【摘要】 本文应用格林函数方法讨论一维掺杂晶体的表面态。证明:断短键时存在零能表面态,而不论断短键或长键,均出现非零能局域表面态。当掺杂吸收于短键时,若U>（J₀-J₁）则两个束缚态出现于能隙内,若U<（J₀-J₁）则出现于带外,且在隙中心出现中间隙态。当掺杂吸收于长键,此时存在4个束缚态。更多还原

【Abstract】 The electron surface states caused by dopants in polyacetylence for dimerized one-dimension crystal are investigated by means of Green’s function. It is shown that, when the dopant sits near the double bond （single bond cut-off）, two bound states are in the gap for U>（J₀-J₁） or outside the bands for U<-（J₀-J₁）. Furthermore a mid-gap state emerges for U=2.948 eV. If the dopant is absorbed at the single bond （double bond cut-off）, two of the four formed bound states are in the gap for U>（J₀+J₁） with a midgap broken state emergeing in the gap center, while the other two are outside the bands for U<- （J₀+J₁）.更多还原