Luttinger liquid coupled to Ohmic-class environments

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2021
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Khedri, Andisheh
Štrkalj, Antonio
Chiocchetta, Alessio
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Physical Review Research. American Physical Society. 2021, 3(3), L032013. eISSN 2643-1564. Available under: doi: 10.1103/PhysRevResearch.3.L032013
Zusammenfassung

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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ISO 690KHEDRI, Andisheh, Antonio ŠTRKALJ, 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.L032013
BibTex
@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 Štrkalj, Antonio and Chiocchetta, Alessio and Zilberberg, Oded},
  note={Article Number: L032013}
}
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