Electronic transport through nanowires: a real-space finite-difference approach

Petr Khomyakov

Research output: ThesisPhD Thesis - Research UT, graduation UTAcademic

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Abstract

Nanoelectronics is a fast developing ¯eld. Therefore understanding of the electronic transport at the nanoscale is currently of great interest. This thesis "Electronic transport through nanowires: a real-space ¯nite-difference approach" aims at a general theoretical treatment of coherent electronic transport in mesoscopic and mi- croscopic systems by means of Green's function and mode-matching techniques. A general method has been developed for conductance calculations on the basis of the mode-matching technique within the real-space high-order ¯nite-difference scheme for representing a single electron equation. Testing of this real-space ¯nite-di®erence approach for model systems has been done. This approach in combination with the density-functional formalism has been applied to the conductance calculations in nanowires. The stability of even-odd conductance oscillations in monatomic sodium wires with respect to structural variations has been investigated.
Original languageUndefined
Awarding Institution
  • University of Twente
Supervisors/Advisors
  • Kelly, P.J. , Supervisor
  • Brocks, G.H.L.A., Advisor
Award date11 May 2006
Place of PublicationEnschede
Publisher
Print ISBNs90-365-2350-8
Publication statusPublished - 11 May 2006

Keywords

  • METIS-231590
  • IR-55929

Cite this

Khomyakov, Petr. / Electronic transport through nanowires: a real-space finite-difference approach. Enschede : FEBO druk b.v., 2006. 135 p.
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abstract = "Nanoelectronics is a fast developing ¯eld. Therefore understanding of the electronic transport at the nanoscale is currently of great interest. This thesis {"}Electronic transport through nanowires: a real-space ¯nite-difference approach{"} aims at a general theoretical treatment of coherent electronic transport in mesoscopic and mi- croscopic systems by means of Green's function and mode-matching techniques. A general method has been developed for conductance calculations on the basis of the mode-matching technique within the real-space high-order ¯nite-difference scheme for representing a single electron equation. Testing of this real-space ¯nite-di{\circledR}erence approach for model systems has been done. This approach in combination with the density-functional formalism has been applied to the conductance calculations in nanowires. The stability of even-odd conductance oscillations in monatomic sodium wires with respect to structural variations has been investigated.",
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year = "2006",
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Khomyakov, P 2006, 'Electronic transport through nanowires: a real-space finite-difference approach', University of Twente, Enschede.

Electronic transport through nanowires: a real-space finite-difference approach. / Khomyakov, Petr.

Enschede : FEBO druk b.v., 2006. 135 p.

Research output: ThesisPhD Thesis - Research UT, graduation UTAcademic

TY - THES

T1 - Electronic transport through nanowires: a real-space finite-difference approach

AU - Khomyakov, Petr

PY - 2006/5/11

Y1 - 2006/5/11

N2 - Nanoelectronics is a fast developing ¯eld. Therefore understanding of the electronic transport at the nanoscale is currently of great interest. This thesis "Electronic transport through nanowires: a real-space ¯nite-difference approach" aims at a general theoretical treatment of coherent electronic transport in mesoscopic and mi- croscopic systems by means of Green's function and mode-matching techniques. A general method has been developed for conductance calculations on the basis of the mode-matching technique within the real-space high-order ¯nite-difference scheme for representing a single electron equation. Testing of this real-space ¯nite-di®erence approach for model systems has been done. This approach in combination with the density-functional formalism has been applied to the conductance calculations in nanowires. The stability of even-odd conductance oscillations in monatomic sodium wires with respect to structural variations has been investigated.

AB - Nanoelectronics is a fast developing ¯eld. Therefore understanding of the electronic transport at the nanoscale is currently of great interest. This thesis "Electronic transport through nanowires: a real-space ¯nite-difference approach" aims at a general theoretical treatment of coherent electronic transport in mesoscopic and mi- croscopic systems by means of Green's function and mode-matching techniques. A general method has been developed for conductance calculations on the basis of the mode-matching technique within the real-space high-order ¯nite-difference scheme for representing a single electron equation. Testing of this real-space ¯nite-di®erence approach for model systems has been done. This approach in combination with the density-functional formalism has been applied to the conductance calculations in nanowires. The stability of even-odd conductance oscillations in monatomic sodium wires with respect to structural variations has been investigated.

KW - METIS-231590

KW - IR-55929

M3 - PhD Thesis - Research UT, graduation UT

SN - 90-365-2350-8

PB - FEBO druk b.v.

CY - Enschede

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Khomyakov P. Electronic transport through nanowires: a real-space finite-difference approach. Enschede: FEBO druk b.v., 2006. 135 p.