Electron spectrum for aligned SWNT array in a magnetic field

Grishanov, E.N.; Popov, I. Yu.

doi:10.1016/j.spmi.2016.11.010

Cited by 4 publications

(1 citation statement)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In our previous papers [14] and in the Master thesis of Ponomarev [Leble supervision], we studied stationary states of electron in the field of ZRPs that are positioned on a ring and cylinder surface in points that form a system with finite-group rotational symmetry with respect to the cylinder axis. We would mention here the important development of the theory with magnetic field account [15] and a development of computational techniques for complex ZRP systems with symmetry [16]. We also studied a scattering of a free electron on benzene-like ring systems of s-ZRP, comparing it with experiment.…”

Section: General Remarksmentioning

confidence: 99%

Cyclic-periodic ZRP structures. Scattering problem for generalized Bloch functions and conductivity

Leble¹

2018

Nanosystems: Phys. Chem. Math.

View full text Add to dashboard Cite

Problems of quantum description of nanostructures transport properties is investigated in a framework of the structure symmetry group. Corresponding states of conductivity electrons are defined as irreducible representations of the group. The right/left Bloch functions are written and the Floquet theorem is formulated. The results are used for formulating the zero range potential (ZRP) conditions for arbitrary orbital quantum number whose construction is presented via Darboux dressing chain built in a space of distributions. The electron spin variables are taken into account. A spectrum of the non-relativistic Hamiltonian with a system of a nanostructure ZRPs is found from the matrix eigenvalue problem. The scattering problem on an extra ZRP is formulated in terms of the right/left Bloch functions. As an example, the discrete spectrum and scattering on N-ZRP-centers is solved and compared with experimental data for benzene molecule.

show abstract

Section: General Remarksmentioning

confidence: 99%