6 papers
Exact analytic multi-quanta states of the Davydov Dimer
C. Athorne, L. Cruzeiro, J. C. Eilbeck
The Davydov model describes amide I energy transfer in proteins without dispersion or dissipation. In spite of five decades of study, there are few exact analytical results, especi…
Quartic Lattice Interactions, Soliton-like Excitations and Electron Pairing in One-Dimensional Anharmonic Crystals
M. G. Velarde, L. Brizhik, A. P. Chetverikov +3
We show that two added, excess electrons with opposite spins in one-dimensional crystal lattices with quartic anharmonicity may form a bisolectron, which is a localized bound state…
Low energy pathways for reproducible in vivo protein folding
Leonor Cruzeiro
Two proteins, one belonging to the mainly alpha class and the other belonging to the alpha/beta class, are selected to test a kinetic mechanism for protein folding. Targeted molecu…
On Electron Pairing in One-Dimensional Anharmonic Crystal Lattices
M. G. Velarde, L. Brizhik, A. P. Chetverikov +3
We show that when anharmonicity is added to the electron-phonon interaction it facilitates electron pairing in a localized state. Such localized state appears as singlet state of t…
Exploring proteins multi-funnel energy landscape
Leonor Cruzeiro
An all-atom model of proteins is used to show that the same sequence of amino acids can have many alternative structures, that are very distant from, and that can be as stable as,…
Dynamical two electron states in a Hubbard-Davydov model
L. Cruzeiro-Hansson, J. C. Eilbeck, J. L. Marin +1
We study a model in which a Hubbard Hamiltonian is coupled to the dispersive phonons in a classical nonlinear lattice. Our calculations are restricted to the case where we have onl…