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arXiv 2103.11929cond-mat.str-el
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中温玻色-费米近藤模型的量子混沌

Quantum Chaos of the Bose-Fermi Kondo model at the intermediate temperature

Xinloong Han, Zuodong Yu

摘要:

研究了在$N$大极限下,中温玻色-费米近藤模型中杂质自旋与传导电子和玻色浴相互作用的量子混沌.基于Bethe-Salpeter方程计算了非时序相关器,并提取了李雅普诺夫指数$λ_L$。计算结果表明,李雅普诺夫指数随着近藤耦合$J_K$的增加而单调增加,当$J_K$接近$MCK$点时,李雅普诺夫指数可达到$λ_L\sim T$的量级.此外,我们还证明了$λ_L$随着杂质和玻色子浴耦合$g$的增加而单调减小,这与一般的预期相反,即最混沌的性质发生在具有非费米液体性质的量子临界点。

英文摘要:

We study the quantum chaos in the Bose-Fermi Kondo model in which the impurity spin interacts with conduction electrons and a bosonic bath at the intermediate temperature in the large $N$ limit. The out-of-time-ordered correlator is calculated based on the Bethe-Salpeter equation and the Lyapunov exponent $λ_L$ is extracted. Our calculation shows that the Lyapunov exponent monotonically increases as the Kondo coupling $J_K$ increases, and it can reach an order of $λ_L\sim T$ as $J_K$ approaches the $MCK$ point. Furthermore, we also demonstrate that $λ_L$ decreases monotonously as the impurity and bosonic bath coupling $g$ increases, which is contrary to the general expectation that the most chaotic property occurs at the quantum critical point with the non-Fermi liquid nature.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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