2022/12/12 by Danilo Polo Ojito, Ojito, Danilo Polo · 2 citations
Mathematics · Physics and Astronomy · #19K56 #81R60 #FOS: Mathematics #FOS: Physical sciences #K-Theory and Homology (math.KT) #Markov Chains and Monte Carlo Methods #Mathematical Physics (math-ph) #Primary: 81R60 #Quantum chaos and dynamical systems #Secondary: 46L80 #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2212.06234
openalex publication_date 2022/12/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the propagation of currents along the interface of two 2-d magnetic systems, where one of them occupies the first quadrant of the plane. By considering the tight-binding approximation model and K-theory, we prove that, for an integer number that is given by the difference of two bulk topological invariants of each individual system, such interface currents are quantized. We further state the necessary conditions to produce corner states for these kinds of underlying systems, and we show that they have topologically protected asymptotic invariants.