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'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas
Open accessAbstract
The explicitly soluble Luttinger model is used as a basis for the description of the general interacting Fermi gas in one dimension, which will be called 'Luttinger liquid theory', by analogy with Fermi liquid theory. The excitation spectrum of the Luttinger model is described by density-wave, charge and current excitations; its spectral properties determine a characteristic parameter that controls the correlation function exponents. These relations are shown to survive in non-soluble generalisations of the model with a non-linear fermion dispersion. It is proposed that this low-energy structure is universal to a wide class of 1D systems with conducting or fluid properties, including spin chains.
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Cites
Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
Bethe, H. (1931) · Zeitschrift f�r Physik · doi:10.1007/bf01341708 · Cited by 3,768
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Viefers, S., Koskinen, P., Singha Deo, P., & Manninen, M. (2004) · Physica E: Low-dimensional Systems and Nanostructures · doi:10.1016/j.physe.2003.08.076 · Cited by 283
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Metadata
- Authors
- Haldane, F. D. M.
- Venue
- Journal of Physics C: Solid State Physics
- Publisher
- IOP Publishing
- Published
- 1981-07-10
- Volume
- 14
- Issue
- 19
- Pages
- 2585-2609
- ISSN
- 0022-3719 (ISSN-L)
- OpenAlex
- W2121644225
- Cited by
- 2,496
- References
- 1
- FWCI
- 1.72
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Haldane, F. D. M. (1981). 'Luttinger liquid theory' of one-dimensional quantum fluids. I. Properties of the Luttinger model and their extension to the general 1D interacting spinless Fermi gas. Journal of Physics C: Solid State Physics. https://doi.org/10.1088/0022-3719/14/19/010
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
