RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



J. Sib. Fed. Univ. Math. Phys.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


J. Sib. Fed. Univ. Math. Phys., 2010, Volume 3, Issue 3, Pages 280–288 (Mi jsfu127)  

This article is cited in 1 scientific paper (total in 1 paper)

Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities

Karl-Fredrik Berggren, Iryna I. Yakimenko

Division of Theory and Modeling, IFM, Linköping University, Linköping, Sweden

Abstract: A basic model for particle states and current flow in open quantum dots/billiards are investigated. The model is unconventional and extends the use of complex potentials first introduced in phenomenological nuclear inelastic scattering theory (the optical model). Attached leads/source drain are represented by complex potentials. Probability densities and currents flows for open 2D quantum dots/billiards are calculated and the results are compared with microwave measurements used to emulate the dot. We also apply the model to a rectangular enclosure and report on helical flows guided by nodal lines and disc-like accumulations of flow lines. The model is of conceptual as well as practical and educational interest.

Keywords: nano-scale systems, quantum dots, microwave billiards, quantum transport, vortices, helical motion, streamlines.

Full text: PDF file (1130 kB)
References: PDF file   HTML file
UDC: 538.935
Received: 10.02.2010
Received in revised form: 10.04.2010
Accepted: 20.06.2010
Language:

Citation: Karl-Fredrik Berggren, Iryna I. Yakimenko, “Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities”, J. Sib. Fed. Univ. Math. Phys., 3:3 (2010), 280–288

Citation in format AMSBIB
\Bibitem{BerYak10}
\by Karl-Fredrik~Berggren, Iryna~I.~Yakimenko
\paper Basic modeling of openness, quantum states and transport in two- and three-dimensional ballistic cavities
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2010
\vol 3
\issue 3
\pages 280--288
\mathnet{http://mi.mathnet.ru/jsfu127}


Linking options:
  • http://mi.mathnet.ru/eng/jsfu127
  • http://mi.mathnet.ru/eng/jsfu/v3/i3/p280

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Wahlstrand B., Yakimenko I.I., Berggren K.-F., “Wave Transport and Statistical Properties of An Open Non-Hermitian Quantum Dot With Parity-Time Symmetry”, Phys. Rev. E, 89:6 (2014), 062910  crossref  isi  elib  scopus
  • Журнал Сибирского федерального университета. Серия "Математика и физика"
    Number of views:
    This page:234
    Full text:53
    References:24

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2021