Kornilovitch PE
Blackett Laboratory, Imperial College, Prince Consort Road, London SW7 2BZ, United Kingdom.
Phys Rev Lett. 2000 Feb 14;84(7):1551-4. doi: 10.1103/PhysRevLett.84.1551.
A path-integral representation for the Jahn-Teller polaron (JTP) is constructed. It leads to a perturbation series that can be summed exactly by the diagrammatic quantum Monte Carlo technique. The ground-state energy, effective mass, spectrum, and density of states of the three-dimensional JTP are calculated with no systematic errors. The band structure of JTP is found to be similar to that of the Holstein polaron. The mass of JTP increases exponentially with the coupling constant. At small phonon frequencies, the spectrum of JTP is flat at large momenta, which leads to a strongly distorted density of states with a massive peak at the top of the band.
构建了一种针对 Jahn-Teller 极化子(JTP)的路径积分表示。它导出了一个微扰级数,该级数可通过图解量子蒙特卡罗技术精确求和。计算了三维 JTP 的基态能量、有效质量、能谱和态密度,且无系统误差。发现 JTP 的能带结构与 Holstein 极化子的相似。JTP 的质量随耦合常数呈指数增加。在小声子频率下,JTP 的能谱在大动量处是平坦的,这导致态密度严重扭曲,在能带顶部有一个大的峰值。