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Jiaqi Cai 2024-2027 Pappalardo Fellow Experimental Condensed Matter Physics “Electron Choreography in Flatland: from Hall Effect to Zero-field Anyons” Electrons, much like dancers, follow intricate choreographies dictated by the forces around them. In the classical Hall effect, they perform a simple, orderly waltz—marching sideways under a magnetic field. Moving into the quantum Hall regime, their motion transforms into a precise, synchronized ballet, dictated by quantized cyclotron orbits. However, in the fractional quantum Hall effect (FQHE), the choreography becomes far more mysterious. Electron motion is no longer a clear-cut dance but a quantum improvisation, where individual trajectories dissolve into a fuzzy, entangled swirl of probability. If you focus on one dancer at a time, their behavior no longer resembles individual electrons but rather fractionalized quasiparticles—anyons—moving to a rhythm that defies classical intuition. Most remarkably, the recently discovered fractional quantum anomalous Hall effect (FQAHE) eliminates the need for an external magnetic field, allowing electrons to engage in a self-sustained, topologically protected quantum tango without any conductor. In this exotic state, topology and strong correlation dictate an intricate electronic dance that could revolutionize our understanding of quantum materials and pave the way for breakthroughs in quantum computing.