Has Luttinger liquid been experimentally confirmed?

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Discussion Overview

The discussion revolves around the experimental confirmation of Luttinger liquids, exploring the nature of evidence required to establish such proof and the limitations of current theories and experiments. It touches on theoretical implications, experimental observations, and ongoing research in the field.

Discussion Character

  • Debate/contested
  • Experimental/applied

Main Points Raised

  • Some participants express skepticism about the existence of definite experimental proof for Luttinger liquids.
  • Others suggest that while Luttinger liquid theory is effective in certain contexts, such as carbon nanotubes and fractional quantum Hall systems, it is a linearized theory that may not apply universally, particularly in nonlinear regimes.
  • A participant references a recent review on the experimental status of Luttinger liquids, indicating that it covers various tests and provides additional references, suggesting ongoing research and exploration in the area.
  • There is a question raised about the definition of "definite proof" in the context of physics, highlighting the subjective nature of evidence in scientific inquiry.

Areas of Agreement / Disagreement

Participants generally do not reach a consensus on what constitutes definite proof for Luttinger liquids, and multiple competing views regarding the adequacy of current experimental evidence remain present.

Contextual Notes

The discussion reflects limitations in defining proof within the context of theoretical models and experimental validation, as well as the dependence on specific conditions and definitions in physics.

wdlang
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it seems that there is no definite proof in experiment ?
 
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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.
 
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). )
 
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.
 

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