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2
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0000512336
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Cf. also, and
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Cf. also J. Taylor, H. Guo, and J. Wang, Phys. Rev. B63, 121104 (2001).
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(2001)
Phys. Rev. B
, vol.63
, pp. 121104
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Taylor, J.1
Guo, H.2
Wang, J.3
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3
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0033584805
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Cf., and
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Cf. J. Chen, M A. Reed, A M. Rawlett, and J M. Tour, Science286, 1550 (1999).
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(1999)
Science
, vol.286
, pp. 1550
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Chen, J.1
Reed, M.A.2
Rawlett, A.M.3
Tour, J.M.4
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10
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0000086083
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See, e.g., and
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See, e.g., K. Nagesha and L. Sanche, Phys. Rev. Lett.81, 5892 (1998);
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(1998)
Phys. Rev. Lett.
, vol.81
, pp. 5892
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Nagesha, K.1
Sanche, L.2
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12
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0003126374
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S. Lundqvist, N.H. March, Plenum Press, New York, See, e.g., in, edited by, and, p
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See, e.g., N D. Lang, in Theory of the Inhomogeneous Electron Gas, edited by S. Lundqvist and N.H. March (Plenum Press, New York, 1983), p. 309.
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(1983)
Theory of the Inhomogeneous Electron Gas
, pp. 309
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Lang, N.D.1
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13
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85038339958
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In the calculations, we take the electrodes to have (formula presented), typical of a high-electron-density metal such as Al. Here (formula presented), with n the mean interior electron number density in the electrodes
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In the calculations, we take the electrodes to have (formula presented), typical of a high-electron-density metal such as Al. Here (formula presented), with n the mean interior electron number density in the electrodes.
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14
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85038307766
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(formula presented)
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(formula presented).
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15
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85038280605
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The disks were taken to have a radius of 7 a.u. and a spacing of 16 a.u. (The exact values are not important.)
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The disks were taken to have a radius of 7 a.u. and a spacing of 16 a.u. (The exact values are not important.)
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17
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85038285883
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This means that the Fermi levels of the right and left electrodes differ by 0.01 eV; since this is so small, we will not make a distinction between the two Fermi levels when, for example, we speak of the state density at the Fermi level
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This means that the Fermi levels of the right and left electrodes differ by 0.01 eV; since this is so small, we will not make a distinction between the two Fermi levels when, for example, we speak of the state density at the Fermi level.
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18
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85038297164
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By density of states we mean the difference in density of energy eigenstates between two systems: the pair of electrodes together with the molecule linking them, and the same pair of electrodes (with the same spacing) without the molecule. The eigenstates referred to are those of the single-particle equations of the density-functional formalism
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By density of states we mean the difference in density of energy eigenstates between two systems: the pair of electrodes together with the molecule linking them, and the same pair of electrodes (with the same spacing) without the molecule. The eigenstates referred to are those of the single-particle equations of the density-functional formalism.
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19
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85038285329
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This implies that the molecule acquires somewhat of a negative charge, as was seen also in Refs., and
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This implies that the molecule acquires somewhat of a negative charge, as was seen also in Refs. 2 and 5.
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20
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85038329656
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The conductance we refer to is the additional conductance due to the presence of the molecule, i.e., the difference in conductance of the system with and without the molecule. (Whether or not the biased gate electrodes are included in the calculation for the system without the molecule was verified to be unimportant.)
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The conductance we refer to is the additional conductance due to the presence of the molecule, i.e., the difference in conductance of the system with and without the molecule. (Whether or not the biased gate electrodes are included in the calculation for the system without the molecule was verified to be unimportant.)
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21
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85038265913
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The bond length of the molecule will change somewhat in response to the gate field, an effect which we do not include in the calculation shown in Fig. 55. (We hold the bond length fixed at the value for the free molecule.) In order to test how important this approximation is, a calculation of the bond length in the presence of a uniform field of (formula presented) with the polarity used here was done for the free molecule, using, (SVWN5, LanL2DZ basis set: Revision A.6, M.J. Frisch, Gaussian, Inc., Pittsburgh PA, 1998), which gave a decrease in bond length of (formula presented). Redoing our self-consistent molecule-electrode calculations with this decrease in bond length gives a conductance within (formula presented) of the value shown in Fig. 55
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The bond length of the molecule will change somewhat in response to the gate field, an effect which we do not include in the calculation shown in Fig. 55. (We hold the bond length fixed at the value for the free molecule.) In order to test how important this approximation is, a calculation of the bond length in the presence of a uniform field of (formula presented) with the polarity used here was done for the free molecule, using GAUSSIAN 98 (SVWN5, LanL2DZ basis set: Revision A.6, M.J. Frisch, et al., Gaussian, Inc., Pittsburgh PA, 1998), which gave a decrease in bond length of (formula presented). Redoing our self-consistent molecule-electrode calculations with this decrease in bond length gives a conductance within (formula presented) of the value shown in Fig. 55.
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22
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85038307211
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Reciprocal of the conductance is defined in Ref. 16
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Reciprocal of the conductance is defined in Ref. 16.
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