2003/09/26 by K. Kikoin, Kikoin, K., Y. Avishai +3
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #Quantum and electron transport phenomena #Quantum optics and atomic interactions #Semiconductor Quantum Structures and Devices #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/0309606
Talk given at NATO conference MQO (Bled, Slovenia, 7-10 September 2003)
arxiv created 2003/09/26 · openalex publication_date 2003/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The concept of dynamical hidden symmetries in the physics of electron tunneling through composite quantum dots (CQD) and quantum ladders (QL) is developed and elucidated. Quite generally, dynamical symmetries are realizable in the space of low energy excited states in a given charge sector of nanoobjects, which involve spin variables and/or electron-hole pairs. While spin multiplets in an individual rung of a QL or in an isolated CQD form a representation space of the usual rotation group, this SU(2) symmetry is broken due to spin transfer (in QL) electron cotunneling through CQD. Dynamical symmetries in the space of spin multiplets are then unravelled in these processes. The corresponding symmetry groups are described by SO(n) or SU(n) depending on the origin of rotation group symmetry breaking. The effective spin Hamiltonians of QL and CQD are derived and expressed in terms of the pertinent group generators. We employ fermionization procedure for analyzing the physical content of these dynamical symmetries, including Kondo tunneling through CQD and Haldane gap formation in QL.