Band structure of a periodic quantum wire array
Band structure of a periodic quantum wire array
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周期性量子线阵列的能带结构
DOI：
10.1103/physrevb.66.085328
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发表时间：
2002
影响因子：
3.7
通讯作者：
T. Ando
中科院分区：
文献类型：
--
作者：
Yisong Zheng;T. Ando
研究了由界面波纹量子阱组成的量子线阵列的电子能谱。通过对哈密顿矩阵的数值对角化，对井宽周期性变化的实际结构进行了计算。然后建立了一维有效势模型，该模型可以在量子阱变薄时几乎准确地再现能谱。自洽计算表明，库仑势对能带结构的影响很小。在没有磁场的情况下，得到了子带结构、费米表面几何形状、态密度和回旋加速器有效质量。在高磁场中存在磁微带结构，但其宽度在目前实验可及的系统的费米能级附近小得可以忽略不计。
The electron energy spectrum of a quantum-wire array consisting of an interface-corrugated quantum well is studied. It is calculated for actual structures with periodic well-width variation by the numerical diagonaliza-tion of the Hamiltonian matrix. Then a one-dimensional effective-potential model is developed, which can reproduce the energy spectrum almost exactly even when the quantum well becomes very thin. A self-consistent calculation shows that the Coulomb potential has only a trivial influence on the band structure. In the absence of a magnetic field, the subband structure, Fermi surface geometry, density of states, and the cyclotron effective mass are obtained. In a high magnetic field a magnetic miniband structure is present but its width is negligibly small near the Fermi level in systems currently accessible experimentally.