Luttinger liquid coupled to Ohmic-class environments
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We investigate the impact of an Ohmic-class environment on the conduction and correlation properties of one-dimensional interacting systems. Interestingly, we reveal that interparticle 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.
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KHEDRI, Andisheh, Antonio Å TRKALJ, Alessio CHIOCCHETTA, Oded ZILBERBERG, 2021. Luttinger liquid coupled to Ohmic-class environments. In: Physical Review Research. American Physical Society. 2021, 3(3), L032013. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.3.L032013BibTex
@article{Khedri2021Lutti-55007, year={2021}, doi={10.1103/PhysRevResearch.3.L032013}, title={Luttinger liquid coupled to Ohmic-class environments}, number={3}, volume={3}, journal={Physical Review Research}, author={Khedri, Andisheh and Å trkalj, Antonio and Chiocchetta, Alessio and Zilberberg, Oded}, note={Article Number: L032013} }
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