Delocalization of topological surface states by diagonal disorder in nodal loop semimetals

Abstract

The effect of Anderson diagonal disorder on the topological surface (``drumhead'') states of a Weyl nodal loop semimetal is addressed. Since diagonal disorder breaks chiral symmetry, a winding number cannot be defined. Seen as a perturbation, the weak random potential mixes the clean exponentially localized drumhead states of the semimetal, thereby producing two effects: (i) the algebraic decay of the surface states into the bulk; (ii) a broadening of the low energy density of surface states of the open system due to degeneracy lifting. This behavior persists with increasing disorder, up to the bulk semimetal-to-metal transition at the critical disorder $W_c$. Above $W_c$, the surface states hybridize with bulk states and become extended into the bulk.

arXiv comment7 pages, 6 figures

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Cited by in corpus (3)

• Surface quantum critical phenomena in disordered Dirac semimetals
• Disorder-induced instability of a Weyl nodal loop semimetal towards a diffusive topological metal with protected multifractal surface states
• Surface magnon spectra of nodal loop semimetals