ANALYSIS OF THE SPECTRUM OF A PARTICLE ON A TRIANGULAR LATTICE WITH TWO MAGNETIC FLUXES BY ALGEBRAIC AND NUMERICAL METHODS
ANALYSIS OF THE SPECTRUM OF A PARTICLE ON A TRIANGULAR LATTICE WITH TWO MAGNETIC FLUXES BY ALGEBRAIC AND NUMERICAL METHODS
复制标题
DOI：
10.1088/0305-4470/24/10/019
复制
发表时间：
1991-05
期刊：
影响因子：
--
通讯作者：
J. Bellissard;C. Kreft;R. Seiler
中科院分区：
文献类型：
--
作者：
J. Bellissard;C. Kreft;R. Seiler
本文考虑三角形晶格上的电子，它具有两个磁通量。使用C*-代数形式主义的扰动理论周围的合理通量。这种半经典类型的分析导致了能量本征值的Wilkinson-Rammal公式。数值计算结果表明，解析解具有较高的精度，可达二阶精度.带边缘附近的特征值的交叉显示解析以及数值。
The authors consider an electron on a triangular lattice with two magnetic fluxes. Using a C*-algebra formalism a perturbation theory around rational fluxes is developed. This semiclassical type of analysis leads to the Wilkinson-Rammal formula for the energy eigenvalues. The analytic result is verified numerically with high accuracy up to second order. Crossing of eigenvalues near band edges is shown analytically as well as numerically.