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Method of calculations for electron transport in multiterminal quantum systems based on real-space lattice models

Xu, Hongqi LU (2002) In Physical Review B (Condensed Matter and Materials Physics) 66(16).
Abstract
A formalism for the calculations of electron transport in multiterminal quantum systems is presented. The systems are described by tight-binding Hamiltonians. It is shown that by exploiting real-space Green's functions, a problem of the electron transport in a multiterminal system can be reformulated into a problem of the electron transport in an effective two-terminal system and can then be treated using a standard two-terminal method. Applications of the formalism to a three-terminal system, containing a quantum-confined, T-shaped structure, and a four-terminal system, containing a quantum-confined, cross-bar structure, are also presented. It is found that the transmission and reflection probabilities of the two multiterminal quantum... (More)
A formalism for the calculations of electron transport in multiterminal quantum systems is presented. The systems are described by tight-binding Hamiltonians. It is shown that by exploiting real-space Green's functions, a problem of the electron transport in a multiterminal system can be reformulated into a problem of the electron transport in an effective two-terminal system and can then be treated using a standard two-terminal method. Applications of the formalism to a three-terminal system, containing a quantum-confined, T-shaped structure, and a four-terminal system, containing a quantum-confined, cross-bar structure, are also presented. It is found that the transmission and reflection probabilities of the two multiterminal quantum systems show complex spectra. The results are explained in terms of the localization properties of the confined states in the systems. (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review B (Condensed Matter and Materials Physics)
volume
66
issue
16
publisher
American Physical Society
external identifiers
  • wos:000179286400084
  • scopus:0037109967
ISSN
1098-0121
DOI
10.1103/PhysRevB.66.165305
language
English
LU publication?
yes
id
7d3d6c92-14c9-4a66-bc43-e4178944881a (old id 323348)
date added to LUP
2007-11-19 13:04:09
date last changed
2017-01-01 07:13:41
@article{7d3d6c92-14c9-4a66-bc43-e4178944881a,
  abstract     = {A formalism for the calculations of electron transport in multiterminal quantum systems is presented. The systems are described by tight-binding Hamiltonians. It is shown that by exploiting real-space Green's functions, a problem of the electron transport in a multiterminal system can be reformulated into a problem of the electron transport in an effective two-terminal system and can then be treated using a standard two-terminal method. Applications of the formalism to a three-terminal system, containing a quantum-confined, T-shaped structure, and a four-terminal system, containing a quantum-confined, cross-bar structure, are also presented. It is found that the transmission and reflection probabilities of the two multiterminal quantum systems show complex spectra. The results are explained in terms of the localization properties of the confined states in the systems.},
  articleno    = {165305},
  author       = {Xu, Hongqi},
  issn         = {1098-0121},
  language     = {eng},
  number       = {16},
  publisher    = {American Physical Society},
  series       = {Physical Review B (Condensed Matter and Materials Physics)},
  title        = {Method of calculations for electron transport in multiterminal quantum systems based on real-space lattice models},
  url          = {http://dx.doi.org/10.1103/PhysRevB.66.165305},
  volume       = {66},
  year         = {2002},
}