Identifying the topological order of quantized half-filled Landau levels through their daughter states
Physical review. B./Physical review. B2024Vol. 110(24)
Citations Over TimeTop 10% of 2024 papers
Abstract
Identifying the topological order of potentially non-Abelian half-filled quantum Hall states is notoriously difficult. While ``daughter states'' have been proposed as a signature, existing calculations were incomplete. This work provides a comprehensive framework based on hierarchical construction and flux attachment, predicting daughter states for all candidate parent states. Observing daughter states on both sides of half-filling enables the identification of the parent's topological order. Applied to experiments, this reveals a Pfaffian state in wide-well GaAs and a Pfaffian/anti-Pfaffian sequence in graphene, a contrast to PH-Pfaffian in narrow-well GaAs.
Related Papers
- → Prim�rzerlegung in Steinschen Algebren(1964)32 cited
- → Neurofibromatosis 1 Diagnosed in Mother Only after a Follow-up of Her Daughter(2019)4 cited
- Analysis of Psychological Adjustment Obstacles of the Only-daughter College Students(2012)
- → Case 6—What Is the Standard of Care for a Corpse?(2017)
- → ИСПОЛЬЗОВAНИЕ ПОТЕНЦИAЛA СОЦИAЛЬНЫХ ПAРТНЕРОВ В ПОДГОТОВКЕ БУДУЩИХ ПЕДAГОГОВ(2024)