Zero modes and geometric phase for 2D Weyl fermions on Lifshitz backgrounds

Europhysics Letters (EPL) 2026

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Authors: Gabriel Queiroz Garcia, Danilo C. Moreira, Everton Cavalcante, Claudio Furtado
DOI: 10.1209/0295-5075/ae44c7
Cited by: 0
References: 47

Abstract

Abstract Here we investigate analytical properties of Weyl fermions in (2+1)-dimensional Lifshitz spacetimes. In particular, we are interested in obtaining geometric phases and verifying the existence of well-behaved fermionic zero modes. Using the Dirac phase method, we show how geometric phases naturally arise from the coupling between the fermionic fields and the Lifshitz geometry. We also present exact solutions of the zero modes by rewriting the Weyl equation as a system of supersymmetric equations.

Fields of Study & Subjects

Black Holes and Theoretical Physics Noncommutative and Quantum Gravity Theories Topological Materials and Phenomena

Publication details

Journal / source
Europhysics Letters (EPL)
Volume
153
Issue
4
Pages
46001–46001
Publication date
1 February 2026
Language
EN