Electron Dynamics in Tight‐Binding Approximation ‐ the Influence of Thermal Anharmonic Lattice Excitations

Chetverikov, A. P.; Ébeling, W.; Velarde, Manuel G.

doi:10.1002/ctpp.200910052

Cited by 4 publications

(14 citation statements)

References 18 publications

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“…Indeed, as noted by Giese [4] and others, the question of how electrons migrate over long distances was raised about thirty years ago and still is a matter of debate. One may assume that, in reality, one has a combination of several mechanisms, between them the very slow mechanism of tunneling may play quite a significant role [4,13,14,[38][39][40]47].…”

Section: Discussionmentioning

confidence: 99%

“…These numerical values are relevant, e.g., for electron transport along hydrogen bonded polypeptide chains such as α-helices [9,[25][26][27][38][39][40][41][42]. Let us note what Muto et al [43] give for DNA other values, which, in our model, correspond to: …”

Section: −1mentioning

confidence: 99%

“…However, we do not have just one or two solitons, but many of them are generated by the heat bath [38][39][40]. To be expected is that this completely changes the picture.…”

Section: Dynamics Of Electrons Interacting With Thermal Solitonsmentioning

confidence: 99%

“…For the case of a linear lattice model, the linear dependence of the mean square displacement with time was obtained by Lakhno and collaborators [45,46]. The results of a stochastic simulation based on the master equation is shown by the thin line in Figure 5 [38][39][40] together with D e f f derived using the Schrödinger equation (fat points). We see that both approaches disagree at low temperatures.…”

Section: Mean Square Displacement Of Electronsmentioning

confidence: 99%

“…Needless to say, in general, the two time scales are not the same (which in frequency terms refer to ultraviolet/electronic versus infrared/acoustic), for most cases with electrons and phonons. Instead of the ansatz Equation (3), other equivalent expressions may be used [12,[38][39][40]. For purposes of illustration, we take the following parameter values:…”

Section: −1mentioning

confidence: 99%

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Long-Range Electron Transport Donor-Acceptor in Nonlinear Lattices

Chetverikov

Ébeling

Velarde

2016

Entropy

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Abstract:We study here several simple models of the electron transfer (ET) in a one-dimensional nonlinear lattice between a donor and an acceptor and propose a new fast mechanism of electron surfing on soliton-like excitations along the lattice. The nonlinear lattice is modeled as a classical one-dimensional Morse chain and the dynamics of the electrons are considered in the tight-binding approximation. This model is applied to the processes along a covalent bridge connecting donors and acceptors. First, it is shown that the electron forms bound states with the solitonic excitations in the lattice. These so-called solectrons may move with supersonic speed. In a heated system, the electron transfer between a donor and an acceptor is modeled as a diffusion-like process. We study in detail the role of thermal factors on the electron transfer. Then, we develop a simple model based on the classical Smoluchowski-Chandrasekhar picture of diffusion-controlled reactions as stochastic processes with emitters and absorbers. Acceptors are modeled by an absorbing boundary. Finally, we compare the new ET mechanisms described here with known ET data. We conclude that electron surfing on solitons could be a special fast way for ET over quite long distances.

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Section: Discussionmentioning

confidence: 99%

Section: −1mentioning

confidence: 99%

“…However, we do not have just one or two solitons, but many of them are generated by the heat bath [38][39][40]. To be expected is that this completely changes the picture.…”

Section: Dynamics Of Electrons Interacting With Thermal Solitonsmentioning

confidence: 99%