Unexpected non-universality of the time braiding phase of anyons tied by the scaling dimension

• URL: http://arxiv.org/abs/2510.20592v2
• Date: Mon, 27 Oct 2025 12:22:06 GMT
• Title: Unexpected non-universality of the time braiding phase of anyons tied by the scaling dimension
• Authors: Aleksander Latyshev, Ines Safi,
• Abstract summary: We use a braiding nonequilibrium fluctuation dissipation relation linking the DC noise to the response function inferred from the braiding constraint in the time-domain.<n>This questions the universality of $theta$ that can reflect the microscopic edge dynamics, in contrast to the topologically protected braiding phase in the space domain.
• Score: 45.88028371034407
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We use a braiding nonequilibrium fluctuation dissipation relation linking the DC noise to the response function inferred from the braiding constraint in the time-domain with a phase $\theta$ within the UNEPT (Unified Non equilibrium Perturbative Theory). By applying the Kramers-Kr\"onig relations, we obtain an integral equation connecting DC current and noise that involves $\theta$. By specifying to thermal states so that noise is Poissonian, we find an analytical solution for the DC current via the Wiener-Hopf technique. It reveals that the time-braiding phase is determined by the scaling dimension~$\delta$. This questions the universality of $\theta$ that can reflect the microscopic edge dynamics, in contrast to the topologically protected braiding phase in the space domain.

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