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MATHEMATICS
Model of tunnelling through double quantum layer in a magnetic field
D. L. Meynster, I. Yu. Popov, A. I. Popov ITMO University, Kronverkskiy, 49, St. Petersburg, 197101, Russia
Abstract:
Several explicitly solvable models are constructed for electron tunneling in a system of double two-dimensional periodic arrays of quantum dots with two laterally coupled leads in a homogeneous magnetic field are constructed. The theory of self-adjoint extensions of symmetric operators is used for modelling of electron transport. Dependencies of the transmission coefficient on the magnetic field, the energy of electron and the distance between layers are investigated. The results are compared with those of tunnelling through the corresponding single-layer periodic arrays.
Keywords:
quantum dots array, magnetic field, scattering.
Received: 16.02.2017 Revised: 18.03.2017
Citation:
D. L. Meynster, I. Yu. Popov, A. I. Popov, “Model of tunnelling through double quantum layer in a magnetic field”, Nanosystems: Physics, Chemistry, Mathematics, 8:2 (2017), 194–201
Linking options:
https://www.mathnet.ru/eng/nano25 https://www.mathnet.ru/eng/nano/v8/i2/p194
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Abstract page: | 53 | Full-text PDF : | 15 |
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