Quantum hall effect skyrmions: nuclear magnetic resonance and heat capacity experiments

(2001)

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Authors
Supervisors
Bayot, Vincent
Abstract
(en) Of ail the new physics generated by the highly perfect two-dimensional (2D) électron Systems, the quantum Hall effects (QHEs), integer and fractional, with their richness and complexity are perhaps the most active and excit- ing. The fractional QHE is the manifestation of a new state of électron m atter - a. peculiar, uniform density incompressible liquid phase, observed a t low tem pérature (T) and in the presence of a strong magnetic fîeld (B)perpendicular to the 2D électron layers. P art of the intellectual fascination with the QHE phases stems from the challenge of finding new concepts to describe their properties.The energy levels available to an électron confined to a 2D layer in a perpendicular magnetic field are known as Landau levels. Each Landau level can accommodate many électrons; dividing the number of électrons per unit sample area bv the degeneracy of a Landau level defines the filling factor v. At a précisé value of the magnetic field (// = 1), the 2D électrons condense into a ferromagnetic QHE ground state: the electronic System is an itinérant ferromagnet with a quantized Hall resistivity. The low-energy electron-spin dynamics of this QHE ferromagnet is extremely unusual be- cause of the subtle interplay between Coulomb interaction among électrons and Zeeman coupling of electronic spins to the external B. The elemen- tary excitations are spin-textured objects, called Skyrmions, which display complex equilibrium beha.vior reflecting liquid, crystalline and glassy phases. Qualitatively novel physics arises, moreover, because these topologica.l exci­tations carry electrical charge and possess an effective spin larger than th a t of a single électron
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Citations

Melinte, S. (2001). Quantum hall effect skyrmions: nuclear magnetic resonance and heat capacity experiments. https://hdl.handle.net/2078.5/124329