Quantum chaos associated with an emergent ergosurface in the transition layer between type-I and type-II Weyl semimetals
Quantum chaos associated with an emergent ergosurface in the transition layer between type-I and type-II Weyl semimetals
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与 I 型和 II 型韦尔半金属之间的过渡层中出现的机能表面相关的量子混沌
DOI：
10.1103/physrevb.101.035130
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发表时间：
2020
影响因子：
3.7
通讯作者：
Yue Yu
中科院分区：
文献类型：
--
作者：
Xi Luo;Yu-Ge Chen;Fei-Ye Li;Bin Chen;Yue Yu
我们提出了紧急ergosurfaces（ES）之间的过渡层类型-I和类型-II外尔半金属（WSMs）。当切向速度${v}_{\ensuremath{\parallel}}$较小时，由声事件视界处的表面引力定义的霍金温度与ES一致，并处于可测区间。在类型II WSM侧，即，在ES内部，当${v}_{\ensuremath{\parallel}}$较大时，准粒子的运动在临界面之后可能是混沌的，因为它们由I型和II型Weyl节点之间的失配引起的有效反振子势控制。在相关的格模型中，我们计算了非时间排序相关器（OTOCs）。我们发现，在高温下，OTOC是快速置乱的量子李雅普诺夫指数和置乱饱和后的Escherfest时间。这证实了量子混沌行为。
We present emergent ergosurfaces (ES) in a transition layer between type-I and type-II Weyl semimetals (WSMs). The Hawking temperature defined by the surface gravity at the acoustic event horizon which coincides with the ES when the tangent velocity ${v}_{\ensuremath{\parallel}}$ is small is in a measurable interval. On the type-II WSM side, i.e., inside the ES when ${v}_{\ensuremath{\parallel}}$ is large, the motion of the quasiparticles may be chaotic after a critical surface as they are governed by an effective inverted oscillator potential induced by the mismatch between the type-I and type-II Weyl nodes. In a relevant lattice model, we calculate out-of-time-ordered correlators (OTOCs). We find that the OTOCs are fast scrambling with a quantum Lyapunov exponent in high temperature and the scrambling is saturated after the Ehrenfest time. This confirms the quantum chaotic behavior.