Discernible signatures of fractionally charged anyons in a Pfaffian-Laughlin state

Vadym Apalkov; Tapash Chakraborty

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arXiv · 2605.21462

Discernible signatures of fractionally charged anyons in a Pfaffian-Laughlin state

Vadym Apalkov·Tapash Chakraborty

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Abstract

Understanding the nature of quasihole excitations, i.e., anyons that have fractional charge and fractional statistics, has been a challenging problem in condensed matter physics. Our theoretical approach to this problem has been to consider a quantum dot containing a few charged particles, Coulomb coupled to the incompressible fluid. The size of the dot and the separation distance of the dot from the incompressible state strongly influences the energetics of the Laughlin quasiholes. Photoluminescence (PL) spectroscopy studies of this system have previously been able to probe these quasiholes that have confirmed our estimates of the Laughlin quasihole energies. Turning to the Pfaffian state, we now observe that such a theoretical approach is also able to provide valuable information about the Pfaffian quasiholes, viz., the energy dispersion, the charge density distribution and the quasihole energy. The energy dispersion of e/4 quasiholes derived here, clearly reflect the interaction between the quantum dot and the incompressible Pfaffian state. PL spectroscopy experiments on the 5/2 Pfaffian-Laughlin state could perhaps shed light on the energetics we found here of these elusive quasiparticles.

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Vadym Apalkov, Tapash Chakraborty. 2026-09-15. Discernible signatures of fractionally charged anyons in a Pfaffian-Laughlin state. https://arxiv.org/abs/2605.21462

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