13 citations · 76 across the 12 of their papers we have counts for
12 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…
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…
Ground State of Quantum Jahn-Teller Model: Selftrapping vs Correlated Phonon-assisted Tunneling
E. Majernikova, S. Shpyrko
Ground state of the quantum Jahn-Teller model with broken rotational symmetry was investigated by the variational approach in two cases: a lattice and a local ones. Both cases diff…