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Recursive approach to study transport properties of atomic wire

  • Mesoscopic and Nanoscale Systems
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Abstract

In this study, we propose a recursive approach to study the transport properties of atomic wires. It is based upon a real-space block-recursion technique with Landauer's formula being used to express the conductance as a scattering problem. To illustrate the method, we have applied it on a model system described by a single band tight-binding Hamiltonian. Results of our calculation therefore may be compared with the reported results on Na-atom wire. Upon tuning the tight-binding parameters, we can distinctly identify the controlling parameters responsible to decide the width as well as the phase of odd-even oscillations in the conductance.

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References

  • A.I. Yanson, G.R. Bollinger, H.E. van der Brom, N. Agrait, J.M. van Ruitenbeek, Nature 395, 783 (1998)

    Google Scholar 

  • H. Ohnishi, Y. Kondo, K. Takayanagi, Nature 395, 780 (1998)

    Google Scholar 

  • R.H.M. Smit, C. Untiedt, G. Rubio-Bollinger, R.C. Segers, J.M. van Ruitenbeek, Phys. Rev. Lett. 91, 076805 (2003)

    Google Scholar 

  • W.H.A. Thijssen, D. Marjenburgh, R.H. Bremmer, J.M. van Ruitenbeek, Phys. Rev. Lett. 96, 026806 (2006)

    Google Scholar 

  • J.M. Krans, J.M. van Ruitenbeek, V.V. Fisun, I.K. Yanson, L.J. de Jongh, 375, 767 (1995); A.I. Yanson, I.K. Yanson, J.M. van Ruitenbeek, Nature (London). 400 144 (1999)

  • P. Sautet, C. Joachim, Phys. Rev. B 38, 12238 (1988)

    Google Scholar 

  • E.G. Emberly, G. Kirzenow, Phys. Rev. B 58, 10911 (1988)

    Google Scholar 

  • K. Hirose, M. Tsukada, Phys. Rev. Lett. 73, 150 (1994)

    Google Scholar 

  • K. Hirose, M. Tsukada, Phys. Rev. B 51, 5278 (1995)

    Google Scholar 

  • H.J. Choi, J. Ihm, Phys. Rev. B 59, 2267 (1999)

    Google Scholar 

  • P.A. Khomyakov, G. Brocks, Phys. Rev. B 70, 195402 (2004)

    Google Scholar 

  • N.D. Lang, Phys. Rev. B 52, 5335 (1995); N.D. Lang, Phys. Rev. Lett. 79, 1357 (1997)

    Google Scholar 

  • M.D. Ventra, S.T. Pantelides, N.D. Lang, Phys. Rev. Lett. 84, 979 (2000)

    Google Scholar 

  • Y. Xue, S. Datta, M.A. Ratner, Chem. Phys. 281, 151 (2001)

    Google Scholar 

  • M. Brandbyge, J.L. Mozos, P. Ordejon, J. Taylor, K. Stokbro, Phys. Rev. B 65, 165401 (2002)

    Google Scholar 

  • K.S. Thygesen, M.V. Bollinger, K.W. Jacobsen, Phys. Rev. B 67, 115404 (2003)

    Google Scholar 

  • A. Calzolari, N. Marzari, I. Souza, M.B. Nardelli, Phys. Rev. B 69, 035108 (2004)

    Google Scholar 

  • P. Khomyakov, G. Brocks, V. Karpan, M. Zwierzycki, P. J. Kelly, Phys. Rev. B 72, 035450 (2005)

    Google Scholar 

  • R. Haydock, V. Heine, M.J. Kelly, J. Phys. C: Solid State Phys 5, 2845 (1972)

    Google Scholar 

  • R. Haydock, Solid State Physics, edited by H. Ehrenreich, F. Sietz, D. Turnbull (Academic, New York, 1980) Vol. 35

  • T.J. Godin, R. Haydock, Phys. Rev. B 38, 5237 (1988)

    Google Scholar 

  • N.D. Lang, Phys. Rev. Lett. 79, 1357 (1997)

    Google Scholar 

  • S. Tsukamoto, K. Hirose, Phys. Rev. B 66, 161402 (2002)

