Work

Fractional Hall Conductance of Laughlin States from a Topological Index

Year: 2026

Type: preprint

Abstract: We provide a rigorous Laughlin-pump argument that establishes the fractional quantization of the Hall conductance directly from the Laughlin state as a topological index. Our proof uses a recently defined index of a pair of pure states together with an infinite matrix product state analysis that is rigorous on a sufficiently thin cylinder. By virtue of the connection to an index, our result implies, in particular, that Laughlin states are representatives of topologically stable fractional quantum Hall phases.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2608.27767

Authors: Bachmann, Sven, Schraven, Severin, Shapiro, Jacob, Warzel, Simone

Institutions: University of British Columbia, Technical University of Munich, Princeton University

Language: English

Topic: Topological Materials and Phenomena

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204805255

Cites: 3

Cited by: 1

Related to: 10