20 citations · 128 across the 30 of their papers we have counts for
30 papers
Disentanglement, disorder lines, and Majorana edge states in a solvable quantum chain
Gennady Y. Chitov, Karun Gadge, P. N. Timonin
We study the exactly solvable 1D model: the dimerized chain with uniform and staggered transverse fields, equivalent upon fermionization to the noninteracting dimerized Kitaev…
Disorder lines, modulation, and partition function zeros in free fermion models
P. N. Timonin, Gennady Y. Chitov
The modulation is analyzed from the analytical properties of zeros of free fermionic partition function on the complex plane of wave numbers. It is shown how these properties are r…
Statistics of geometric clusters in Potts model: statistical mechanics approach
P. N. Timonin
The percolation of Potts spins with equal values in Potts model on graphs (networks) is considered. The general method for finding the Potts clusters size distributions is develope…
String and conventional order parameters in the solvable modulated quantum chain
Gennady Y. Chitov, Toplal Pandey, P. N. Timonin
The phase diagram and the order parameters of the exactly solvable quantum 1D model are analysed. The model in its spin representation is the dimerized XY spin chain in the presenc…
Statistics of geometric clusters in the Ising model on a Bethe lattice: statistical mechanics approach
P. N. Timonin
The statistical mechanics method is developed for determination of generating function of like-sign spin clusters' size distribution in Ising model as modification of Ising-Potts m…
Statistical mechanics of high-density bond percolation
P. N. Timonin
High-density (HD) percolation describes the percolation over specific -clusters, which are the compact sets of sites each connected to nearest filled sites at least. It tak…