Review

Coherence of oscillations generated by single-electronic two-dimensional arrays of tunnel junctions

  • Received: 02 February 2020 Accepted: 18 March 2020 Published: 09 April 2020
  • The single-electron devices (SEDs) are novel devices based on a new operation concept and technologies, with great scaling potential that has been fabricated and is under investigation. The SEDs are based on the controllable transfer of single electrons (SEs) between small conducting electrodes. They have had already several demonstrative scientific experiments as well as enabled fabrication methods. The present work studies the coherence of signals in a two-dimensional homogeneous arrays of small tunnel junctions. The Monte-Carlo technique is used to simulate the circuit and collect the required statistics. The simulator is a hybrid simulator that uses at the beginning the Master Equation representation to compute the steady-state current through the circuit. It is shown, how the coherence of oscillations is strengthened with longer arrays structures, and that the coupled two-dimensional long arrays are having strong correlated tunnel events, when the finite frequency noise characteristics and oscillations pattern variation are addressed. The variation of both the applied voltage and the coupling capacitors is illustrated. The dependency of the transport process and distribution of time between the events on their setting parameters is shown and the coefficient of variation was calculated to clarify the results. Also, the state’s transition flow is reviewed for the traverse of electrons through the arrays structure for different bias conditions.

    Citation: Nazim F. Habbani, Sharief F. Babikir. Coherence of oscillations generated by single-electronic two-dimensional arrays of tunnel junctions[J]. AIMS Electronics and Electrical Engineering, 2020, 4(2): 188-199. doi: 10.3934/ElectrEng.2020.2.188

    Related Papers:

  • The single-electron devices (SEDs) are novel devices based on a new operation concept and technologies, with great scaling potential that has been fabricated and is under investigation. The SEDs are based on the controllable transfer of single electrons (SEs) between small conducting electrodes. They have had already several demonstrative scientific experiments as well as enabled fabrication methods. The present work studies the coherence of signals in a two-dimensional homogeneous arrays of small tunnel junctions. The Monte-Carlo technique is used to simulate the circuit and collect the required statistics. The simulator is a hybrid simulator that uses at the beginning the Master Equation representation to compute the steady-state current through the circuit. It is shown, how the coherence of oscillations is strengthened with longer arrays structures, and that the coupled two-dimensional long arrays are having strong correlated tunnel events, when the finite frequency noise characteristics and oscillations pattern variation are addressed. The variation of both the applied voltage and the coupling capacitors is illustrated. The dependency of the transport process and distribution of time between the events on their setting parameters is shown and the coefficient of variation was calculated to clarify the results. Also, the state’s transition flow is reviewed for the traverse of electrons through the arrays structure for different bias conditions.


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    [1] Averin D and Likharev K (1986) Coulomb blockade of single-electron tunneling, and coherent oscillations in small tunnel junctions. Journal of Low Temperature Physics 62: 345-373. doi: 10.1007/BF00683469
    [2] Matsuoka KA and Likharev KK (1998) Shot noise of single-electron tunneling in one dimensional arrays. Phys Rev B 57: 15613-15622. doi: 10.1103/PhysRevB.57.15613
    [3] Hoekstra J (2009) Introduction to Nanoelectronic Single-Electron Circuit Design. Pan Stanford Publishing Pte. Ltd.
    [4] Santos A, Deen MJ and Marsal LF (2015) Low-cost fabrication technologies for nanostructures: state- of-the-art and potential. Nanotechnology 26: 042001. doi: 10.1088/0957-4484/26/4/042001
    [5] Babiker S (2011) Shot Noise in Single Electron Tunneling Systems: a Semi-classical Model. IEEE T Nanotechnol 10: 1191-1195. doi: 10.1109/TNANO.2011.2127484
    [6] Babiker S, Naeem R and Bedri A (2011) Algorithms for the Static and Dynamic Simulation of Single-Electron Tunnelling Circuits. submitted for publication in (Journal) IET Circuits, Devices and Systems, 2011.
    [7] Lindner B (2006) Superposition of many independent spike trains is generally not a Poisson process. Phys Rev E 73: 022901. doi: 10.1103/PhysRevE.73.022901
    [8] Babiker SF, Bedri A (2011) Analysis of Single Electron Tunnelling Oscillations in Long Arrays of Tunnel Junctions. 6th International Conference: Sciences of Electronic, Technologies of Information and Telecommunications, Tunisia.
    [9] Babikir S, Alhassan ASA, Elhag NAA (2018) Coherence of Oscillations Generated by Single Electronic Circuits. International Conference on Communication, Control, Computing and Electronics Engineering (ICCCCEE), Sudan.
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