Ady Stern (Weizmann) The quantum Hall effects – introduction

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Presentation transcript:

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

Landau level filling factor = density of electrons The Hall effect I B +++++++++++++++ --------------------------------- Electrons in two dimensions Classically, Hall resistivity - longitudinal resistivity - unchanged by B. Quantum mechanically degenerate harmonic oscillator spectrum Landau levels Landau level filling factor = density of electrons density of flux quanta

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

Single particle spectrum – highly degenerate Landau levels

The original sample of the FQHE:

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