Summary
Granular nanoelectronics or single-electronics is concerned with the development of device technologies which approach the information theoretic limit of one bit on one electron. Only recently, with the demonstration of a single-electron shift register device based on correlated single electron tunneling in coupled metal-insulator-metal capacitors, has a serious candidate emerged which has the appropriate device and system properties. These system properties are shown here to include: pronounced fault tolerance to variations in capacitor parameters but sensitivity to cross-talk. The regimes of logic stability are described. Simple global clocking schemes are shown to lead to incoherence and synchronization failure unless precautions are taken. The analysis is based on the Fokker-Planck projection of the density matrix in the charge diagonal representation and by Monte Carlo and linear programming solutions to the coupled circuit equations. Transfer of these circuit concepts to semiconductor configurations based on strongly confined squeezed two-dimensional electron gas (2DEG) channels is discussed. Finally, the Bohm-de Broglie pilot field model of quantum mechanics is examined as a useful interpretive and computational aid to understanding the granular electronic regime. Apparent contradictions with conventional quantum transport formalisms are resolved and the connection with conventional Wigner distributions is established.
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Ferry DK, Barker JR, Jacoboni C (eds) (1991) Plenum, New York
Geerligs LJ, Anderegg VF, Holweg PA, Mooij JE, Pothier H, Esteve D, Urbina C, Devoret MH (1990) Phys Rev Lett 64: 2691
Likhaerev K (1988) IBM J R and D 32: 144
Averin D. Likhaerev K (1990) In Altshuler BL, Lee P, Webb P (eds) Quantum effects in small disordered systems. Elsevier, Amsterdam
Geerligs LJ, Mooij JE (1990) In: Ferry DK, Barker JR, Jacoboni C (eds) Granular Nanoelectronics Plenum, New York, pp 393–412
Mooij JE, van Wees BJ, Geerligs LJ, Peters M, Fazio R, Schon G (1990) Phys Rev Lett 65: 645
Kosterlitz JM, Thouless DJ (1973) J Phys C6: 1181
Barker JR (1990) In: Shaw DW, Bean JC, Keramidis VG, Peercy PS (eds) Materials Research Society Proceedings, vol 198, epitaxial heterostructures, pp 3–16
Kuzmin L, Delsing P, Claeson T, Likhaerev K (1989) Phys Rev Lett 60: 309
Williamson JG, Staring AAM, Kouwenhoven LP, van Houten H, Beenakker CWJ, Timmering CE, Mabesoone, M Foxon CT (1991) In: Kirk WP, Reed MA (eds) Proc int symp nanostructures and mesoscopic systems, Santa Fe. Academic Santa Fe
Williamson JG, van Houten H, Beenakker CWJ, Broekaart MEI, van Wees BJ, Foxon CT (1990) Phys Rev B41:1207 Melrav U, Kastner M, Wind S (1990) Phys Rev Lett 65: 771
Flemsberg K, Jonson M (1991) Phys Rev B43: 7586
McEuen PL, Foxman EB (1991) Phys Rev Lett 66: 1926
Staring AAM, Williamson JG, van Houten H, Beenakker CWJ, Kouwenhoven LP, Foxon CT (1991) In: van Haeringen W, Lenstra D (eds) Proc int symp analogies in optics and microelectronics, North Holland. (1992) Amsterdam
Likhaerev K, Bakhvalkov NS, Kazacha GS, Serdyukova SI, (1989) IEEE Trans Magn 25: 1436
Yu Lu (1988) Solitons and polarons in conducting polymers. World Scientific, Singapore
Roth S, Bleier H (1989) In: A Aviram (ed) Molecular electronics science and technology. Engineering Foundation, New York
Kuzmin LS, Delsing P, Claeson T, Likhaerev K (1989) Phys Rev Lett 62: 2539
Nixon JA, Davies JH, Baranger HU (1991) Phys Rev B43: 12638
Laughton MJ, Barker JR, Nixon JA, Davies JH (1991) Phys Rev B44: 1150–1153
Averin A, Likhaerev K (1986) J Low Temp Phys 62: 345
Barker JR (1986) In: Kely MJ and Weisbuch C (eds) Physics of microstructures. Springer Proc in Physics 13:210–230
Bakhvalov NS, Kazacha GS Likhaerev K, Serdyukova SI (1989) Soy Phys JETP 68: 581
Ballentine L (1970) Rev Mod Phys 42: 358–381
Bohm D (1952) Phys Rev 85: 166–179
Bohm D (1952) Part II 85: 180–193
Jammer M (1974) The philosophy of quantum mechanics. Wiley, New York
Schommers W (ed) (1989) Quantum theory and pictures of reality. Springer, London, pp 279–331
Philippidis C, Bohm D, Kaye, RD (1982) Nuovo Cimento B71: 75
Philippidis C, Dewdney C, Hiley, BJ (1979) Nuovo Cimento B52: 15
Vigier JP, Dewdney C, Holland PR, Kyprianidis A (1987) In: Hiley BJ, Peat FD (eds) Quantum implications. Routledge and Kegan Paul, London
Sated F (1989) In: Schommers W (ed) Quantum theory and picture of reality. Springer, London, pp 279–331
Barker JR (1991) In: Ferry DK, Barker JR, Jacoboni C (eds) Granular nanoelectronics. Plenum, New York, pp 327–342
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Barker, J.R., Roy, S., Babiker, S. (1992). Trajectory Representations, Fluctuations, and Stability of Granular Electronic Devices. In: Namba, S., Hamaguchi, C., Ando, T. (eds) Science and Technology of Mesoscopic Structures. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66922-7_22
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DOI: https://doi.org/10.1007/978-4-431-66922-7_22
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