Non-Hermitian higher-Order Weyl semimetal with surface diabolic points

• DOI: 10.48550/arxiv.2212.07262
• Publication Date: 2022-01-01
• Authors: Subhajyoti Bid; Gaurab Kumar Dash; Manisha Thakurathi
• Keywords: Ansatz; Weyl semimetal

Higher-order topology in non-Hermitian (NH) systems has recently become one of the most promising and rapidly developing fields condensed matter physics. Many distinct phases that were not present Hermitian equivalents are shown these systems. In this work, we examine how higher-order Weyl semimetals impacted by NH perturbation. We identify a new type topological semimetal, i.e., semimetal (NHHOWS) with surface diabolic points. demonstrate such an NHHOWS, exceptional points inside bulk can be created annihilated, therefore allowing us to manipulate their number. At boundary, connected through unique states hinge states. For specific system parameters, NHHOWS behaves as Dirac phase linear dispersion or Luttinger quadratic dispersion, thus paving way for Dirac-Luttinger switching. Finally, employ biorthogonal technique reinstate standard boundary correspondence compute invariants. The obtained quantized Chern number quadruple moment topologically protect states, respectively.