Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures

• URL: http://arxiv.org/abs/2004.07838v2
• Date: Fri, 26 Jun 2020 14:16:31 GMT
• Title: Dirac Particles in Transparent Quantum Graphs: Tunable transport of relativistic quasiparticles in branched structures
• Authors: J.R. Yusupov, K.K. Sabirov, Q.U. Asadov, M. Ehrhardt and D.U. Matrasulov
• Abstract summary: We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with the one of transparent boundary conditions applied to the Dirac equation on metric graphs.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider the dynamics of relativistic spin-half particles in quantum graphs with transparent branching points. The system is modeled by combining the quantum graph concept with the one of transparent boundary conditions applied to the Dirac equation on metric graphs. Within such an approach, we derive simple constraints, which turn the usual Kirchhoff-type boundary conditions at the vertex equivalent to the transparent ones. Our method is applied to quantum star graph. An extension to more complicated graph topologies is straightforward.

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