Work

Information-theoretic analysis of dirac states in disclinated graphene quantum rings

Year: 2026

Type: article

Abstract: In this paper, we study Dirac fermions confined in a graphene quantum ring with wedge disclinations under an external magnetic flux. The topological defect is modeled through a conical geometry, inducing effective gauge contributions in the angular sector of the Dirac Hamiltonian. In this case, analytical expressions for the energy spectrum are obtained under infinite-mass boundary conditions, revealing a nontrivial interplay between curvature, magnetic flux, and angular momentum quantization. Within an information-theoretic framework, we compute the Shannon entropies in position and momentum spaces. Also, the results show that both magnetic flux and topological charge significantly affect localization properties, redistributing uncertainty between conjugate spaces while preserving the entropic uncertainty relation. In this context, our results demonstrate that geometric defects act as tunable mechanisms for controlling spectral and informational properties in graphene-based mesoscopic systems.

Source: Applied Physics A

DOI: 10.1007/s00339-026-09717-6

Authors: Allan R. P. Moreira, Jose C. Nascimento, Daniel M. Neves, Rachid El Aitouni, Mona Abdi

Institutions: Universidade Federal do Ceará, Secretaria da Educação do Estado do Ceará, Centro de Tecnologia da Informação Renato Archer, Chouaib Doukkali University, University of Kurdistan

Language: English

Topic: Graphene research and applications

Subfield: Materials Chemistry

Field: Materials Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,790

Funder: Coordenação de Aperfeiçoamento de Pessoal de Nível Superior