arXiv · 2605.23000
Surface States in Strain-Induced Nodal-Line Topological Semiconductors
Abstract
This work explores the topological phase diagram of inverted-band-gap semiconductors under strain and spin-orbit coupling. Using a minimalistic Luttinger Hamiltonian model, we follow the transitions between a 3D topological insulator, a Dirac semimetal, a nodal-line semimetal, and a Weyl semimetal. Analytical and exact solutions for surface states are derived for high-symmetry directions as well as in several limiting cases. We demonstrate the continuous evolution of these surface states across phase boundaries, providing a unified picture that synthesizes previous literature. Specifically, we detail the progression from a Dirac to a nodal-line and then to a Weyl semimetal as spin-orbit coupling originating from bulk inversion asymmetry is introduced. A hierarchy of energy scales is established, defining the criteria for realizing these phases. Finally, we reveal a non-analyticity in the surface-state dispersion at the projected nodal line, originating from distinct, terminating patches of surface states with unique spin textures in momentum space.
Explore related subjects
Keep this discovery
Explore connections, maps & timelines
Vitaly N. Golovach, Alexander Khaetskii. 2026-05-21. Surface States in Strain-Induced Nodal-Line Topological Semiconductors. https://arxiv.org/abs/2605.23000
Cite the original work for its findings. Save a collection to share your selection of sources.