Coherent transport in non-Abelian quantum graphs

• URL: http://arxiv.org/abs/2605.03826v1
• Date: Tue, 05 May 2026 14:54:24 GMT
• Title: Coherent transport in non-Abelian quantum graphs
• Abstract summary: We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction.<n>The interplay of the corresponding Abelian and non-Abelian gauge fields leads to an intricate behavior of the conductance, which has different periodicities in the diffusive and ballistic regimes.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction. The interplay of the corresponding Abelian and non-Abelian gauge fields leads to an intricate behavior of the conductance, which has different periodicities in the diffusive and ballistic regimes. We classify all configurations of magnetic and spin-orbit fields where a logarithmically divergent weak-(anti)localization correction appears in the diffusive regime. The conductivity of topologically distinct configurations is the same in the diffusive regime but different in the ballistic regime. The proposed setup provides a feasible realization of quantum graphs with non-Abelian gauge fields.

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