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arXiv · 1608.03693

Absence of first order transition in the random crystal field Blume-Capel model on a fully connected graph

Sumedha·Nabin K Jana
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Abstract

In this paper we solve the Blume-Capel model on a complete graph in the presence of random crystal field with a distribution, $P(Δ_i) =pδ(Δ_i-Δ)+(1-p) δ(Δ_i+Δ)$, using large deviation techniques. We find that the first order transition of the pure system is destroyed for $0.046 0.954$) even at zero temperature.

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Sumedha, Nabin K Jana. 2016-11-24. Absence of first order transition in the random crystal field Blume-Capel model on a fully connected graph. https://doi.org/10.1088/1751-8113%2F50%2F1%2F015003

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