Logic functions from three-terminal quantum resistor networks for electron wave computing

Wu, Cheng-Hsiao; Ramamurthy, Diwakar

doi:10.1103/physrevb.65.075313

Cited by 27 publications

(28 citation statements)

References 12 publications

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“…9 A more general three-terminal AB ring has been investigated recently. 10 We show that there are four basic classes of three-terminal rings. In each class, there is a scaling relation.…”

Section: Introductionmentioning

confidence: 86%

“…Here we will write down the four appropriate node equations for wave functions (A1), (B1), (S1), and (C1) at the four terminal nodes A1, B1, S1, and C1 using the approach described earlier. 7,10 We will consider that such a ring receives only one input first, which is designated to be from terminal A. At each of those four terminal nodes, a Kirchhoff law for conservation of current must be satisfied.…”

Section: Node Equations For a General Four-terminal Qrnmentioning

confidence: 99%

“…The problem of unwanted reflections as well as the refreshing requirement due to a weakened electron-wave amplitude in a long multistage network can be solved by inserting threeterminal AB rings as quantum circulators and by the use of a supply line concept that we have discussed in our earlier paper. 10 The great advantage of QRN's for wave computing is its possibility of a massive parallel processing capability, which greatly reduces the software or instruction requirements. When many channels are used together, it is very fault tolerant.…”

Section: Introductionmentioning

confidence: 99%

“…For each node point, there associates a linear equation, which can be easily written using the rules summarized in Ref. 10. This reduces the analysis of a QRN to the same level as one normally does from the Kirchhoff current law in elementary circuit theory.…”

Section: Introductionmentioning

confidence: 99%

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Four-terminal quantum resistor network for electron-wave computing

Ramamurthy

2002

Phys. Rev. B

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Interconnected ultrathin conducting wires or, equivalently, interconnected quasi-one-dimensional electron waveguides, which form a quantum resistor network, are presented here in four-terminal configurations. The transmission behaviors through such four-terminal networks are evaluated and classified. In addition, we show that such networks can be used as the basic building blocks for a possible massive wave computing machine in the future. In a network, each interconnection, a node point, is an elastic scatterer that routes the electron wave. Routing and rerouting of electron waves in a network is described in the framework of quantum transport from Landauer-Buttiker theory in the presence of multiple elastic scatterers. Transmissions through various types of four-terminal generalized clean Aharonov-Bohm rings are investigated at zero temperature. Useful logic functions are gathered based on the transmission probability to each terminal with the use of the Buttiker symmetry rule. In the generalized rings, even and odd numbers of terminals can possess some distinctly different transmission characteristics as we have shown here and earlier. Just as an even or odd number of atoms in a ring is an important quantity for classifying the transmission behavior, we show here that whether the number of terminals is an even or an odd number is just as important in understanding the physics of transmission through such a ring. Furthermore, we show that there are three basic classes of four-terminal rings and the scaling relation for each class is provided. In particular, the existence of equitransmission among all four terminals is shown here. This particular physical phenomena cannot exist in any three-terminal ring. Comparisons and discussions of transmission characteristics between three-terminal and four-terminal rings are also presented. The node-equation approach by considering the Kirchhoff current conservation law at each node point is used for this analysis. Many useful logic functions for electron-wave computing are shown here. In particular, we show that a full adder can be constructed very simply using the equitransmission property of the four-terminal ring. This is in sharp contrast with circuits based on transistor logic.

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“…9 A more general three-terminal AB ring has been investigated recently. 10 We show that there are four basic classes of three-terminal rings. In each class, there is a scaling relation.…”

Section: Introductionmentioning

confidence: 86%

Section: Node Equations For a General Four-terminal Qrnmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Four-terminal quantum resistor network for electron-wave computing

Ramamurthy

2002

Phys. Rev. B

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“…In Figure 4, we present the transmittance probability 48,49 I f O 1 for strong (upper panel) and weak (lower panel) coupling between the ring and the leads. As in the twoterminal case, when the coupling is strong, the transmittance is broad over a wide range of magnetic fields, and the maxima can be shifted along the magnetic field axis by a change in the conducting electron wavenumber.…”

Section: Why Use Magnetic Fields?mentioning

confidence: 99%

Magnetoresistance of Nanoscale Molecular Devices

2006

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Affecting the current through a molecular or nanoscale junction is usually done by a combination of bias and gate voltages. Magnetic fields are less studied because nanodevices can capture only low values of the magnetic flux. We review recent work done with the aim of finding the conditions for magnetic fields to significantly affect the conductance of such junctions. The basic idea is to create narrow tunneling resonances through a molecular ring-like structure that are highly sensitive to the magnetic field. We describe a computational method that allows us to examine atomistic models of such systems and discuss several specific examples of plausible systems, such as the quantum corral, carbon nanotubes, and polycyclic aromatic hydrocarbon molecules. A unique property of the magnetic field, namely, its ability to split degenerate levels on the ring, is shown to allow prototypes of interesting new nanoscale devices, such as the three-terminal parallel logic gate.

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Molecular level all-optical logic with chlorophyll absorption spectrum and polarization sensitivity

Raychaudhuri

Bhattacharyya²

2008

Appl. Phys. B

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Logic functions from three-terminal quantum resistor networks for electron wave computing

Cited by 27 publications

References 12 publications

Four-terminal quantum resistor network for electron-wave computing

Four-terminal quantum resistor network for electron-wave computing

Magnetoresistance of Nanoscale Molecular Devices

Molecular level all-optical logic with chlorophyll absorption spectrum and polarization sensitivity

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