Wave function scarring in open ballistic quantum dots

Richard Akis, David K. Ferry, Jonathan P. Bird

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

Numerical simulations of the quantum mechanical transport and corresponding wave functions of open quantum dots, with leads supporting a small number of propagating modes, have been carried out. We have found that the wave functions that coincide with some of the resonance features in the transport appear to show scarring, that is, the amplitude of the wave functions are highly concentrated along underlying single, classical trajectories. We discuss some of the conditions necessary for dot shape and size and the magnetic field for this scarring effect to become apparent. In particular, we find the nature of the leads to be quite important, with injection of the electrons via an angled, collimated beam being crucial for the excitation of a preferred set of regular, semiclassical trajectories.

Original languageEnglish (US)
Pages (from-to)3981-3985
Number of pages5
JournalJapanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers
Volume36
Issue number6 SUPPL. B
StatePublished - Jun 1997

Fingerprint

Wave functions
Ballistics
ballistics
Semiconductor quantum dots
quantum dots
wave functions
Trajectories
trajectories
injection
Magnetic fields
Electrons
Computer simulation
magnetic fields
excitation
electrons
simulation

Keywords

  • Numerical stimulation
  • Periodic orbits
  • Quantum dots
  • Scarring

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Wave function scarring in open ballistic quantum dots. / Akis, Richard; Ferry, David K.; Bird, Jonathan P.

In: Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers, Vol. 36, No. 6 SUPPL. B, 06.1997, p. 3981-3985.

Research output: Contribution to journalArticle

Akis, Richard ; Ferry, David K. ; Bird, Jonathan P. / Wave function scarring in open ballistic quantum dots. In: Japanese Journal of Applied Physics, Part 1: Regular Papers and Short Notes and Review Papers. 1997 ; Vol. 36, No. 6 SUPPL. B. pp. 3981-3985.
@article{0800078488de4261829e9eb921063434,
title = "Wave function scarring in open ballistic quantum dots",
abstract = "Numerical simulations of the quantum mechanical transport and corresponding wave functions of open quantum dots, with leads supporting a small number of propagating modes, have been carried out. We have found that the wave functions that coincide with some of the resonance features in the transport appear to show scarring, that is, the amplitude of the wave functions are highly concentrated along underlying single, classical trajectories. We discuss some of the conditions necessary for dot shape and size and the magnetic field for this scarring effect to become apparent. In particular, we find the nature of the leads to be quite important, with injection of the electrons via an angled, collimated beam being crucial for the excitation of a preferred set of regular, semiclassical trajectories.",
keywords = "Numerical stimulation, Periodic orbits, Quantum dots, Scarring",
author = "Richard Akis and Ferry, {David K.} and Bird, {Jonathan P.}",
year = "1997",
month = "6",
language = "English (US)",
volume = "36",
pages = "3981--3985",
journal = "Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes",
issn = "0021-4922",
publisher = "Japan Society of Applied Physics",
number = "6 SUPPL. B",

}

TY - JOUR

T1 - Wave function scarring in open ballistic quantum dots

AU - Akis, Richard

AU - Ferry, David K.

AU - Bird, Jonathan P.

PY - 1997/6

Y1 - 1997/6

N2 - Numerical simulations of the quantum mechanical transport and corresponding wave functions of open quantum dots, with leads supporting a small number of propagating modes, have been carried out. We have found that the wave functions that coincide with some of the resonance features in the transport appear to show scarring, that is, the amplitude of the wave functions are highly concentrated along underlying single, classical trajectories. We discuss some of the conditions necessary for dot shape and size and the magnetic field for this scarring effect to become apparent. In particular, we find the nature of the leads to be quite important, with injection of the electrons via an angled, collimated beam being crucial for the excitation of a preferred set of regular, semiclassical trajectories.

AB - Numerical simulations of the quantum mechanical transport and corresponding wave functions of open quantum dots, with leads supporting a small number of propagating modes, have been carried out. We have found that the wave functions that coincide with some of the resonance features in the transport appear to show scarring, that is, the amplitude of the wave functions are highly concentrated along underlying single, classical trajectories. We discuss some of the conditions necessary for dot shape and size and the magnetic field for this scarring effect to become apparent. In particular, we find the nature of the leads to be quite important, with injection of the electrons via an angled, collimated beam being crucial for the excitation of a preferred set of regular, semiclassical trajectories.

KW - Numerical stimulation

KW - Periodic orbits

KW - Quantum dots

KW - Scarring

UR - http://www.scopus.com/inward/record.url?scp=0008821557&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0008821557&partnerID=8YFLogxK

M3 - Article

VL - 36

SP - 3981

EP - 3985

JO - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

JF - Japanese Journal of Applied Physics, Part 1: Regular Papers & Short Notes

SN - 0021-4922

IS - 6 SUPPL. B

ER -