Topological behavior of spectral singularities in topological Weyl semimetals.

In this study, we examine the topological character of spectral singularities by using transverse magnetic (TM) mode configuration in a Topological Weyl Semimetal (TWSM). TM mode configuration restrains the effect of Kerr/Faraday rotations and therefore does not allow an extra degree of freedom to occur. We find out that surface currents arise due to topological terms on the surface of TWSM slab where no Fermi arcs are localized.

Unitary structure of palindromes in DNA.

We investigate the quantum behavior encountered in palindromes within DNA structure. In particular, we reveal the unitary structure of usual palindromic sequences found in genomic DNAs of all living organisms, using the Schwinger's approach. We clearly demonstrate the role played by palindromic configurations with special emphasis on physical symmetries, in particular subsymmetries of unitary structure.

Lasing with Topological Weyl Semimetal.

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.