Abstract
An explicitly solvable model for electron tunneling through a periodic quantum dots array in a magnetic field is suggested. It is based on the theory of self-adjoint extensions of symmetric operators. Two types of arrays are considered: a honeycomb lattice of point-like potentials and a square lattice of quantum dots with parabolic confinement. Ranges of the electron energies corresponding to zero transmission coefficients are observed. The dependence of the positions of these ＂zero transmission bands＂ on the magnetic field is investigated.
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