# Majorana edge reconstruction resolves the ν = 5/2 thermal Hall puzzle, study shows

- Published: 2026-11-06 18:02 UTC
- Section: Science › Physics
- Tags: Majorana edge reconstruction, quantum Hall effect 5/2, thermal Hall conductance, PH-Pfaffian state, AntiPfaffian, density matrix renormalization group
- URL: https://realtech.media/news/rt-6931d83b9dad434d5aee18b0_majorana_edge_reconstruction/

**A theoretical model explains why fractional quantum Hall state transport matches PH-Pfaffian observations without fine-tuning.**

![Majorana edge reconstruction resolves the ν = 5/2 thermal Hall puzzle, study shows](https://sgzwpqqelzmajkcubgkl.supabase.co/storage/v1/object/public/rt-media/2026/11/e8caf0cb0b013315.jpg)
*Seaborg, Wikimedia Commons, CC BY-SA 3.0*

Physicists have proposed a theoretical mechanism to reconcile experimental thermal transport observations with numerical models of the fractional quantum Hall effect at filling factor ν = 5/2, according to Proceedings of the National Academy of Sciences [1]. Thermal Hall conductance κ at this plateau is quantized in half-integer multiples of κ 0 = π 2 k B 2 T / 3 h, signaling neutral Majorana edge modes associated with bulk non-Abelian anyons [1].

Previous experiments identified a half-integer value corresponding to the PH-Pfaffian topological state [1]. Numerical calculations, however, consistently favor either the Pfaffian or Anti-Pfaffian configurations, creating a persistent theoretical discrepancy [1]. Previous attempts to bridge this gap either required precise parameter fine-tuning or were contradicted by subsequent measurements.

To resolve the contradiction, the researchers evaluated physically realistic edges using density-matrix renormalization group simulations combined with analytic calculations of the edge structure [1]. Their findings demonstrate that edge reconstruction confined strictly to the neutral Majorana sector screens the underlying bulk state [1]. As a result, a bulk Pfaffian or Anti-Pfaffian system generates transport signatures identical to those of a PH-Pfaffian, providing a natural mechanism consistent with experimental data [1].

## Sources

1. [Proceedings of the National Academy of Sciences](https://doi.org/10.1073/pnas.2608514123)

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Source: RealTech, realtech.media — https://realtech.media/news/rt-6931d83b9dad434d5aee18b0_majorana_edge_reconstruction/