论文标题
复杂晶体材料中量子混沌的热化和可能的特征
Thermalization and Possible Signatures of Quantum Chaos in Complex Crystalline Materials
论文作者
论文摘要
对复杂绝缘体以及在相似的复杂晶体结构中托管的强相关的电子系统上的热扩散数据的分析表明，量子混沌是这些系统中热层化过程的良好描述，尤其是在高温方向上，在许多声子条件下，许多声子带及其相互作用占热传输的主导。在这里，我们观察到，对于这些系统，扩散热传输由通用的Planckian时间尺度$τ\ sim \ hbar/k_bt $和独特的速度$ v_e $控制。具体来说，对于复杂的绝缘子而言，$ v_e \ about v_ {ph} $，以及$ v_ {ph} \ lysesim v_e \ ll v_ {f} $在有密切相关的巡回电子（$ v_ {ph} $和$ v_f $的情况下）的情况下，是phonons and $ v_f $是Phonons和Electon and Electon and Electon and Electon and Electon and Electon Velocities）。对于复杂的相关电子系统，我们进一步表明，电荷扩散率在达到普朗克弛豫结合的同时，在很大程度上由电子的费米速度支配，因此表明只有描述了混沌扩散性的热（能量）扩散率。
Analyses of thermal diffusivity data on complex insulators and on strongly correlated electron systems hosted in similar complex crystal structures suggest that quantum chaos is a good description for thermalization processes in these systems, particularly in the high temperature regime where the many phonon bands and their interactions dominate the thermal transport. Here we observe that for these systems diffusive thermal transport is controlled by a universal Planckian time scale $τ\sim \hbar/k_BT$, and a unique velocity $v_E$. Specifically, $v_E \approx v_{ph} $ for complex insulators, and $v_{ph} \lesssim v_E \ll v_{F}$ in the presence of strongly correlated itinerant electrons ($v_{ph}$ and $v_F$ are the phonons and electrons velocities respectively). For the complex correlated electron systems we further show that charge diffusivity, while also reaching the Planckian relaxation bound, is largely dominated by the Fermi velocity of the electrons, hence suggesting that it is only the thermal (energy) diffusivity that describes chaos diffusivity.
