Multiple transitions in an infinite rangep-spin random crystal field Blume-Capel model,Physical Review E

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Multiple transitions in an infinite rangep-spin random crystal field Blume-Capel model
Physical Review E ( IF 2.2 ) Pub Date : 2022-09-26 , DOI: 10.1103/physreve.106.034134
Santanu Das ₁ , Sumedha ₁

Affiliation

We study a

p

-spin model with ferromagnetic coupling and quenched random crystal fields for

p \geq 3

for spin-1 systems. We find that the model has lines of first-order transitions at finite temperature

(T)

for all

p \geq 3

. For bimodal distribution of the random crystal field these lines meet at a triple point for weak strength of the crystal field

(Δ)

. Beyond a critical strength of

Δ

, they do not meet and one of the lines ends at a critical point

(T_{c})

. Interestingly, we find that on increasing

T

from

T_{c}

, keeping other parameters fixed, the system undergoes one more transition which is first order in its character. The system thus exhibits a Gardner-like transition for a range of parameters for all finite