Regular Article

The European Physical Journal B

, 87:181

First online:

Electron energy spectrum for a bent chain of nanospheres

  • Dmitry A. EreminAffiliated withMordovian State University
  • , Dmitry A. IvanovAffiliated withMordovian State University
  • , Igor Yu. PopovAffiliated withITMO University Email author 

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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.


Mesoscopic and Nanoscale Systems