拓扑有序的锯齿形纳米粒子：$e/2$分数边电荷、自旋-电荷分离和基态简并
Topologically ordered zigzag nanoribbon: $e/2$ fractional edge charge, spin-charge separation, and ground state degeneracy
摘要：
我们数值计算了具有显示$e/2$分数边缘电荷的中间带隙态的相互作用无序锯齿形石墨纳米带（ZGNR）的态密度（DOS）。计算的Hartree-Fock DOS是线性的临界无序强度的间隙消失。这意味着$I\propto V^2$的$I\mbox{-}V$曲线。因此，$I\mbox{-}V$曲线测量可以产生在相互作用的无序ZGNR中的分数电荷的证据。我们发现，即使是一个弱的无序势作为一个奇异的锯齿形边缘电子态的扰动，产生剧烈的变化，在能谱。自旋-电荷分离和分数电荷在边缘反铁磁性的重构中起着关键作用。我们的结果表明，相互作用无序ZGNR是一个拓扑有序的Mott-Anderson绝缘体。
英文摘要：
We numerically compute the density of states (DOS) of interacting disordered zigzag graphene nanoribbon (ZGNR) having midgap states showing $e/2$ fractional edge charges. The computed Hartree-Fock DOS is linear at the critical disorder strength where the gap vanishes. This implies an $I\mbox{-}V$ curve of $I\propto V^2$. Thus, $I\mbox{-}V$ curve measurement may yield evidence of fractional charges in interacting disordered ZGNR. We show that even a weak disorder potential acts as a singular perturbation on zigzag edge electronic states, producing drastic changes in the energy spectrum. Spin-charge separation and fractional charges play a key role in the reconstruction of edge antiferromagnetism. Our results show that an interacting disordered ZGNR is a topologically ordered Mott-Anderson insulator.
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