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- W4308995005 abstract "The low-energy spectrum of a zigzag graphene ribbon contains two gapless bands with highly nonlinear dispersion, $ensuremath{epsilon}(k)={ifmmodepmelsetextpmfi{}|ensuremath{pi}ensuremath{-}k|}^{W}$, where $W$ is the width of the ribbon. The corresponding states are located at the two opposite zigzag edges. Their presence reflects the fact that the clean ribbon is a quasi-one-dimensional system naturally fine-tuned to the topological multicritical point. This quantum critical point separates a topologically trivial phase from the topological one with the index $W$. Here we investigate the influence of the (chiral) symmetry-preserving disorder on such a multicritical point. We show that the system harbors delocalized states with the localization length diverging at zero energy in a manner consistent with the $W=1$ critical point. The same is true regarding the density of states (DOS), which exhibits the universal Dyson singularity, despite the clean DOS being substantially dependent on $W$. On the other hand, the zero-energy localization length critical exponent, associated with the lattice staggering, is not universal and depends on the topological index $W$." @default.
- W4308995005 created "2022-11-20" @default.
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- W4308995005 date "2022-11-14" @default.
- W4308995005 modified "2023-10-17" @default.
- W4308995005 title "Disordered graphene ribbons as topological multicritical systems" @default.
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- W4308995005 doi "https://doi.org/10.1103/physrevb.106.184206" @default.
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