Has Luttinger liquid been experimentally confirmed?

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In summary, the conversation discusses the lack of definite proof in experiments related to the Luttinger liquid theory and its limitations in dealing with higher energy excitations. The ongoing research on the nonlinear regime is mentioned, along with a recent review on the experimental status of the theory. The author also brings up the question of what constitutes as "definite proof" in physics.
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wdlang
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it seems that there is no definite proof in experiment ?
 
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  • #2
wdlang said:
it seems that there is no definite proof in experiment ?

What would you consider a definite proof? The Luttinger liquid does a good job for e.g. carbon nanotubes and edge states of fractional quantum Hall systems, but it is a linearised theory which can only deal with low energy excitations. As it is a limit, there will clearly be cases when it does not apply. There is ongoing research on the nonlinear regime.
 
  • #3
For your and others' future reference, this review on the experimental status of the Luttinger liquids was posted on arXiv yesterday: http://arxiv.org/abs/1308.2731

The review is relatively short, but Giamarchi (the author) covers more tests than I was aware of anyway, and provides references for far more. Very readable and illuminating.

(The actual journal reference is International Journal of Modern Physics B Vol. 26, No. 22 1244004 (2012). )
 
  • #4
wdlang said:
it seems that there is no definite proof in experiment ?

Have you tried to look? And what do you define as "definite proof", is if there is such a thing in physics?

Zz.
 

1. What is a Luttinger liquid?

A Luttinger liquid is a one-dimensional quantum system of interacting particles that exhibit collective behavior different from ordinary liquids. It is described by the Luttinger model, which takes into account the effects of interactions between particles.

2. How is the Luttinger liquid model useful in understanding real-world systems?

The Luttinger liquid model has been used to study a variety of physical systems, such as quantum wires and carbon nanotubes, which exhibit similar behavior to the ideal Luttinger liquid. It also provides a framework for understanding the properties of strongly correlated materials and has applications in fields such as quantum computing.

3. Has the existence of Luttinger liquid been confirmed experimentally?

Yes, the existence of Luttinger liquid has been confirmed experimentally through various techniques such as tunneling spectroscopy, optical absorption, and transport measurements. These experiments have shown that the behavior of one-dimensional systems is in agreement with the predictions of the Luttinger liquid model.

4. What are the challenges in experimentally confirming the Luttinger liquid model?

One of the main challenges is creating and controlling one-dimensional systems in a laboratory setting. These systems are highly sensitive to external influences, and it can be difficult to isolate them from their environment. Additionally, the effects of interactions between particles can be subtle and require sophisticated experimental techniques to detect.

5. How does the confirmation of Luttinger liquid impact our understanding of quantum systems?

The confirmation of Luttinger liquid provides further evidence for the validity of quantum mechanics in describing the behavior of particles at the nanoscale. It also expands our understanding of collective phenomena and the role of interactions in quantum systems. Additionally, it has practical implications in fields such as nanotechnology and condensed matter physics.

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