Localization effects in a periodic quantum graph with magnetic field and spin-orbit interaction

2006/07/31 by Konstantin Pankrashkin
Mathematics · Physics and Astronomy · #Graph #Graph theory #Magnetic field #Quantum #Quantum and electron transport phenomena #Quantum computer #Quantum graph #Spectral Theory in Mathematical Physics #Spin (aerodynamics) #Topological Materials and Phenomena #math-ph #math.MP

paper · pdf · doi:10.1063/1.2364184

published as J. Math. Phys. 47 (2006) 112105 · 25 pages, typos corrected, references extended

arxiv created 2006/08/08 · openalex publication_date 2006/11/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

A general technique for the study of magnetic Rashba Hamiltonians in quantum graphs is presented. We use this technique to show how manipulating the magnetic and spin parameters can be used to create localized states in a certain periodic graph (T3 lattice).

Citations

• Rashba effect and magnetic field in semiconductor quantum wires
• Disorder and interactions in Aharonov-Bohm cages
• Periodic Orbit Theory and Spectral Statistics for Quantum Graphs
• Aharonov-Bohm Cages in Two-Dimensional Structures
• Kirchhoff's rule for quantum wires
• Rashba-Effect-Induced Localization in Quantum Networks
• Aharonov–Bohm cages in the GaAlAs/GaAs system
• Rashba effect in quantum networks
• Quantum Wires with Magnetic Fluxes