https://doi.org/10.1140/epjp/s13360-023-04151-6
Regular Article
A Lorentz-violating low-energy model for the bilayer graphene
1
Departamento de Física Teórica, Universidade do Estado do Rio de, 20550-013, Janeiro, Rio de Janeiro, Brazil
2
Departamento de Física, Universidade Federal Rural do Rio de Janeiro, BR 465-07, 23890-971, Seropédica, Rio de Janeiro, Brazil
Received:
8
March
2023
Accepted:
1
June
2023
Published online:
19
June
2023
In this work, we propose a model with Lorentz symmetry violation which describes the electronic low energy limit of the AA-bilayer graphene (BLG) system. The AA-type bilayer is known to preserve the linear dispersion relation of the graphene layer in the low energy limit. The theoretical model shows that in the BLG system, a time-like vector can be associated with the layer separation and contributes to the energy eigenstates. Based on these properties, we can describe in a 
-dimensional space-time the fermionic quasi-particles that emerge in the low-energy limit with the introduction of a Lorentz-violating parameter, in analogy with the 
-dimensional Standard Model Extension. Moreover, we study the consequences of the coupling of these fermionic quasi-particles with the electromagnetic field, and we show via effective action that the low-energy photon acquires a massive spectrum. Finally, using the hydrodynamic approach in the collisionless limit, one finds that the LSV generates a new kind of anomalous thermal current to the vortexes of the system via coupling of the LSV vector.Kindly check and confirm the postbox is correctly identified for affiliation 1.The affiliations are correct.Please confirm the corresponding author is correctly identified.The correspondent author is correct.
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