In this work, we study how the combination of rotation and a topological defect can influence the energy spectrumof a two dimensional electron gas in a strong perpendicularmagnetic field. A deviation from the linear behavior of the energy as a function ofmagnetic field, caused by a tripartite termof theHamiltonian, involvingmagneticfield, the topological charge of the defect and the rotation fr...

in this paper we find sufficient conditions on primitive inverse topological semigroup s under which: the inversion inv : (h(s)) (h(s)) is continuous; we show that every topologically periodic countable compact primitive inverse topological semigroups with closed h-classes is topologically isomorphic to an orthogonal sum p i2= bi (gi) of topological brandt extensions bi (gi) of countably compac...

Background

We study the robustness of quantum information stored in the degenerate ground space of a local, frustration-free Hamiltonian with commuting terms on a 2D spin lattice. On one hand, a macroscopic energy barrier separating the distinct ground states under local transformations would protect the information from thermal fluctuations. On the other hand, local topological order would shield the gro...