Tunneling of two interacting particles: Transition between separate and cooperative tunneling

Dakhnovskii, Yuri; Семенов, М. Б.

doi:10.1063/1.457282

Cited by 13 publications

(20 citation statements)

References 8 publications

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“…Coherent oscillations can happen only if the interaction with bosons is weak enough 8 or the bath is in nonequilibrium state. 35,37 The integral ͑11͒ can be performed over phonon coordinates, 28 ␤ϭប/(k B T) is an inverse temperature ͑below we assume that បϭ1 and k B ϭ1), n ϭ2n/␤ is the Matsubara's frequency, and…”

Section: ͑10͒mentioning

confidence: 99%

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Two-dimensional tunnel correlations with dissipation

et al. 2003

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Tunneling of two particles in synchronous and asynchronous regimes is studied in the framework of dissipative quantum tunneling. The critical temperature T_c corresponding to a bifurcation of the underbarrier trajectory is determined. The effect of a heat bath local mode on the probability of two-dimensional tunneling transfer is also investigated. At certain values of the parameters, the degeneracy of antiparallel tunneling trajectories is important. Thus, four, six, twelve, etc., pairs of the trajectories should be taken into account (a cascade of bifurcations). For the parallel particle tunneling the bifurcation resembles phase transition of a first kind, while for the antiparallel transfer it behaves as second order phase transition. The proposed theory allows for the explanation of experimental data on quantum fluctuations in two-proton tunneling in porphyrins near the critical temperature.Comment: RevTeX4, twocolumn, 12 pages, 11 figures (17 eps-files). Revised version, to appear in Phys. Rev.

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Section: ͑10͒mentioning

confidence: 99%

“…Moreover, we discuss the fine structure of bifurcations for systems with various potential energy surfaces. [27][28][29][30]33,34 In Sec. II, we introduce two-dimensional model potential energy surfaces for a pair of interacting particles.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional tunnel correlations with dissipation

et al. 2003

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“…One choice treats the two protons as interacting with one another through a harmonic potential [ 17,19,[40][41][42] : (6) On the other hand, if one considers the Coulombic nature of the interaction between the partial charges on the two protons, a reciprocal function of the sort below might be more appropriate:…”

Section: Proton Transfer Potentialsmentioning

confidence: 99%

Modeling of coupled proton transfers by analytic functions

Duan

Scheiner

1992

Int. J. Quantum Chem.

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Potential energy surfaces are generated by ab initio calculations for the transfer of two protons in the pentameric chains (HzO-.H20. .H20H+. -OH2. .OH2) and (H3N. .H3N. .H3NH+. * NH3 * * NH,). These surfaces are then fit by the sum of ( a ) two functions, each of which reproduces the transfer potential of a single proton plus (b) a function that models the coupling between the two protons. Several candidates are tested for the latter coupling function. A simple linear dependence upon the motion of the two protons reproduces the full two-dimensional surface to an accuracy of some 1 k d / mol. The popular quadratic function provides a poorer approximation as also do exponential and Coulombic-type functions.

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“…In the instanton approximation, 1D Euclidean action S B for one charged particle in the two-well renormalized oscillator potential and the external electric field E is found as [13,14,18] …”

Section: D Dissipative Tunneling Probability Rate With Account Fmentioning

confidence: 99%

“…Physical and chemical approaches to electron transfer processes at nanoscales reveal some common tools. Namely, analytical models of multidimensional dissipative simultaneous quantum tunneling of one or two charged particles, electrons or protons, in low-dimensional systems used in studying some chemical reactions at low temperatures [6][7][8][9][10][11][12][13][14][15][16][17], can be used to study physical properties of quantum dots (QDs) [7], [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Phonon assisted resonant tunneling and its phonons control

et al. 2016

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We observe a series of sharp resonant features in the tunnelling differential conductance of InAs quantum dots. We found that dissipative quantum tunnelling has a strong influence on the operation of nano-devices. Because of such tunnelling the current-voltage characteristics of tunnel contact created between atomic force microscope tip and a surface of InAs/GaAs quantum dots display many interesting peaks. We found that the number, position, and heights of these peaks are associated with the phonon modes involved. To describe the found effect we use a quasi-classical approximation. There the tunnelling current is related to a creation of a dilute instanton-anti-instanton gas. Our experimental data are well described with exactly solvable model where one charged particle is weakly interacting with two promoting phonon modes associated with external medium. We conclude that the characteristics of the tunnel nanoelectronic devices can thus be controlled by a proper choice of phonons existing in materials, which are involved.

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Tunneling of two interacting particles: Transition between separate and cooperative tunneling

Cited by 13 publications

References 8 publications

Two-dimensional tunnel correlations with dissipation

Two-dimensional tunnel correlations with dissipation

Modeling of coupled proton transfers by analytic functions

Phonon assisted resonant tunneling and its phonons control

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