We study the response of the interacting electron gas in one-dimension (1D) to a local external potential. In the low-frequency limit the power-law singularities are essentially modified by backscattering effects which, in the case of zero forward scattering, result in the universal critical exponent depending only on the Luttinger-liquid interactions. The results obtained may be used to describe singular responses of the 1D boson chains.

arXiv:cond-mat/9306040Physical review. B, Condensed matterJan 15, 199454 citations

Metallic non-Fermi-liquid fixed point in two and higher dimensions

Xiao-Gang Wen

Physical review. B, Condensed matterOct 1, 1990180 citations

Nature Physics

Interacting electrons in one dimension beyond the Luttinger-liquid limit

Gilad Barak, Hadar Steinberg, Loren N. Pfeiffer, K. W. West, L. I. Glazman, Felix von Oppen, Amir Yacoby

Published May 30, 2010• 99 citations

Publisher

DOI: 10.1038/nphys1678

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Xiao-Gang Wen

Quasi-one-dimensional electron systems in two and higher dimensions are studied. It is shown that the interchain electron hopping is renormalized to zero in the infrared limit if the intrachain repulsive interaction is strong enough. In this case the higher-dimensional electron system flows to metallic non-Fermi-liquid fixed points---a Luttinger liquid. Some experimental consequences, in particular the transport properties, of this infrared fixed point are studied. It would be interesting to observe this state in quasi-one-dimensional electron systems.Quasi-one-dimensional electron systems in two and higher dimensions are studied. It is shown that the interchain electron hopping is renormalized to zero in the infrared limit if the intrachain repulsive interaction is strong enough. In this case the higher-dimensional electron system flows to metallic non-Fermi-liquid fixed points---a Luttinger liquid. Some experimental consequences, in particular the transport properties, of this infrared fixed point are studied. It would be interesting to observe this state in quasi-one-dimensional electron systems.

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3{k}_{\mathrm{F}}

point. We identify that the second singularity is of the same Luttinger liquid type as the low-energy one at

{k}_{\mathrm{F}}

. By calculating the spectral function simultaneously, we show that the second Luttinger liquid at

3{k}_{\mathrm{F}}

is formed by charge modes only, unlike the known one around

{k}_{\mathrm{F}}

consisting of both spin and charge modes. This result reveals the ability of the spin-charge separation effect to split the Fermi point of free electrons into two, demonstrating its robustness beyond the low-energy limit of Luttinger liquid where it was originally found.