Abstract
Lasing behavior of optically active planar topological Weyl semimetal (TWS) is investigated in view of the Kerr and Faraday rotations. Robust topological character of TWS is revealed by the presence of Weyl nodes and relevant surface conductivities. We focus our attention on the surfaces where no Fermi arcs are formed, and thus Maxwell equations contain topological terms. We explicitly demonstrate that two distinct lasing modes arise because of the presence of effective refractive indices which lead to the birefringence phenomena. Transfer matrix is constructed in such a way that reflection and transmission amplitudes involve 2 × 2 matrix-valued components describing the bimodal character of the TWS laser. We provide associated parameters of the topological laser system yielding the optimal impacts. We reveal that gain values corresponding to the lasing threshold display a quantized behavior, which occurs due to topological character of the system. Our proposal is supported by the corresponding graphical demonstrations. Our observations and predictions suggest a concrete way of forming TWS laser and coherent perfect absorber; and are awaited to be confirmed by an experimental realization based on our computations.
Highlights
Introducing topological ideas into the material science has led to the emergence of a new and impressive field of physics, topological materials[1,2]
We reveal basics of constructing a topological Weyl semimetal (TWS) laser by means of the transfer matrix approach
We employ the known features of TWS such that presence of the Weyl nodes gives rise to Fermi arcs configurations on relevant surfaces leading to magneto-optical effects
Summary
Lasing behavior of optically active planar topological Weyl semimetal (TWS) is investigated in view of the Kerr and Faraday rotations. Numerous active studies are witnessed in this field extending to various intriguing directions, which help various aspects of non-Hermitian quantum mechanics to be understood in view of topological perspective In this respect, recent study of constructing a theoretical modeling of topological insulator lasers and their accompanying experimental realization attracted attention to this field, which has served to alter current understanding of the relation between disorder and lasing, and has opened exciting possibilities at the interface of topological physics and laser science, such as topologically protected transport in systems with gain[5,6]. Once electromagnetic waves are incident on a surface which does not contain a Fermi arc, polarization directions of the reflected and transmitted waves change due to the Kerr and Faraday rotations on the surfaces This leads to the modified Maxwell equations involving topological terms in the source parts. Results guide possible experimental studies in this direction for all proposed TWS slab materials of practical concern
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