Dresden 2017 – scientific programme

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HL: Fachverband Halbleiterphysik

HL 77: Transport in High Magnetic Fields

HL 77.1: Talk

Thursday, March 23, 2017, 14:45–15:00, POT 112

Topological Entanglement in Two-Dimensional Electron Gases Under Perpendicular Magnetic Fields — •Daniel Hernangómez-Pérez^1,2, Thierry Champel², and Serge Florens³ — ¹Institut für Theoretische Physik, Universität Regensburg, D-93053 Regensburg, Germany — ²Université Grenoble Alpes/CNRS, Laboratoire de Physique et Modélisation des Milieux Condensés, B.P. 166, 38042 Grenoble Cedex 9, France — ³Institut Néel, CNRS and Université Grenoble Alpes, B.P. 166, 38042 Grenoble Cedex 9, France

Inspired by a recently developed single-particle vortex state formalism, we pinpoint a non-trivial long-range bipartite entanglement of electron cyclotron motions which can occur in two-dimensional electron gases under perpendicular magnetic fields. The entanglement is achieved through the introduction of bicomplex spinorial eigenstates of the clean Hamiltonian describing a four-dimensional (4D) singular hydrodynamic flow. We show that the topological origin of the entanglement, as well as the winding and parity quantum numbers describing the quantum states, suggests that 4D vortices of electron pairs are good candidates for stable quasiparticles at high magnetic fields. The relevance of this approach is discussed in the context of the fractional quantum Hall effect.