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cond-mat.mes-hall2024
Role of magnetic doping in topological HgTe and application of the Gram-Schmidt method for computing impurity states in quantum wells
Dawid Bugajewski, Tomasz Dietl
The quantum spin Hall effect in non-magnetic and Mn-doped HgTe quantum well is strongly affected by Kondo scattering of edge electrons by holes localized on acceptors. A generalize…
math.RA2024
Topology and geometry of the general composition of formal power series -- towards Fréchet-Lie group-like formalism
Dawid Bugajewski
In this article, we study the properties of the autonomous superposition operator on the space of formal power series, including those with nonzero constant term. We prove its cont…