Work

On a solution to the Dirac equation with a triangular potential well

Year: 2024

Type: article

Abstract: Chiral anomalies resulting from the breaking of classical symmetries at the quantum level are fundamental to quantum field theory and gaining ever-growing importance in the description of topological materials in condensed matter physics. Here we present analytical solutions of the Dirac equation for massless 3 + 1 fermions confined to an infinite stripe and placed into a background gauge field forming a triangular potential well across the width of the stripe. Such an effective 1 + 1 system hosts zero-energy modes resulting in the gauge field-dependent chiral anomaly structure. This problem has a direct relation to a half-bearded graphene nanoribbon placed into an in-plane external electric field and offers it an exact solution in terms of new special functions that are similar but not reducible to Airy functions.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.15034261

Authors: Payod, Renebeth, Saroka, Vasil

Institutions: University of the Philippines Los Baños, University of Rome Tor Vergata

Language: English

Topic: Topological Materials and Phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: European Commission

Award: G2883480369