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Electron energy spectrum for a bent chain of nanospheres

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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.

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Authors and Affiliations

  1. Mordovian State University, Bolshevistskaya, 68, 430000, Saransk, Russia

    Dmitry A. Eremin & Dmitry A. Ivanov

  2. ITMO University, Kronverkskiy, 49, 197101, St. Petersburg, Russia

    Igor Yu. Popov

Authors
  1. Dmitry A. Eremin
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  2. Dmitry A. Ivanov
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  3. Igor Yu. Popov
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Correspondence to Igor Yu. Popov.

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Eremin, D.A., Ivanov, D.A. & Popov, I.Y. Electron energy spectrum for a bent chain of nanospheres. Eur. Phys. J. B 87, 181 (2014). https://doi.org/10.1140/epjb/e2014-50002-0

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  • DOI: https://doi.org/10.1140/epjb/e2014-50002-0

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