2024/03/10 by Marcelo Lapola, Lapola, Marcelo, Luiz Antônio Barreiro +1
Computer Science · Materials Science · Physics and Astronomy · #FOS: Physical sciences #Graphene research and applications #High Energy Physics - Lattice (hep-lat) #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Parallel Computing and Optimization Techniques #Quantum Physics (quant-ph) #Quantum and Classical Electrodynamics
paper · pdf · doi:10.48550/arxiv.2403.06283
openalex publication_date 2024/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine the analogue gravity model within the context of f(R,T) gravity applied to graphene. The derivation of the Lagrangian density in two dimensions (2D) is undertaken, accounting for the altered gravitational effects as characterized by the function f(R,T). The Lagrangian encompasses the quasiparticle field ψ(x), its adjoint ψ, the effective metric tensor gμν, and the gauge field Aν. The equations of motion are established through variational principles applied to the Lagrangian, resulting in modified Dirac equations. We discuss the interpretation of the additional terms in the equations of motion and their significance in capturing the modified gravitational dynamics in the graphene system. Our findings contribute to the understanding of analogue gravity models and their applications in condensed matter systems.