28 citations · 64 across the 8 of their papers we have counts for
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Partition function zeros of the one-dimensional Potts model: The recursive method
R. G. Ghulghazaryan, N. S. Ananikian
The Yang-Lee, Fisher and Potts zeros of the one-dimensional Q-state Potts model are studied using the theory of dynamical systems. An exact recurrence relation for the partition fu…
Yang-Lee Zeros of the Q-state Potts Model on Recursive Lattices
R. G. Ghulghazaryan, N. S. Ananikian, P. M. A. Sloot
The Yang-Lee zeros of the Q-state Potts model on recursive lattices are studied for non-integer values of Q. Considering 1D lattice as a Bethe lattice with coordination number equa…
Yang-Lee and Fisher Zeros of Multisite Interaction Ising Models on the Cayley-type Lattices
N. S. Ananikian, R. G. Ghulghazaryan
A general analytical formula for recurrence relations of multisite interaction Ising models in an external magnetic field on the Cayley-type lattices is derived. Using the theory o…
Exact solution of a Z(4) gauge Potts model on planar lattices
N. S. Ananikian, R. G. Ghulghazaryan, N. Sh. Izmailian +1
The exact solution of a general Z(4) gauge Potts model with a single and double plaquette representation of the action is found on a subspace of gauge-coupling parameters on the sq…
Correlation Functions of Multisite Interaction Spin-S models on the Bethe-like Lattices
R. G. Ghulghazaryan
Multisite interaction spin-S models in an external magnetic field are studied recursively on the Bethe-like lattices. The transfer-matrix method is extended to calculate exactly th…
Thermodynamic chaos and infinitely many critical exponents in the Baxter-Wu model
S. K. Dallakyan, N. S. Ananikian, R. G. Ghulghazaryan
The mechanisms leading to thermodynamic chaos in the Baxter-Wu model is considered. We compare the Baxter-Wu model with triangular antiferromagnets and discuss the difficulties rel…