Dirac particles on periodic quantum graphs.
basic_science · Level V
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- Record sourced from PubMed, PMID 34412336.
- Also identified by DOI 10.1103/PhysRevE.104.014219.
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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.