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Discover the fascinating world of topological states of matter, from the Quantum Hall Effect to Majorana fermions, in this insightful lecture by Ady Stern from Weizmann Institute. Dive into the basics of quantum Hall effects, including the concept of Landau level filling factor, electrons in two dimensions, and the quantized Hall resistivity. Delve into the intriguing phenomena of the integer and fractional quantum Hall effects, and explore the highly degenerate Landau levels in single particle spectra. Uncover the intrinsic properties of topological states of matter through the lens of Stern's comprehensive presentation.
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Topological states of matter – from the quantum Hall effect to Majorana fermions Ady Stern (Weizmann) • The quantum Hall effects – introduction • Unavoidable conclusions
The quantum Hall effects Introduction
--------------------------------- I B +++++++++++++++ Landau level filling factor = density of electrons density of flux quanta The Hall effect Electrons in two dimensions Classically, Hall resistivity - longitudinal resistivity - unchanged by B. Quantum mechanically degenerate harmonic oscillator spectrum Landau levels
The quantum Hall effect • zero longitudinal resistivity - no dissipation • quantized Hall resistivity to amazing precision • Integer quantum Hall effect - integer n • Fractional quantum Hall effect
