论文标题

带电的sachdev-ye-kitaev型号中的量子热传输:热电库仑封锁

Quantum thermal transport in the charged Sachdev-Ye-Kitaev model: Thermoelectric Coulomb blockade

论文作者

Pavlov, Andrei I., Kiselev, Mikhail N.

论文摘要

我们提出了一种用于量子热电和热传输的微观理论,该理论是Sachdev-Ye-Kitaev(SYK)模型的Schwarzian制度中的微观理论。作为纳米结构中SYK模型的充电费米昂实现,我们假设基于通过弱隧道屏障连接到电荷储层的量子点的设置。我们分析了Seebeck和Peltier系数至关重要的粒子孔对称性破坏效应。我们表明,在低温下的量子电荷和热传输是由弹性和非弹性过程之间的相互作用定义的,因此非弹性过程在与充电能量相比较小的温度下为传输系数提供了主要贡献。我们证明,电气和热电导都遵守温度行为的功率定律,而热电,Seebeck和Peltier系数被指数抑制。这代表了仅选择性抑制非辅助转运系数。我们在存在强库仑阻塞的情况下讨论开尔文公式的有效性。

We present a microscopic theory for quantum thermoelectric and heat transport in the Schwarzian regime of the Sachdev-Ye-Kitaev (SYK) model. As a charged fermion realization of the SYK model in nanostructures we assume a setup based on a quantum dot connected to the charge reservoirs through weak tunnel barriers. We analyze particle-hole symmetry breaking effects crucial for both Seebeck and Peltier coefficients. We show that the quantum charge and heat transport at low temperatures are defined by the interplay between elastic and inelastic processes such that the inelastic processes provide a leading contribution to the transport coefficients at the temperatures that are smaller compared to the charging energy. We demonstrate that both electric and thermal conductance obey a power law in temperature behavior, while thermoelectric, Seebeck, and Peltier coefficients are exponentially suppressed. This represents selective suppression of only nondiagonal transport coefficients. We discuss the validity of the Kelvin formula in the presence of a strong Coulomb blockade.

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