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Atomic Wires and Molecular Devices
The ultimate in miniaturization of computer circuitry would be to make circuit elements out of small assemblages of atoms or molecules ("molecular electronics"). A first step on this road is to study the properties of atomic wires, short chains of atoms that conduct electricity between two contacts. We have performed first-principles calculations on both metallic and covalently bonded atomic wires connecting two metal electrodes.(1,2) Figure 1 shows the conductance of a linear carbon-atom chain (a "cumulene") versus number of atoms in the chain. The conductance is seen to oscillate between about one and two quantum units of conductance (one unit corresponds to a resistance of 12,900 ohms). The low-bias conductance can be related to the density of states at the Fermi level of the electrodes.     figure1
Figure 1


At zero bias, there is a large transfer of electronic charge from the electrodes to the carbon wires, effectively providing doping without introducing scattering centers. Figure 2 gives a plot of the electrostatic potential (minus the superposition of the potentials of the free chain and the pair of bare electrodes) of a metal--7-carbon-atom-chain--metal system as a function of position (in atomic units) along and transverse to the wire. The two barriers at the wire ends reflect the fact that most of the charge transferred to the wire accumulates at the ends. Figure 3 shows the difference of electron densities of the system consisting of two electrodes connected by a 7-carbon-atom chain with an applied bias of 3 volts, and that of the same system with no applied bias. The green color indicates an unchanged, red an increased, and blue a decreased electron density. The primary involvement of the wire's pi states is clear. The figure shows complex changes in the metal-to-wire charge transfer, polarization by the electric field, and screening by the electrodes. The electrostatic potential associated with this charge distribution shows the way in which the voltage drop between the electrodes is distributed spatially along the wire. It is found in particular that in the vicinity of the wire, the potential variation extends deep into the electrodes, and that about half of the potential drop occurs over the wire itself. (Some studies in the literature conclude that the drop occurs only at the wire ends.)
    figure2
Figure 2   Detail

figure3
Figure 3


In collaboration with scientists from Vanderbilt University, these same calculational tools have been used to study the conductance of a simple carbon-ring-based molecule, 1,4-Benzenedithiolate.(3) A contour plot of the electron density distribution for the molecule bonded to a pair of metal electrodes is shown in Fig. 4. (The dots represent atom positions.) The I-V characteristic for this system was calculated and its shape found to be similar to that found experimentally; the absolute value of the current is strongly dependent on the presence of single atoms at the molecule-electrode interface.(4) This calculation has also been done in the presence of a third capacitive terminal (gate); it is found that an appropriate gate field can switch the molecule into a much more conductive state.(5)     figure4
Figure 4   Detail

(1) N. D. Lang, Phys. Rev. B 52, 5335 (1995); Phys. Rev. Lett. 79, 1357 (1997).
(2) N. D. Lang and Ph. Avouris, Phys. Rev. Lett. 84, 358 (2000).
(3) M. Di Ventra, S. T. Pantelides, and N. D. Lang, Phys. Rev. Lett. 84, 979 (2000).
(4) M. A. Reed, C. Zhou, C. J. Muller, T. P. Burgin, and J. M. Tour, Science 278, 252 (1997).
(5) M. Di Ventra, S. T. Pantelides, and N. D. Lang, Applied Phys. Lett. 76, 3448 (2000).

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