Quantitative interpretation of the transition voltages in gold-poly(phenylene) thiol-gold molecular junctions Kunlin Wu1, Meilin Bai1, Stefano Sanvito2, Shimin Hou1, * 1 Key Laboratory for the Physics and Chemistry of Nanodevices, Department of Electronics, Peking University, Beijing 100871, China 2 School of Physics and CRANN, Trinity College, Dublin 2, Ireland 1. Eigenchannel analysis of the gold-biphenyl thiol-gold junction in which the phenyl ring is connected to the Au(111) surface directly Figure S1 Charge density isosurfaces of the dominating eigenchannels of the gold–biphenyl thiol–gold junction calculated at −1.66 eV (a), at -0.96 eV (b) and at 2.51 eV (c). Here, the phenyl ring is connected to the Au(111) surface directly. The HOMO-1, HOMO and LUMO of the biphenyl thiol molecule in the gas phase are also given for comparison. 1 2. Transmission spectra of the gold-biphenyl thiol-gold junction in which the phenyl ring is connected to the Au(111) surface directly Figure S2 The equilibrium transmission spectra of the gold-biphenyl thiol-gold junctions at different goldphenyl distances: (a) 2.41 Å, (b) 3.08 Å, (c) 4.01 Å and (d) 4.98 Å. Here, the phenyl ring is connected to the Au(111) surface directly. 2 3. The geometrical structure and the transport properties of the gold-biphenyl thiol-gold junction in which the phenyl ring is bonded to the Au(111) surface through a gold cluster with four atoms arranged in a pyramid configuration Figure S3 The optimized atomic structure (a), the equilibrium transmission spectrum (b) and the F-N plot (c) of the gold-biphenyl thiol-gold junction, in which the phenyl ring is bonded to the Au(111) surface through a gold cluster with four atoms arranged in a pyramid configuration. The inset of (c) is the I-V curve on a linear scale. 3 4. The geometrical structure and the transport properties of the gold-biphenyl thiol-gold junction with the sulfur atom binding at the adatom site of the Au(111) surface Figure S4 The optimized atomic structure (a), the equilibrium transmission spectrum (b), the I-V curve on a linear scale (c) and the F-N plot (d) of the gold-biphenyl thiol-gold junction, in which the sulfur atom binds at the adatom site of the Au(111) surface. 4 5. The geometrical structure and the transport properties of the gold-terphenyl thiol-gold junctions Figure S5: Optimized atomic structure (a), zero-bias transmission spectrum (b) and the F-N plot (c) of the gold-terphenyl thiol-gold junction in which the phenyl ring is bonded to the Au(111) surface through a gold adatom. For the gold-terphenyl thiol-gold junction with the phenyl ring bonded to the Au(111) surface through a four-atom gold cluster in a pyramid configuration, the same quantities are plotted in panels (d) to (f). In the inserts of panels (c) and (f), the I-V curves are shown on standard axes. Table S1 The transition voltages and the transmission coefficients at the Fermi level of the Au/terphenyl thiol/Au junctions with different Au-H distances, in which the phenyl ring is connected to the Au(111) surface directly. Distance (Å) Vtrans (V) T(EF) 2.11 0.6 8.5×10-4 2.95 0.6 1.1×10-4 3.97 0.6 8.1×10-6 5 6. The geometrical structure and the transport properties of the gold-benzene thiol-gold junctions Figure S6: Optimized atomic structure (a), zero-bias transmission spectrum (b) and the F-N plot (c) of the gold-benzene thiol-gold junction in which the phenyl ring is bonded to the Au(111) surface through a gold adatom. For the gold-benzene thiol-gold junction with the phenyl ring bonded to the Au(111) surface through a four-atom gold cluster in a pyramid configuration, the same quantities are plotted in panels (d) to (f). In the inserts of panels (c) and (f), the I-V curves are shown on standard axes. Table S2 The transition voltages and the transmission coefficients at the Fermi level of the Au/benzene thiol/Au junctions with different Au-H distances, in which the phenyl ring is connected to the Au(111) surface directly. Distance (Å) Vtrans (V) T(EF) 3.13 0.9 1.3×10-3 4.14 0.8 9.7×10-5 5.15 0.9 4.1×10-6 6 7. The transport properties of the gold-benzene thiol-gold junction calculated using the LDA functional, in which the phenyl ring is bonded to the Au(111) surface directly Figure S7 Optimized atomic structure (a), zero-bias transmission spectrum (b) and the F-N plot (c) of the gold-benzene thiol-gold junction calculated using the PZ LDA functional, in which the phenyl ring is bonded to the Au(111) surface directly. The transition voltage is determined to be 0.83 V. 7