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Abstract |
The spin-statistics relation is a pillar of our description of the world. In this seminar, I will show that it is possible to introduce a measurable spin also for the quasiparticles of the quantum Hall effect, and that this spin satisfies a spin-statistics relation. I will discuss this idea in several explicit cases (including the case of Laughlin's quasielectron) and lay down a sketch of the proof. [1,2]
Finally, I will conclude the seminar discussing the entanglement properties of FQHE wavefunctions using a Bisognano-Wichmann Hamiltonian (see Ref. [3] for a recent experiment in the non-interacting case).
References:
[1] Nardin, Ardonne, LM, Spin-statistics relation for quantum Hall states, https://arxiv.org/abs/2211.07788
[2] Nardin, LM, Laughlin's quasielectron is a non-local composite fermion, https://arxiv.org/abs/2306.13972
[3] Redon, Liu, Bouhiron, Mittal, Fabre, Lopes, Nascimbene, Realizing the entanglement Hamiltonian of a topological quantum Hall system, https://arxiv.org/abs/2307.06251 |
