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2006 | 4 | 2 | 241-253
Article title

Decoherence in elastic and polaronic transport via discrete quantum states

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In this work we study the effect of decoherence on elastic and polaronic transport via discrete quantum states. Calculations are performed with the help of a nonperturbative computational scheme, based on Green’s function theory within the framework of polaron transformation (GFT-PT), where the many-body electron-phonon interaction problem is mapped exactly into a single-electron multi-channel scattering problem. In particular, the influence of dephasing and relaxation processes on the shape of the electrical current and shot noise curves is discussed in detail under linear and nonlinear transport conditions.
Physical description
1 - 6 - 2006
1 - 6 - 2006
  • [1] C. Joachim, J.K. Gimzewski and A. Aviram: “Electronics using hybrid-molecular and mono-molecular devices”, Nature (London), Vol. 408, (2000), pp. 541–548.[Crossref]
  • [2] J.R. Heath and M.A. Ratner: “Molecular Electronics”, Phys. Today, Vol. 56, (2003), pp. 43–49.
  • [3] R.C. Jaklevic and J. Lambe: “Molecular vibration spectra by electron tunneling”, Phys. Rev. Lett., Vol. 17, (1966), pp. 1139–1140.[Crossref]
  • [4] C.J. Adkins and W.A. Phillips: “Inelastic electron tunneling spectroscopy”, J. Phys. C: Solid State Phys., Vol. 18, (1985), pp. 1313–1346.[Crossref]
  • [5] K.W. Hipps and U.J. Mazur: “Inelastic electron tunneling: an alternative molecular spectroscopy”, J. Phys. Chem., Vol. 97, (1993), pp. 7803–7814.[Crossref]
  • [6] B.C. Stipe, M.A. Rezaei and W. Ho: “Single-Molecule Vibrational Spectroscopy and Microscopy”, Science, Vol. 280, (1998), pp. 1732–1735.[Crossref]
  • [7] H.J. Lee and W. Ho: “Single-Bond Formation and Characterization with a Scanning Tunneling Microscope”, Science, Vol. 286, (1999), pp. 1719–1722.[Crossref]
  • [8] B.C. Stipe, M.A. Rezaei and W. Ho: “Localization of Inelastic Tunneling and the Determination of Atomic-Scale Structure with Chemical Specificity”, Phys. Rev. Lett., Vol. 82, (1999), pp. 1724–1727.[Crossref]
  • [9] L.J. Lauhon and W. Ho: “Single-molecule vibrational spectroscopy and microscopy: CO on Cu(001) and Cu(110)”, Phys. Rev. B, Vol. 60, (1999), pp. R8525–R8528.[Crossref]
  • [10] H. Park, J. Park, A.K.L. Lim, E.H. Anderson A.P. Alivisatos and P.L. McEuen: “Nanomechanical oscillations in a single-C60 transistor”, Nature (London), Vol. 407, (2000), pp. 57–60.[Crossref]
  • [11] J.R. Hahn, H.J. Lee and W. Ho: “Electronic Resonance and Symmetry in Single-Molecule Inelastic Electron Tunneling”, Phys. Rev. Lett., Vol. 85, (2000), pp. 1914–1917.[Crossref]
  • [12] J. Gaudioso, J.L. Laudon and W. Ho: “Vibrationally Mediated Negative Differential Resistance in a Single Molecule”, Phys. Rev. Lett., Vol. 85, (2000), pp. 1918–1921.[Crossref]
  • [13] L. Lorente, M. Persson, L.J. Lauhon and W. Ho: “Symmetry Selection Rules for Vibrationally Inelastic Tunneling”, Phys. Rev. Lett., Vol. 86, (2001), pp. 2593–2596.[Crossref]
  • [14] J.R. Hahn and W. Ho: “Single Molecule Imaging and Vibrational Spectroscopy with a Chemically Modified Tip of a Scanning Tunneling Microscope”, Phys. Rev. Lett., Vol. 87, (2001), art. 196102.
