高温下Holstein模型中的无扩散和分形几何
Absence of diffusion and fractal geometry in the Holstein model at high temperature
摘要：
我们研究了在高温下，Holstein模型中电子与无色散光学声子耦合的动力学。传统上认为动力学是扩散的，因为电子被光学声子反复散射。然而，在半经典近似中，运动不是扩散的。在一维空间中，电子以恒定的方向运动，不会转向。在二维空间中，电子遵循并继续沿着分形轨迹运动。这些非标准动力学的各个方面都保留在更精确的计算中，包括电子和声子动力学的全量子计算。
英文摘要：
We investigate the dynamics of an electron coupled to dispersionless optical phonons in the Holstein model, at high temperatures. The dynamics is conventionally believed to be diffusive, as the electron is repeatedly scattered by optical phonons. In a semiclassical approximation, however, the motion is not diffusive. In one dimension, the electron moves in a constant direction and does not turn around. In two dimensions, the electron follows and then continues to retrace a fractal trajectory. Aspects of these nonstandard dynamics are retained in more accurate calculations, including a fully quantum calculation of the electron and phonon dynamics.
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