Model of tunnelling through double quantum layer in a magnetic field
https://doi.org/10.17586/2220-8054-2017-8-2-194-201
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.
Supporting agencies: This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by grant MK-5161.2016.1 of the President of the Russian Federation, DFG Grant NE 1439/3-1, by grant 16-11-10330 of Russian Science Foundation.
About the Authors
D. L. Meynster
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
I. Y. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
A I. Popov
ITMO University
Russian Federation
Russian Federation
Kronverkskiy, 49, St. Petersburg, 197101
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Review
For citations:
Meynster D.L., Popov I.Y., Popov A.I. Model of tunnelling through double quantum layer in a magnetic field. Nanosystems: Physics, Chemistry, Mathematics. 2017;8(2):194-201. https://doi.org/10.17586/2220-8054-2017-8-2-194-201
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