  • [15] R.H.M. Smit, Y. Noat, C. Untiedt, N.D. Lang, M.C. van Hemert and J.M. van Ruitenbeek: “Measurement of the conductance of a hydrogen molecule”, Nature (London), (2002), Vol. 419, pp. 906–909.[Crossref]
  • [16] N.B. Zhitenev, H. Meng and Z. Bao: “Conductance of Small Molecular Junctions”, Phys. Rev. Lett., Vol. 88, (2002), art. 226801.
  • [17] L.H. Yu, Z.K. Keane, J.W. Ciszek, L. Cheng, M.P. Steward, J.M. Tour and D. Natelson: “Inelastic Electron Tunneling via Molecular Vibrations in Single-Molecule Transistors”, Phys. Rev. Lett., Vol. 93, (2004), art. 266802.
  • [18] J.G. Kushmerick, J. Lazorcik, C.H. Patterson and R. Shashidhar: “Vibronic Contributions to Charge Transport Across Molecular Junctions”, Nano Lett., Vol. 4, (2004), pp. 639–642.[Crossref]
  • [19] W. Wang, T. Lee, I. Kretzschmar and M.A. Reed: “Inelastic Electron Tunneling Spectroscopy of an Alkanedithiol Self-Assembled Monolayer”, Nano Lett., Vol. 4, (2004), pp. 643–646.[Crossref]
  • [20] J. Bonča and S.A. Trugman: “Effect of Inelastic Processes on Tunneling”, Phys. Rev. Lett., Vol. 75, (1995), pp. 2566–2569.[Crossref]
  • [21] J. Bonča and S.A. Trugman: “Inelastic Quantum Transport”, Phys. Rev. Lett., Vol. 79, (1997), pp. 4874–4877.[Crossref]
  • [22] K. Haule and J. Bonča: “Inelastic tunneling through mesoscopic structures”, Phys. Rev. B, Vol. 59, (1999), pp. 13087–13093.[Crossref]
  • [23] E.G. Emberly and G. Kirczenow: “Landauer theory, inelastic scattering, and electron transport in molecular wires”, Phys. Rev. B, Vol. 61, (2000), pp. 5740–5750.[Crossref]
  • [24] L.E.F. Foa Torres, H.M. Pastawski and S.S. Makler: “Tuning a resonance in Fock space: Optimization of phonon emission in a resonant-tunneling device”, Phys. Rev. B, Vol. 64, (2001), art. 193304.
  • [25] H. Ness, S.A. Shevlin and A.J. Fisher: “Coherent electron-phonon coupling and polaronlike transport in molecular wires”, Phys. Rev. B, Vol. 63, (2001), art. 125422.
  • [26] H. Ness and A.J. Fisher: “Coherent electron injection and transport in molecular wires: inelastic tunneling and electron-phonon interactions”, Chem. Phys., Vol. 281, (2002), pp. 279–292.[Crossref]
  • [27] M. Čižek, M. Thoss and W. Domcke: “Theory of vibrationally inelastic electron transport through molecular bridges”, Phys. Rev. B, Vol. 70, (2004), art. 125406.
  • [28] B. Dong, H.L. Cui, X.L. Lei and N.J.M. Horing: “Shot noise of inelastic tunneling through quantum dot systems”, Phys. Rev. B, Vol. 71, (2005), art. 045331.
  • [29] K. Walczak: “The influence of vibronic coupling on the shape of transport characteristics in inelastic tunneling through molecules”, (2005), arXiv:cond-mat/0510802, accepted for publication in Physica E.
