spin-1 Blume-Capel model with dilute and random crystal fields is examined
for honeycomb and square lattices by introducing an effective-field
approximation that takes into account the correlations between different spins
that emerge when expanding the identities. For dilute crystal fields, we have
given a detailed exploration of the global phase diagrams of the system in
$k_{B}T_{c}/J-D/J$ plane with the second and first order transitions, as well
as tricritical points. We have also investigated the effect of the random
crystal field distribution characterized by two crystal field parameters $D/J$
and $ riangle/J$ on the phase diagrams of the system. The system exhibits
clear distinctions in qualitative manner with coordination number $q$ for
random crystal fields with $ riangle/J,D/J
eq0$. We have also found that,
under certain conditions, the system may exhibit a number of interesting and
unusual phenomena, such as reentrant behavior of first and second order, as
well as a double reentrance with three successive phase transitions. | | Source: | arXiv, 1107.4194 | | Services: | Forum | Review | PDF | Favorites | |
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