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

Sung Ryul Yang, N. Y. Hwang

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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

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ASJC Scopus subject areas

  • Condensed Matter Physics

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