Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 49 min ago
PreprintCC BY 4.0arXiv

Charge-monitored Luttinger liquid

  • Victor Gurarie
  • Leo Radzihovsky
Open at sourcePDFDOICite

Abstract

We discuss phases of interacting fermionic Luttinger liquids without particle number conservation, such as those in proximity to a superconductor, subjected to weak continuous measurements of their particle density, in the regime where the bosonization approach is applicable. We show that the phases of these systems are controlled by the competition between measurements, which favor the area-law phase and particle tunneling in and out of the Luttinger liquid, which favors the volume-law phase. The volume-law phase in this system is always charge fuzzy. We show that within this framework, the phase boundary between the two phases is given by a universal dependence of the Luttinger parameter on the measurement rate. This behavior can be contrasted with the non-universal phase boundaries in more generic highly excited one dimensional systems whose behavior is no longer captured by the Luttinger liquid framework.

Related

  1. Magnetic-Field-Induced Tomonaga-Luttinger Liquid and Bose-Einstein Condensate Phases in an Organic S = 1 Haldane Chain
    Ivan Jakovac, Mihael Grbić, Maxime Dupont +8
    Physical Review LettersPeer-reviewedLicence not statedFull textCondensed matterHAL
  2. Spectroscopic evidence of Luttinger liquid behavior in a single-layer nickelate
    Yinqi Hu, Yidian Li, Xian Du +19
    Physical Review XPeer-reviewedCC BY 4.0Condensed matterCrossref
  3. Interacting Tomonaga-Lüttinger liquid with impurity for interaction constant K = 1/2: Thermopower investigation, entropy variation and heat capacity densities associated with thermoelectric particle transport
    Abdellah Touati, Redoune Zamoum, Farhi Houssam Eddine
    arXivPreprintCC BY 4.0Full textCondensed matterarXiv
  4. Luttinger Liquid Behavior in a Single-Layer Nickelate La1.4Sr0.6NiO4
    Yinqi Hu, Yidian Li, Xian Du +19
    arXivPreprintCC BY 4.0Full textCondensed matterarXiv
  5. Phase stability, charge ordering, and charge-liquid formation in the Falicov-Kimball model on triangular and kagome lattices
    Ammar Nejati, Marvin Lenk
    arXivPreprintCC BY 4.0Full textCondensed matterarXiv

Cite

BibTeXRIS
BibTeX
@misc{gurarie2026chargemonitored,
  title = {{Charge-monitored Luttinger liquid}},
  author = {Victor Gurarie and Leo Radzihovsky},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30271},
  eprint = {2610.30271},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30271},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Charge-monitored Luttinger liquid
AU  - Victor Gurarie
AU  - Leo Radzihovsky
PY  - 2026
DA  - 2026/10/21
PB  - arXiv
DO  - 10.48550/arxiv.2610.30271
UR  - https://arxiv.org/abs/2610.30271
AB  - We discuss phases of interacting fermionic Luttinger liquids without particle number conservation, such as those in proximity to a superconductor, subjected to weak continuous measurements of their particle density, in the regime where the bosonization approach is applicable. We show that the phases of these systems are controlled by the competition between measurements, which favor the area-law phase and particle tunneling in and out of the Luttinger liquid, which favors the volume-law phase. The volume-law phase in this system is always charge fuzzy. We show that within this framework, the phase boundary between the two phases is given by a universal dependence of the Luttinger parameter on the measurement rate. This behavior can be contrasted with the non-universal phase boundaries in more generic highly excited one dimensional systems whose behavior is no longer captured by the Luttinger liquid framework.
ER  -