ANISOTROPIC TIGHT-BINDING MODEL FOR LOCALIZATION
ANISOTROPIC TIGHT-BINDING MODEL FOR LOCALIZATION
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DOI：
10.1103/physrevb.40.2825
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发表时间：
1989-08-15
影响因子：
3.7
通讯作者：
GREST, GS
中科院分区：
文献类型：
--
作者：
LI, QM;SOUKOULIS, CM;GREST, GS
利用有限尺度方法研究了各向异性紧束缚模型，该模型是由一个无序紧束缚哈密顿量定义的，其在z方向上的转移能量矩阵元t不同于在x-y平面上的转移能量矩阵元.对于带中心E= 0，得到了迁移率边缘与各向异性强度t（0≤ t≤ 1）的关系。即使对于非常低的t值，也需要相当数量的无序来定位E= 0状态。这些结果被发现是在令人满意的协议与预测的势阱类比，加上相干势近似。
The anisotropic tight-binding model, which is defined by a disordered tight-binding Hamiltonian with a transfer-energy-matrix element in the z direction, t, different than the one in the x-y plane is studied using finite-size scaling methods. The dependence of the mobility edge on the strength of anisotropy t (0≤ t≤ 1) is obtained for the center of the band, E= 0. Even for very low-t values an appreciable amount of disorder is needed to localize the E= 0 state. These results are found to be in satisfactory agreement with the predictions of the potential-well analogy, coupled with the coherent-potential approximation.