Two-fold symmetry flattens Dirac cone of surface state at W(110)

Abstract

The $C_{2v}$ symmetry of the W(110) surface influences strongly the spin-polarized Dirac-cone-like surface state within a spin-orbit-induced symmetry gap. We present a detailed angle-resolved photoemission study with $s$- and $p$-polarized light along three different symmetry lines. The Dirac-cone-like feature appears along $\bar{\hat{I}}“\bar{H}$ and $\bar{\hat{I}}“\bar{S}$, while it is strongly deformed along $\bar{\hat{I}}“\bar{N}$. A two-fold $\hat{I}{\pounds }_3$ symmetry of the $d$-type surface state is identified from photoemission experiments using linear polarized light. Our results are well described by model calculations based on an effective Hamiltonian with $C_{2v}$ symmetry including Rashba parameters up to third order. The flattened Dirac cone of the surface state is caused by hybridization with bulk continuum states of $\hat{I}{\pounds }_1$ and $\hat{I}{\pounds }_2$ symmetry. The spin texture of this state obtained from the model calculations shows a quasi-one dimensional behavior. This finding opens a new avenue in the study of $d$-electron-based persistent spin helix systems and/or weak topological insulators.

5 pages, 4 figures