Statistical Transmutation and Phases of Two-Dimensional Quantum Matter
Abstract
After surveying the quantum kinematics and dynamics of statistical transmutation, I show how this concept suggests a phase diagram for the two-dimensional matter in a magnetic field, as a function of quantum statistics. I discuss the fundamental properties of quasiparticles in the different phases, and briefly suggest gedanken\/ -- but not manifestly infeasible -- experiments to show up these properties.
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