The European Physical Journal B

, 87:181

Electron energy spectrum for a bent chain of nanospheres

  • Dmitry A. Eremin
  • Dmitry A. Ivanov
  • Igor Yu. Popov
Regular Article

DOI: 10.1140/epjb/e2014-50002-0

Cite this article as:
Eremin, D.A., Ivanov, D.A. & Popov, I.Y. Eur. Phys. J. B (2014) 87: 181. doi:10.1140/epjb/e2014-50002-0

Abstract

An infinite bent chain of nanospheres connected by wires is considered. We assume that there are δ-like potentials at the contact points. A solvable mathematical model based on the theory of self-adjoint extensions of symmetric operators is constructed. The spectral equation for the model operator is derived in an explicit form. It is shown that the Hamiltonian has non-empty point spectrum. The positions of the eigenvalues for different values of the system parameters (the length of the connecting wires, the intensities of δ-interactions and the bent angle) are found.

Keywords

Mesoscopic and Nanoscale Systems

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  • Dmitry A. Eremin
    • 1
  • Dmitry A. Ivanov
    • 1
  • Igor Yu. Popov
    • 2
  1. 1.Mordovian State UniversitySaranskRussia
  2. 2.ITMO UniversitySt. PetersburgRussia