Has Luttinger liquid been experimentally confirmed?

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SUMMARY

The experimental confirmation of Luttinger liquids remains inconclusive, with no definitive proof established. The theory effectively describes low-energy excitations in systems such as carbon nanotubes and fractional quantum Hall edge states, but it is limited to linearized models. Ongoing research is exploring the nonlinear regime, as highlighted in a recent review by Giamarchi, which discusses various experimental tests and references. The review can be found on arXiv and is essential for understanding the current status of Luttinger liquid research.

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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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