  The realization of the coexistence of various topologically nontrivial
surface states in one material is expected to lay a foundation for new electric
applications with selective robust spin current. Here we apply the
magnetoconductivity characteristic and angle-resolved photoemission
spectroscopy (ARPES) to visualize the surface-selected electronic features
evolution of quasi-one-dimensional material Bi4Br4. The transport measurements
indicate the quantum interference correction to conductivity possesses symbolic
spin rotational characteristic correlated to the value of Berry phase with the
effects of weak localization and weak antilocalization for (001) and (100)
surfaces, respectively. The ARPES spectra provide the experimental evidence for
quasi-one-dimensional massless Dirac surface state at the side (100) surface
and anisotropic massive Dirac surface state at the top (001) surface,
respectively, which is highly coincide with the angle-dependent scaling
behavior of magnetoconductivity. Our results reveal the facet dependent
topological phases in quasi-one-dimensional Bi4Br4, stimulating the further
investigations of this dual topology classes and the applications of the
feasible technologies of topological spintronics.
