SmB₆ in-gap states encoded inside the hybridization

In this article we investigate the effects of short-range anti-ferromagnetic correlations on
the gap opening of topological Kondo insulators. We add a Heisenberg term to the periodic
Anderson model at the limit of strong correlations. This new model [1] is adequate
for studying the topological Kondo insulator SmB₆.

We solve the problem on a two dimensional square lattice considering the Γ₈ <span style="font-size:10.8333px">(1)</span>
symmetry group representation that already encoded the spin-orbit coupling of
the J=5/2 multiplet structure of the Samarium ions orbitals. We investigate the role
of the hybridization on the generation of in-gap states inside the topological gap. We also
discuss the effects of those in-gap states over the band structure, the density
of states, the differential conductance and the optical conductivity, comparing them
with recent Arpes experimental results [2,3,4].

references:
1. E. Ramos, et.al. J. Phys.: Condens. Matter, {\bf 29} 345601 (2017).
2. L. Jiao et. al. NATURE COMMUNICATIONS, 7:13762 (2016).
3. M. Neupane et. al. NATURE COMMUNICATIONS 4:2991 (2016).
4. P. Hlawenka et. al. NATURE COMMUNICATIONS, 9:517 (2018).