Büttiker探针作用下准周期晶格系统的量子输运
Quantum transport in quasi-periodic lattice systems in presence of Büttiker probes
摘要：
准周期晶格系统提供不同的输运性质。在这项工作中，我们研究了环境诱导的准周期系统，即一维Aubry-André-Harper（AAH）格链及其广义版本（GAAH）的输运性质的影响，考虑Büttiker探针方法。我们首先考虑电压探针的情况下，研究电导性质的线性响应制度。在零温度下，对于具有幂律标度的小探针耦合强度$γ$，我们观察到位于原始系统能带内部和外部的所有非传输区域的电导增强，其中$γ^4$。然而，对于大的探针耦合强度，在所有费米能量下的电导是相同的，并且随着$1/γ^4$的标度按幂律衰减。这种特殊的缩放甚至在有限温度极限下也存在。有趣的是，这个缩放结果是不同于最近预测的本地Lindblad主方程的方法。运输最终成为扩散的所有能量范围内，并在所有制度的原始模型足够强的耦合与探针。我们进一步扩展我们的研究，并考虑电压-温度探针来分析的热电性能的链的品质因数。我们还证明了两个最近获得的热电效率的界限，比种子卡诺约束，并表示相同的Onsager的传输系数的有效性。
英文摘要：
Quasi-periodic lattice systems offer diverse transport properties. In this work, we investigate the environment induced effects on transport properties for quasi-periodic systems, namely the one-dimensional Aubry-André-Harper (AAH) lattice chain and its generalized version (GAAH) by considering the Büttiker probe approach. We first consider voltage probe situation and study the electrical conductance properties in the linear response regime. At zero temperature, we observe enhancement in conductance at all the no-transport regimes, located both inside and outside of the band of the original system, for small probe coupling strength $γ$ with a power-law scaling $γ^4$. Whereas, for large probe coupling strengths, the conductance at all Fermi energies is the same and decays as a power-law with scaling $1/γ^4$. This particular scaling survives even in the finite-temperature limit. Interestingly, this scaling result is different from the one recently predicted following the local Lindblad master equation approach. The transport eventually becomes diffusive for all energy ranges and in all regimes of the original model for a sufficiently strong coupling with the probes. We further extend our study and consider voltage-temperature probes to analyze the thermoelectric performance of the chain in terms of the figure of merit. We also demonstrate the validity of two recently obtained bounds on thermoelectric efficiency that are tighter than the seminal Carnot bound and express the same in terms of the Onsager's transport coefficients.
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。