  • [30] D. Segal, A. Nitzan, W.B. Davis, M.R. Wasielewski and M.A. Ratner: “Electron Transfer Rates in Bridged Molecular Systems 2. A Steady-State Analysis of Coherent Tunneling and Thermal Transitions”, J. Phys. Chem. B, Vol. 104, (2000), pp. 3817–3829.[Crossref]
  • [31] D. Segal and A. Nitzan: “Conduction in molecular junctions: inelastic effects”, Chem. Phys., (2002), Vol. 281, pp. 235–256.[Crossref]
  • [32] J. Lehmann, G.-L. Ingold and P. Hänggi: “Incoherent charge transport through molecular wires: interplay of Coulomb interaction and wire population”, Chem. Phys., Vol. 281, (2002), pp. 199–209.[Crossref]
  • [33] E.G. Petrov, V. May and P. Hänggi: “Spin-boson description of electron transmission through a molecular wire”, Chem. Phys., Vol. 296, (2004), pp. 251–266.[Crossref]
  • [34] D. Porath, Y. Levi, M. Tarabiah and O. Millo: “Tunneling spectroscopy of isolated C60 molecules in the presence of charging effects”, Phys. Rev. B, Vol. 56, (1997), pp. 9829–9833.[Crossref]
  • [35] W. Tian, S. Datta, S. Hong, R.G. Reifenberger, J.I. Henderson and C.P. Kubiak: “Resistance of molecular nanostructures”, Physica E, Vol. 1, (1997), pp. 304–309.[Crossref]
  • [36] W. Tian, S. Datta, S. Hong, R.G. Reifenberger, J.I. Henderson and C.P. Kubiak: “Conductance spectra of molecular wires”, J. Chem. Phys., Vol. 109, (1998), pp. 2874–2882.[Crossref]
  • [37] C. Kergueris, J.-P. Bourgoin, S. Palacin, D. Esteve, C. Urbina, M. Magoga and C. Joachim: “Electron transport through a metal-molecule-metal junction”, Phys. Rev. B, Vol. 59, (1999), pp. 12505–12513.[Crossref]
  • [38] X.-Q. Li and Y. Yan: “Electrical transport through individual DNA molecules”, Appl. Phys. Lett., Vol. 79, (2001), pp. 2190–2192.[Crossref]
  • [39] K.D. McCarthy, N. Prokof’ev and M.T. Tuominen: “Incoherent dynamics of vibrating single-molecule transistors”, Phys. Rev. B, Vol. 67, (2003), art. 245415.
  • [40] J.-X. Zhu and A.V. Balatsky: “Theory of current and shot-noise spectroscopy in single-molecular quantum dots with a phonon mode”, Phys. Rev. B, Vol. 67, (2003), art. 165326.
  • [41] S. Dallakyan and S. Mazumdar: “Sub-Poissonian shot noise in molecular wires”, Appl. Phys. Lett., Vol. 82, (2003), pp. 2488–2490.[Crossref]
  • [42] A. Thielmann, M.A. Hettler, J. König and G. Schön: “Shot noise in tunneling transport through molecules and quantum dots”, Phys. Rev. B, Vol. 68, (2003), art. 115105.
  • [43] K. Walczak: “Current fluctuations of polymeric chains”, Phys. Stat. Sol. (b), Vol. 241, (2004), pp. 2555–2561.[Crossref]
  • [44] R. Guyon, T. Jonckheere, V. Mujica, A. Crepieux and T. Martin: “Current and noise in a model of an alternating current scanning tunneling microscope molecule-metal junction”, J. Chem. Phys., Vol. 122, (2005), art. 144703.
  • [45] M. Büttiker: “Role of quantum coherence in series resistors”, Phys. Rev. B, Vol. 33, (1986), pp. 3020–3026.[Crossref]
  • [46] Ya.M. Blanter and M. Büttiker: “Shot noise in mesoscopic conductors”, Phys. Rep., Vol. 336, (2000), pp. 1–166.[Crossref]
  • [47] M. Büttiker: “Scattering Theory of Thermal and Excess Noise in Open Conductors”, Phys. Rev. Lett., Vol. 65, (1990), pp. 2901–2904.[Crossref]
  • [48] Z. Yang, M. Chshiev, M. Zwolak, Y.-C. Chen and M. Di Ventra: “Role of heating and current-induced forces in the stability of atomic wires”, Phys. Rev. B, Vol. 71, (2005), pp. R041402.[Crossref]
  • [49] M. Galperin, M.A. Ratner and A. Nitzan: “Hysteresis, Switching, and Negative Differential Resistance in Molecular Junctions: A Polaron Model”, Nano Lett., Vol. 5, (2005), pp. 125–130.[Crossref]
  • [50] D. Segal and A. Nitzan: “Heating in current carrying molecular junctions”, J. Chem. Phys., Vol. 117, (2002), pp. 3915–3927.[Crossref]
  • [51] Y.-C. Chen, M. Zwolak and M. Di Ventra: “Local Heating in Nanoscale Conductors”, Nano Lett., Vol. 3, (2003), pp. 1691–1694.[Crossref]
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