document: Four-terminal quantum resistor network for electron-wave computing 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 can not 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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extractive_keyphrases: interconnected ultrathin conducting wires rerouting multiple elastic scatterers logic functions transmission probability buttiker symmetry rule transmission behavior kirchhoff current conservation law equitransmission property
abstractive_keyphrases: four-terminal quantum resistor network electron-wave computing quasi1d electron waveguides landauer-buttiker theory aharonov-bohm rings