Scaling for the discrete Mathieu equation
Scaling for the discrete Mathieu equation
复制标题
离散 Mathieu 方程的缩放
DOI：
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发表时间：
1990
期刊：
影响因子：
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通讯作者：
D. Thouless
中科院分区：
文献类型：
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作者：
D. Thouless
研究了离散Mathieu方程在局域态和扩展态过渡附近的临界区域中，对于有一个周期的晶格间隔调制的特殊情况，带总宽度的标度。给出了临界区带宽w的一般表达式。在临界点处，得到了pw的解析表达式，该表达式与数值计算结果的1 / 108一致。
The scaling of the total width of the band for the discrete Mathieu equation is studied in the critical region near the transition between localized and extended states, for the special case in which there is one period of the modulation forp lattice spacings. A general expression for the bandwidthW in the critical region is found. At the critical point an analytic expression forpW is found which agrees to one part in 108 with the result deduced from numerical work.