Dirac particles on periodic quantum graphs

J. R. Yusupov, K. K. Sabirov, and D. U. Matrasulov
Phys. Rev. E 104, 014219 – Published 28 July 2021

Abstract

We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasiperiodic boundary conditions are derived. The secular equation allowing us to find the energy spectrum of the Dirac particles on periodic quantum graphs is obtained. Band spectra of the periodic quantum graphs of different topologies are calculated. Universality of the probability to be in the spectrum for certain graph topologies is observed.

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  • Received 29 November 2020
  • Revised 17 April 2021
  • Accepted 7 July 2021

DOI:https://doi.org/10.1103/PhysRevE.104.014219

©2021 American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsCondensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

J. R. Yusupov1, K. K. Sabirov2,3, and D. U. Matrasulov1,4

  • 1Yeoju Technical Institute in Tashkent, 156 Usman Nasyr Street, 100121 Tashkent, Uzbekistan
  • 2Tashkent University of Information Technologies, 108 Amir Temur Street, 100200 Tashkent, Uzbekistan
  • 3Tashkent State Technical University named after Islam Karimov, 2 Universitet Street, 100095 Tashkent, Uzbekistan
  • 4Turin Polytechnic University in Tashkent, 17 Niyazov Street, 100095 Tashkent, Uzbekistan

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Issue

Vol. 104, Iss. 1 — July 2021

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