Dirac particles on periodic quantum graphs
| Autor: | J. R. Yusupov, K.K. Sabirov, Davron Matrasulov |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
Quantum Physics Condensed Matter - Mesoscale and Nanoscale Physics Dirac (software) Spectrum (functional analysis) FOS: Physical sciences Mathematical Physics (math-ph) Universality (dynamical systems) symbols.namesake Dirac equation Quantum graph Quasiperiodic function Mesoscale and Nanoscale Physics (cond-mat.mes-hall) symbols Graph (abstract data type) Boundary value problem Quantum Physics (quant-ph) Mathematical Physics Mathematical physics |
| Zdroj: | Physical review. E. 104(1-1) |
| ISSN: | 2470-0053 |
| Popis: | We consider the Dirac equation on periodic networks (quantum graphs). The self-adjoint quasi periodic 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|