Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling

Sung Ryul Yang, N. Y. Hwang

Research output: Contribution to journalArticle

26 Citations (Scopus)

Abstract

We propose that n-type semiconductor quantum dots with the Rashba and Dresselhaus spin orbit interactions may be used for single electron manipulation through adiabatic transformations between degenerate states. All the energy levels are discrete in quantum dots and possess a double degeneracy due to time reversal symmetry in the presence of the Rashba and/or Dresselhaus spin orbit coupling terms. We find that the presence of double degeneracy does not necessarily give rise to a finite non-Abelian (matrix) Berry phase. We show that a distorted two-dimensional harmonic potential may give rise to non-Abelian Berry phases. The presence of the non-Abelian Berry phase may be tested experimentally by measuring the optical dipole transitions.

Original languageEnglish
Article number125330
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume73
Issue number12
DOIs
Publication statusPublished - 2006 Mar 29

Fingerprint

n-type semiconductors
Semiconductor quantum dots
Orbits
quantum dots
orbits
Electrons
spin-orbit interactions
Electron energy levels
manipulators
electrons
energy levels
dipoles
harmonics
symmetry
matrices

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

@article{aaa56cb1242642b5bb303e8eac32cd6e,
title = "Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling",
abstract = "We propose that n-type semiconductor quantum dots with the Rashba and Dresselhaus spin orbit interactions may be used for single electron manipulation through adiabatic transformations between degenerate states. All the energy levels are discrete in quantum dots and possess a double degeneracy due to time reversal symmetry in the presence of the Rashba and/or Dresselhaus spin orbit coupling terms. We find that the presence of double degeneracy does not necessarily give rise to a finite non-Abelian (matrix) Berry phase. We show that a distorted two-dimensional harmonic potential may give rise to non-Abelian Berry phases. The presence of the non-Abelian Berry phase may be tested experimentally by measuring the optical dipole transitions.",
author = "Yang, {Sung Ryul} and Hwang, {N. Y.}",
year = "2006",
month = "3",
day = "29",
doi = "10.1103/PhysRevB.73.125330",
language = "English",
volume = "73",
journal = "Physical Review B-Condensed Matter",
issn = "1098-0121",
publisher = "American Institute of Physics Publising LLC",
number = "12",

}

TY - JOUR

T1 - Single electron control in n-type semiconductor quantum dots using non-Abelian holonomies generated by spin orbit coupling

AU - Yang, Sung Ryul

AU - Hwang, N. Y.

PY - 2006/3/29

Y1 - 2006/3/29

N2 - We propose that n-type semiconductor quantum dots with the Rashba and Dresselhaus spin orbit interactions may be used for single electron manipulation through adiabatic transformations between degenerate states. All the energy levels are discrete in quantum dots and possess a double degeneracy due to time reversal symmetry in the presence of the Rashba and/or Dresselhaus spin orbit coupling terms. We find that the presence of double degeneracy does not necessarily give rise to a finite non-Abelian (matrix) Berry phase. We show that a distorted two-dimensional harmonic potential may give rise to non-Abelian Berry phases. The presence of the non-Abelian Berry phase may be tested experimentally by measuring the optical dipole transitions.

AB - We propose that n-type semiconductor quantum dots with the Rashba and Dresselhaus spin orbit interactions may be used for single electron manipulation through adiabatic transformations between degenerate states. All the energy levels are discrete in quantum dots and possess a double degeneracy due to time reversal symmetry in the presence of the Rashba and/or Dresselhaus spin orbit coupling terms. We find that the presence of double degeneracy does not necessarily give rise to a finite non-Abelian (matrix) Berry phase. We show that a distorted two-dimensional harmonic potential may give rise to non-Abelian Berry phases. The presence of the non-Abelian Berry phase may be tested experimentally by measuring the optical dipole transitions.

UR - http://www.scopus.com/inward/record.url?scp=33645123863&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33645123863&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.73.125330

DO - 10.1103/PhysRevB.73.125330

M3 - Article

AN - SCOPUS:33645123863

VL - 73

JO - Physical Review B-Condensed Matter

JF - Physical Review B-Condensed Matter

SN - 1098-0121

IS - 12

M1 - 125330

ER -