One-dimensional ring in the presence of Rashba spin-orbit interaction: Derivation of the correct Hamiltonian | Zendy

F. E. Meijer | Zendy; Alberto F. Morpurgo | Zendy; T. M. Klapwijk | Zendy

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One-dimensional ring in the presence of Rashba spin-orbit interaction: Derivation of the correct Hamiltonian

Author(s) -

F. E. Meijer,

Alberto F. Morpurgo,

T. M. Klapwijk

Publication year - 2002

Publication title -

physical review. b, condensed matter

Language(s) - English

Resource type - Journals

eISSN - 1095-3795

pISSN - 0163-1829

DOI - 10.1103/physrevb.66.033107

Subject(s) - hamiltonian (control theory) , physics , spin–orbit interaction , electron , ring (chemistry) , orbit (dynamics) , spin (aerodynamics) , theoretical physics , classical mechanics , quantum mechanics , mathematics , mathematical optimization , chemistry , organic chemistry , engineering , thermodynamics , aerospace engineering

We describe in detail the procedure for obtaining the correct one-dimensional Hamiltonian of electrons moving on a ring in the presence of Rashba spin-orbit interaction. The subtlety of this seemingly trivial problem has not been fully appreciated so far and it has led to some ambiguities in the existing literature. Our work illustrates the origin of these ambiguities and solves them.

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