Low-temperature adiabatic chemical reactions in the condensed phase

Dakhnovskii, Yu.I.; Овчинников, А. А.; Семенов, М. Б.

doi:10.1080/00268978800100341

Cited by 24 publications

(15 citation statements)

References 21 publications

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“…6 Another example of two-particle tunneling is a twoproton transfer in porphyrin systems. [27][28][29] Porphyrins are important molecules in biology 31 and a new area of electronics: molecular wires and devices. 32 There are experimental data 24 -26,33 that clearly indicate that a tunneling instability occurs at some critical temperature.…”

Section: Introductionmentioning

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: Introductionmentioning

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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“…1. The procedures of the renormalization of the potential v 1 (y 1 ) and the coordinate y 1 are considered in [17].…”

Section: D Dissipative Tunneling Probability Rate With Account Fmentioning

confidence: 99%

“…(1) p α are momenta of phonon modes of the particle of mass m = 1, y α are coordinates of local phonon modes, ω α are frequencies of local phonon modes, N is the number of local modes of wide-band matrix, and C α are coefficients of the interaction of the tunneling particle with local phonon modes of wide-band matrix (see [13,16,17] for more details). The quasiclassical action S{y 1 } of the system is defined by [16] S {y 1 } =…”

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%

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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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Influence of dissipation on one- and two-dimensional quantum tunneling

Семенов¹

1998

Russ Phys J

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Low-temperature adiabatic chemical reactions in the condensed phase

Cited by 24 publications

References 21 publications

Two-dimensional tunnel correlations with dissipation

Two-dimensional tunnel correlations with dissipation

Phonon assisted resonant tunneling and its phonons control

Influence of dissipation on one- and two-dimensional quantum tunneling

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