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The metastable bound state of a pair of two-dimensional spatially separated electrons in antiparallel magnetic fields

2003/04/01 by S. I. Shevchenko, S I Shevchenko, E. D. Vol +1
Materials Science · Physics and Astronomy · #Advanced Materials and Semiconductor Technologies #Quantum and electron transport phenomena #Semiconductor Quantum Structures and Devices #cond-mat.mes-hall

paper · pdf · doi:10.1088/0953-8984/15/49/021

7 pages

arxiv created 2003/04/01 · openalex publication_date 2003/11/25 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We propose a new mechanism for binding of two equally charged carriers in a double-layer system subjected to a magnetic field of a special form. A field configuration for which the magnetic fields in adjacent layers are equal in magnitude and opposite in direction is considered. In such a field an additional integral of motion—the momentum of the pair P —arises. For the case where in one layer the carrier is in the zero ( n = 0) Landau level while in the other layer the carrier is in the first ( n = 1) Landau level, the dependence of the energy of the pair on its momentum is found. This dependence turns out to be a nonmonotonic one: a local maximum and a local minimum appear, indicating the emergence of a metastable bound state of two carriers with the same sign of electrical charge.

Citations