We perform an analytical and numerical study of a superconducting instability in quasi-one-dimensional (quasi-1D) disordered systems. Modeling them as an array of Luttinger liquids with Josephson-type interchain coupling, we employed renormalization-group analysis with an extensive search for parameters that support superconductivity enhancement. We have found that this phenomenon is possible in the parameters range that support a latent disorder-driven phase transition between charge- and spin-density-wave phases. Our results may explain the experimental observation of disorder-enhanced superconductivity.
Bibliographical note©2021. Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.
Funding: This work was supported by the Leverhulme Trust Grants No. RPG-2016-044 (IY) and No. RPG-2019-317 (AL, IY), and by MOST/MESU Grant No. 3-16430 (VK).
- Charge density waves
- Impurities in superconductors
- Phase transitions
- Spin wave density
- Superconducting phase transition