On valley asymmetry in a topological interaction for quasi-particles

de Gracia, G.B.; Pimentel, B.M.; da Rocha, R.

doi:10.1016/j.aop.2023.169545

On valley asymmetry in a topological interaction for quasi-particles

Nov 14, 2023

33 pages

Published in:

Annals Phys. 459 (2023) 169545

Published: Nov 14, 2023

e-Print:

2311.10073 [hep-th]

DOI:

10.1016/j.aop.2023.169545 (publication)

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Abstract: (Elsevier Inc.)

This paper is focused on investigating the effects of a statistical interaction for graphene-like systems, providing Haldane-like properties for topologically trivial lattices. The associated self-energy correction yields an effective next-nearest hopping, inducing the topological phase, whose specific solutions are scrutinized. In the case of an external magnetic field, it leads to a renormalized quasi-particle structure with generalized Landau levels and explicit valley asymmetry. A suitable tool for implementing such achievements is a judicious indefinite metric quantization, leading to advances in field theory foundations. Since the topological behavior is encoded in the radiative corrections, an unequivocal treatment using an integral representation is carefully developed. •Valley asymmetry signatures and topologically protected boundary solutions driven by radiative corrections.•Statistical interaction for quasi-particles and radiative corrections to Landau levels.•Quantum field theory tools applied in topological condensed matter.•Interaction-driven spatial separation between trivial and non-trivial topological valleys.

Note:

33 pages, 1 figure

Topological phase
Boundary state
Landau levels
phase: topological
quantization: indefinite metric
interaction: topological
magnetic field: external field
propagator: correction
quasiparticle
asymmetry

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