Zero modes of tight-binding electrons on the honeycomb lattice
Zero modes of tight-binding electrons on the honeycomb lattice
复制标题
DOI：
10.1103/physrevb.74.033413
复制
发表时间：
2006-07-01
影响因子：
3.7
通讯作者：
Kohmoto, Mahito
中科院分区：
文献类型：
--
作者：
Hasegawa, Yasumasa;Konno, Rikio;Kohmoto, Mahito
研究了蜂窝晶格上的紧束缚电子，其中最近邻电子在三个方向上的跳跃分别为t（a），t（B）和t（c）.对于各向同性情况，即对于t（a）=t（B）=t（c），存在两个零模，其中在消失点处的能量色散与动量k成线性关系。当t（a）、t（B）和t（c）变化时，零模的位置在动量空间中移动。证明了当平行于t（B）/t（a）平行于-1平行于
Tight-binding electrons on the honeycomb lattice are studied where nearest-neighbor hoppings in the three directions are t(a), t(b), and t(c), respectively. For the isotropic case-namely, for t(a)=t(b)=t(c)-two zero modes exist where the energy dispersions at the vanishing points are linear in momentum k. Positions of zero modes move in the momentum space as t(a), t(b), and t(c) are varied. It is shown that zero modes exist if parallel to parallel to t(b)/t(a)parallel to-1 parallel to