Some experimental tests of Tomonaga-Luttinger liquids
Thierry Giamarchi

TL;DR
This paper reviews experimental tests of Tomonaga-Luttinger liquid theory in one-dimensional systems, highlighting recent experiments in spin systems that quantitatively confirm TLL predictions.
Contribution
It provides an overview of experimental validations of TLL physics, especially recent spin system experiments offering precise tests.
Findings
Quantitative agreement between experiments and TLL predictions.
Successful probing of TLL properties in spin systems.
Confirmation of TLL universality in one-dimensional materials.
Abstract
The Tomonaga-Luttinger-Liquid (TLL) has been the cornerstone of our understanding of the properties of one dimensional systems. This universal set of properties plays in one dimension, the same role than Fermi liquid plays for the higher dimensional metals. I will give in these notes an overview of some of the experimental tests that were made to probe such TLL physics. In particular I will detail some of the recent experiments that were made in spin systems and which provided remarkable quantitative tests of the TLL physics.
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