论文标题
Luttinger液体与欧姆类环境相连
A Luttinger Liquid coupled to Ohmic-class environments
论文作者
论文摘要
我们研究了欧姆类环境对一维相互作用系统的传导和相关性能的影响。有趣的是，我们揭示了颗粒间相互作用可以通过环境的噪声统计数据来设计。在系统中引入了散落的杂质，在这种嘈杂和现实的环境中，我们解决了Kane-Fisher的金属对量子量子相变。在扰动的重新归一化组方法中，我们表明欧姆环境保持相变完整，而亚和超级OHMIC环境将其修改为平滑的交叉，以取决于电线内相互作用强度的比例。当从亚欧姆到超级欧光环境噪声移动时，该系统仍会经历类似金属对绝缘体的过渡。我们通过探索有限的电线长度和温度对通过系统传输的影响来涵盖广泛的现实实验条件。
We investigate the impact of an Ohmic-class environment on the conduction and correlation properties of one-dimensional interacting systems. Interestingly, we reveal that inter-particle interactions can be engineered by the environment's noise statistics. Introducing a backscattering impurity to the system, we address Kane-Fisher's metal-to-insulator quantum phase transition in this noisy and realistic setting. Within a perturbative renormalization group approach, we show that the Ohmic environments keep the phase transition intact, while sub- and super-Ohmic environments, modify it into a smooth crossover at a scale that depends on the interaction strength within the wire. The system still undergoes a metal-to-insulator-like transition when moving from sub-Ohmic to super-Ohmic environment noise. We cover a broad range of realistic experimental conditions, by exploring the impact of a finite wire length and temperature on transport through the system.
