Hexagonally warped exceptional physics in multi-Weyl semimetals

TL;DR

This paper explores how non-Hermitian loss/gain induces an exceptional hexagonal warping effect in double Weyl semimetals, altering Fermi surface topology and creating tunable exceptional points with topological significance.

Contribution

It introduces a novel non-Hermitian warping mechanism in double Weyl semimetals, revealing new exceptional points and topological features influenced by driving fields.

Findings

Non-Hermitian loss/gain induces exceptional HW effects in DWSMs.

Four exceptional points are formed, with two degenerate, affected by symmetry and driving.

Topological invariants confirm the non-Hermitian topological nature of the contours.

Abstract

Hexagonal warping (HW) in three-dimensional topological insulators is, by now, well-known. We show that non-Hermitian (NH) loss/gain can generate an exceptional HW effect in double Weyl-semimetals (DWSM). This unique feature of DWSMs has distinctive effects on Fermi surface topology. Importantly, in the presence of such a $k^3$ spin orbit coupling mimicking term, the symmetry associated with the DWSMs is changed, leading to four exceptional points, among which two are degenerate. Introducing a driving field removes this degeneracy. The combined action of the NH warping and driving parameters leads to notable effects, including merging and tuning of exceptional points. We analyze the topological nature of the generated exceptional contours by evaluating several topological invariants, such as winding number, vorticity, and NH Berry curvature. We hope that our theoretical results would initiate possible experiments exploring NH HW effects.