Complex Supersymmetry in Graphene
Miguel Castillo-Celeita, Alonso Contreras-Astorga, and David J., Fern\'andez C
TL;DR
This paper explores the application of complex supersymmetry techniques to graphene's Dirac equation under electromagnetic fields, leading to new Hermitian Hamiltonians and comparisons with matrix supersymmetric methods.
Contribution
It introduces complex factorization energies in supersymmetric quantum mechanics to generate novel Hermitian Hamiltonians for graphene.
Findings
New Hermitian graphene Hamiltonians derived
Comparison with matrix supersymmetric quantum mechanics
Enhanced understanding of supersymmetry in graphene systems
Abstract
This work analyzes monolayer graphene in external electromagnetic fields, which is described by the Dirac equation with minimal coupling. Supersymmetric quantum mechanics allows building new Dirac equations with modified magnetic fields. Here, we will use complex factorization energies and iterate the method in order to arrive at Hermitian graphene Hamiltonians. Finally, we compare these results with the matrix supersymmetric quantum mechanics approach.
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Taxonomy
TopicsGraphene research and applications · Quantum and electron transport phenomena · Quantum Mechanics and Non-Hermitian Physics