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  • Letter
  • Open Access

Luttinger liquid coupled to Ohmic-class environments

Andisheh Khedri1, Antonio Štrkalj1, Alessio Chiocchetta2, and Oded Zilberberg1

  • 1Institute for Theoretical Physics, ETH Zurich, CH-8093 Zurich, Switzerland
  • 2Institute for Theoretical Physics, University of Cologne, D-50937 Cologne, Germany

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Phys. Rev. Research 3, L032013 – Published 9 July, 2021

DOI: https://doi.org/10.1103/PhysRevResearch.3.L032013

Abstract

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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Phys. Rev. Research 3, L032013– Published 9 July, 2021
  • Received 14 December 2020
  • Revised 23 April 2021
  • Accepted 17 May 2021
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