Bloch-like oscillations in the Peyrard-Bishop-Holstein model

Abstract

The Peyrard-Bishop-Holstein model has been previously introduced as an appropriate framework for the description of polaronic effects for charge migration in DNA. We study numerically the Peyrard-BishopHolstein model when the charge carrier is also subjected to an applied uniform electric field. We find that the polaron undergoes coherent oscillations when the electric field is applied along the stacking direction. The frequency of the oscillations is the same as in the rigid lattice ͑Bloch frequency͒ provided that the carrier-lattice coupling is not large. Increasing the coupling the single peak of the Fourier spectrum splits into side peaks around the Bloch frequency.

THz oscillating currents enhanced by long-range correlations in DNA

“…Similarly to what happens in the case of the homogeneous molecule (see Ref. [31]), it oscillates with a main frequency of 7.22 THz close to the Morse frequency of the system x M ¼ a ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2V 0 =m p ¼ 7:138 THz according to its Fourier spectrum. Nevertheless, in the disordered situation there is no other peak related to the Bloch frequency which indeed appeared in the homogeneous molecule [31].…”

“…[31]), it oscillates with a main frequency of 7.22 THz close to the Morse frequency of the system x M ¼ a ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi 2V 0 =m p ¼ 7:138 THz according to its Fourier spectrum. Nevertheless, in the disordered situation there is no other peak related to the Bloch frequency which indeed appeared in the homogeneous molecule [31]. Therefore, we claim that the dynamics of the disordered molecule is mainly defined by the Morse potential and it is even more decoupled from the carrier one than in homogeneous DNA molecules.…”

“…This means that they perform a periodic motion, in real and in k space, known as Bloch oscillations (BOs), whose amplitude and frequency can be established from semiclassical arguments [29,30]. Moreover, such a periodic motion leads to alternating currents in the THz range [31].…”

Modeling of stationary and nonstationary regimes of charge transfer in a homogeneous Holstein chain in a constant electric field

“…Ранее в работе [26] нами были рассмотрены примеры блоховских ос-цилляций в модели Холстейна в зависимости от различных значений па-раметра κ. Аналогичные результаты были получены позже в работе [27] при исследовании блоховских осцилляций в модели Пейрарда-Бишопа-Холстейна. Кроме описанных здесь вариантов движения и распределения заряда по цепочке, в работе [28] была показана возможность неравновес-ного движения заряда в P olyG / P olyC цепочке ДНК.…”

Solitons in a nonlinear model of spin transport in helical molecules

“…Today, they play a fundamental role to describe DNA denaturalization by way of the so called Peyrard-Bishop model [2]. These models were also important for a complete analysis of the charge and energy transport properties of DNA molecules [3][4][5]. In all these scenarios, it is assumed that organic molecules are quite deformable and consequently the interaction between quasiparticles (electrons or excitons) and the lattice vibrations is not negligible.…”