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.
- Received 29 November 2020
- Revised 17 April 2021
- Accepted 7 July 2021
DOI:https://doi.org/10.1103/PhysRevE.104.014219
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