    Google Scholar 

  • H.-S. Sim, H. -W. Lee, K.J. Chang, Phys. Rev. Lett. 87, 096803 (2001)

    Google Scholar 

  • P. Havu, T. Torsti, M.J. Puska, R.M. Nieminen, Phys. Rev. B 66, 075401 (2002)

    Google Scholar 

  • P. Khomyakov, G. Brocks, Phys. Rev. B 74, 165416 (2006)

    Google Scholar 

  • R. Gutierrez, F. Grossmann, R. Schmidt, Acta Phys. Pol. B 32, 443 (2001)

    Google Scholar 

  • Y. Egami, T. Ono, K. Hirose, Phys. Rev. B 72, 125318 (2005)

    Google Scholar 

  • P. Major, V.G. Suarez, S. Sirichantaropass, J. Cserti, C.J. Lambert, J. Ferrer, G. Tichy, Phys. Rev. B 73, 045421 (2006)

    Google Scholar 

  • J.K. Viljas, J.C. Cuevas, F. Pauly, M. Hafner, Phys. Rev. B 72, 245415 (2005)

    Google Scholar 

  • K.S. Thygesen, K.W. Jacobsen, Chem. Phys. 319, 111 (2005)

    Google Scholar 

  • P.A. Khomyakov, G. Brocks, Phys. Rev. B 70, 195402 (2004)

    Google Scholar 

  • K. Xia, M. Zwierzycki, M. Talanana, P.J. Kelly, Phys. Rev. B 73, 064420 (2006)

    Google Scholar 

  • K.K. Saha et al., Phys. Rev. B 77, 085427 (2008)

  • T.J. Godin, R. Haydock, Comp. Phys. Comm. 64, 123 (1991)

    Google Scholar 

  • I. Dasgupta, T. Saha, A. Mookerjee, Phys. Rev. B 47, 3097 (1993)

    Google Scholar 

  • S. Datta, D. Choidhuri, T. Saha-Dasgupta, S. Sengupta, Eur. Phys. Lett. 73, 765 (2006)

    Google Scholar 

  • The process of vector recursion converts the lattice into a one-dimensional chain, which is then folded to clump two sites of the chain together to define the vector basis set . For a chain with folded configuration (see Ref. 26 for details) both the reflected and transmitted waves move in the opposite direction to that of the incident wave

  • The Fermi energy of the lead-wire composite system is determined by the macroscopic lead Hamiltonian

  • M.B. Nardelli, Phys. Rev. B 60, 7828 (1999)

    Google Scholar 

  • K. Tarafder, T. Mitra, A. Mookerjee, Physica B 371, 100 (2006)

    Google Scholar 

  • Y.J. Lee et al. Phys. Rev. B 69, 125409 (2004)

  • H. -W. Lee, C.S. Kim, Phys. Rev. B 63, 075306 (2001)

  • N. Marzari, D. Vanderbilt, Phys. Rev. B 56, 12847 (1997)

    Google Scholar 

  • O.K. Andersen, T. Saha-Dasgupta, Phys. Rev. B 62, R16219 (2000)

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Authors and Affiliations

  1. Department of Materials Science, S. N. Bose National Centre for Basic Sciences, Kolkata, 700 098, India

    S. Datta, T. Saha-Dasgupta & A. Mookerjee

  2. Advanced Materials Research Unit, S. N. Bose National Centre for Basic Sciences, Kolkata, 700 098, India

    T. Saha-Dasgupta & A. Mookerjee

  3. Unit for Nanoscience and Technology, S. N. Bose National Centre for Basic Sciences, Kolkata, 700 098, India

    A. Mookerjee

Authors
  1. S. Datta
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  2. T. Saha-Dasgupta
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  3. A. Mookerjee
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Correspondence to T. Saha-Dasgupta.

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Datta, S., Saha-Dasgupta, T. & Mookerjee, A. Recursive approach to study transport properties of atomic wire. Eur. Phys. J. B 66, 57–65 (2008). https://doi.org/10.1140/epjb/e2008-00408-2

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  • DOI: https://doi.org/10.1140/epjb/e2008-00408-2

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