13 citations · 82 across the 14 of their papers we have counts for
14 papers
Quantum phase crossover and chaos in generalized Jahn-Teller lattice model
Eva Majerníková, Serge Shpyrko
The generalized multispin Jahn-Teller model on a finite lattice or formally equivalent Dicke model extended to two long-wavelength coherent bosons of different frequencies is shown…
Ising instability of a Holstein phonon mode in graphene
K. Ziegler, E. Kogan, E. Majernikova +1
We study the thermal distribution of phonons in a graphene sheet. Due to the two electronic bands there are two out-of-plane phonon modes with respect to the two sublattices. One o…
Quantum phase transitions and quantum chaos in generalized Dicke and Jahn-Teller polaron model and finite-size effects
E. Majernikova, S. Shpyrko
The Dicke model extended to two bosons of different frequencies or equivalent generalized Jahn-Teller lattice model are shown to exhibit a spontaneous quantum phase transition betw…
Bhattacharyya statistical divergence of quantum observables
V. Majernik, S. Shpyrko
In this article we exploit the Bhattacharyya statistical divergence to determine the similarity of probability distributions of quantum observables. After brief review of useful ch…
Level-dynamic approach to the excited spectra of the Jahn-Teller model - kink-train lattice and 'glassy' quantum phase
E. Majernikova, S. Shpyrko
The dynamics of excited phonon spectra of the Exe Jahn-Teller (hereafter, JT) model mapped onto the generalized Calogero-Moser (gCM) gas of pseudoparticles implies a complex interp…
Marginal intermediate statistics in the excited spectra of E\otimes (b_1+b_2) Jahn-Teller systems
E. Majernikova, Serge Shpyrko
The long-range spectral density correlations (spectral rigidities and related spectral compressibilities) of the Jahn-Teller model are found…