Filling factors and Braid group
Wellington Cruz
TL;DR
This paper explores the Braid group structure within a hierarchy scheme linking Hausdorff dimension and statistics of excitations in the Fractional Quantum Hall Effect, providing a mathematical framework for understanding these relationships.
Contribution
It introduces the Braid group structure to a hierarchy scheme connecting Hausdorff dimension and excitation statistics in FQHE, offering a new mathematical perspective.
Findings
Braid group structure is extracted for the hierarchy scheme.
The scheme relates Hausdorff dimension to excitation statistics.
Provides a mathematical framework for FQHE excitations.
Abstract
We extract the Braid group structure of a recently derived hierarchy scheme for the filling factors proposed by us which related the Hausdorff dimension, , to statistics, , of the collective excitations in the context of the Fractional Quantum Hall Effect (FQHE).
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Taxonomy
TopicsQuantum and electron transport phenomena · Algebraic structures and combinatorial models · Chemical and Physical Properties of Materials