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Ground States of the Two-Dimensional Electron System at Half-Filling under Hydrostatic Pressure (Paperback, 1st ed. 2019)
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Ground States of the Two-Dimensional Electron System at Half-Filling under Hydrostatic Pressure (Paperback, 1st ed. 2019)
Series: Springer Theses
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This thesis presents the discovery of a surprising phase transition
between a topological and a broken symmetry phase. Phase
transitions between broken symmetry phases involve a change in
symmetry and those between topological phases require a change in
topological order; in rare cases, however, transitions may occur
between these two broad classes of phases in which the vanishing of
the topological order is accompanied by the emergence of a broken
symmetry. This thesis describes observations of such a special
phase transition in the two-dimensional electron gas confined in
the GaAs/AlGaAs structures. When tuned by hydrostatic pressure, the
= 5/2 and = 7/2 fractional quantum Hall states, believed to be
prototypical non-Abelian topological phases of the Pfaffian
universality class, give way to an electronic nematic phase.
Remarkably, the fractional quantum Hall states involved are due to
pairing of emergent particles called composite fermions. The
findings reported here, therefore, provide an interesting example
of competition of pairing and nematicity. This thesis provides an
introduction to quantum Hall physics of the two-dimensional
electron gas, contains details of the high pressure experiments,
and offers a discussion of the ramifications and of the origins of
the newly reported phase transition.
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