skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: The theory of coherent resonance tunneling of interacting electrons

Abstract

Analytical solutions of the Schrödinger equation for a two-barrier structure (resonance-tunnel diode) with open boundary conditions are found within the model of coherent tunneling of interacting electrons. Simple expressions for resonance current are derived which enable one to analyze the current-voltage characteristics, the conditions of emergence of hysteresis, and singularities of the latter depending on the parameters of resonance-tunnel diode. It is demonstrated that the hysteresis is realized if the current exceeds some critical value proportional to the square of resonance level width.

Authors:
 [1]
  1. Moscow State Institute of Engineering Physics (Russian Federation)
Publication Date:
OSTI Identifier:
22617257
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 92; Journal Issue: 4; Other Information: Copyright (c) 2001 MAIK Nauka/Interperiodica; Article Copyright (c) 2001 MAIK Nauka/Interperiodica@; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; ANALYTICAL SOLUTION; BOUNDARY CONDITIONS; COHERENT RADIATION; DIFFUSION BARRIERS; ELECTRIC POTENTIAL; ELECTRON-ELECTRON INTERACTIONS; ELECTRONS; HYSTERESIS; LEVEL WIDTHS; RESONANCE; SCHROEDINGER EQUATION; SINGULARITY; TUNNEL DIODES; TUNNEL EFFECT

Citation Formats

Elesin, V. F. The theory of coherent resonance tunneling of interacting electrons. United States: N. p., 2001. Web. doi:10.1134/1.1371352.
Elesin, V. F. The theory of coherent resonance tunneling of interacting electrons. United States. doi:10.1134/1.1371352.
Elesin, V. F. 2001. "The theory of coherent resonance tunneling of interacting electrons". United States. doi:10.1134/1.1371352.
@article{osti_22617257,
title = {The theory of coherent resonance tunneling of interacting electrons},
author = {Elesin, V. F.},
abstractNote = {Analytical solutions of the Schrödinger equation for a two-barrier structure (resonance-tunnel diode) with open boundary conditions are found within the model of coherent tunneling of interacting electrons. Simple expressions for resonance current are derived which enable one to analyze the current-voltage characteristics, the conditions of emergence of hysteresis, and singularities of the latter depending on the parameters of resonance-tunnel diode. It is demonstrated that the hysteresis is realized if the current exceeds some critical value proportional to the square of resonance level width.},
doi = {10.1134/1.1371352},
journal = {Journal of Experimental and Theoretical Physics},
number = 4,
volume = 92,
place = {United States},
year = 2001,
month = 4
}
  • The problem of the effect of electron-electron interaction on the static and dynamic properties of a double-barrier nanostructure (resonant tunneling diode (RTD)) is studied in terms of a coherent tunneling model, which includes a set of Schrödinger and Poisson equations with open boundary conditions. Explicit analytical expressions are derived for dc and ac potentials and reduced (active and reactive) currents in the quasi-classical approximation over a wide frequency range. These expressions are used to analyze the frequency characteristics of RTD. It is shown that the interaction can radically change the form of these expressions, especially in the case of amore » hysteretic I-V characteristic. In this case, the active current and the ac potentials can increase sharply at both low and high frequencies. For this increase to occur, it is necessary to meet quantum regime conditions and to choose a proper working point in the I-V characteristic of RTD. The possibility of appearance of specific plasma oscillations, which can improve the high-frequency characteristics of RTD, is predicted. It is found that the active current can be comparable with the resonant dc current of RTD.« less
  • We expand the Hamiltonian of a weakly interacting Bose system to second order in the Bose operators of the elementary excitations and use the mean-field approximation to linearize it. It is found that the dynamical algebra of the pairing'' approximated Hamiltonian is SU(1,1) algebra. By using the generalized SU(1,1) coherent-state theory we show that both the condensate states and the weakly excited states are generalized SU(1,1) coherent states. Based on these states, the quantum fluctuations and the second-order correlation functions of the Bose system are calculated and discussed.
  • We calculate exactly the Josephson current for c-axis coherent tunneling between two layered superconductors, each with internal coherent tight-binding intra- and interlayer quasiparticle dispersions. Our results also apply when one or both of the superconductors is a bulk material, and include the usually neglected effects of surface states. For weak tunneling, our results reduce to our previous results derived using the tunneling Hamiltonian. Our results are also correct for strong tunneling. However, the c-axis tunneling expressions of Tanaka and Kashiwaya are shown to be incorrect in any limit. In addition, we consider the c-axis coherent critical current between two identicalmore » layered superconductors twisted an angle {phi}{sub 0} about the c axis with respect to each other. Regardless of the order-parameter symmetry, our coherent tunneling results using a tight-binding intralayer quasiparticle dispersion are inconsistent with the recent c-axis twist bicrystal Bi{sub 2}Sr{sub 2}CaCu{sub 2}O{sub 8+{delta}} twist junction experiments of Li et al. [Li et al., Phys. Rev. Lett. 83, 4160 (1999)]. (c) 2000 The American Physical Society.« less
  • We study charge transport through molecular junctions in the presence of electron-electron interaction using the nonequilibrium Green's function techniques and the renormalized perturbation theory. In the perturbation treatment, the zeroth-order Hamiltonian of the molecular junction is composed of independent single-impurity Anderson's models, which act as the channels where charges come through or occupy, and the interactions between different channels are treated as the perturbation. Using this scheme, the effects of molecule-lead, electron-electron, and hopping interactions are included nonperturbatively, and the charge transport processes can thus be studied in the intermediate parameter range from the Coulomb blockade to the coherent tunnelingmore » regimes. The concept of quasi-particles is introduced to describe the kinetic process of charge transport, and then the electric current can be studied and calculated. As a test study, the Hubbard model is used as the molecular Hamiltonian to simulate dimeric and trimeric molecular junctions. Various nonlinear current-voltage characteristics, including Coulomb blockade, negative differential resistance, rectification, and current hysteresis, are shown in the calculations, and the mechanisms are elucidated.« less