The concept of a Luttinger liquid has recently been established as vital to our understanding of the behaviour of one-dimensional quantum systems. Although this has led to a number of theoretical breakthroughs, only now has its descriptive power been confirmed experimentally.
This is a preview of subscription content, access via your institution
Relevant articles
Open Access articles citing this article.
-
A robust and tunable Luttinger liquid in correlated edge of transition-metal second-order topological insulator Ta2Pd3Te5
Nature Communications Open Access 23 November 2023
-
Gapless spin liquid in a square-kagome lattice antiferromagnet
Nature Communications Open Access 09 July 2020
-
Spinon confinement and a sharp longitudinal mode in Yb2Pt2Pb in magnetic fields
Nature Communications Open Access 08 March 2019
Access options
Subscribe to this journal
Receive 12 print issues and online access
$259.00 per year
only $21.58 per issue
Buy this article
- Purchase on Springer Link
- Instant access to full article PDF
Prices may be subject to local taxes which are calculated during checkout
References
Belavin, A. A., Polyakov, A. M. & Zamolodcchikov, A. B. Infinite conformal symmetry in two-dimensional quantum field theory. Nucl. Phys. B 241, 333–380 (1983).
Cardy, J. L. Conformal invariance and universality in finite-size scaling. J. Phys. A 17, L385–L387 (1984).
Affleck, I. Exact critical exponents for quantum spin chains, non-linear σ-models at θ = π and the quantum hall effect. Nucl. Phys. B 265, 409–447 (1986).
Tsvelik, A. M. Quantum Field Theory in Condensed Matter Physics 2nd edn (Cambridge Univ. Press, Cambridge, 2003).
Lake, B., Tennant, D. A., Frost, C. D. & Nagler, S. E. Nature Mater. 4, 329–334 (2005).
Mattis, D. C. & Lieb, E. H. Exact solution of a many-fermion system and its associated boson field. J. Math. Phys. 6, 304–312 (1965).
Mattis, D. C. New wave-operator identity applied to the study of persistent currents in 1D. J. Math. Phys. 15, 609–612 (1974).
Regnault, L.-P., Zaliznyak, I. A. & Meshkov, S. V. Thermodynamic properties of the Haldane spin chain: statistical model for the elementary excitations. J. Phys. Condens. Matter 5, L677–L684 (1993).
Gogolin, A. O., Nersesyan, A. A. & Tsvelik, A. M. Bosonisation and Strongly Correlated Systems (Cambridge Univ. Press, Cambridge, 1998).
Haldane, F. D. M. “Luttinger liquid theory” of one-dimensional quantum fluids. J. Phys. C 14, 2585–2609 (1981).
Bocquet, M., Essler, F. H. L., Tsvelik, A. M. & Gogolin, A. O. Finite-temperature dynamical susceptibility of quasi-one-dimensional frustrated spin-½ Heisenberg antiferromagnets. Phys. Rev. B 64, 094425 (2001).
Zaliznyak, I. et al. Spinons in the strongly correlated copper oxide chains in SrCuO2 . Phys. Rev. Lett. 93, 087202 (2004).
Stone, M. B. et al. Extended quantum critical phase in a magnetized spin-½ antiferromagnetic chain. Phys. Rev. Lett. 91, 037205 (2003).
Zheludev, A. et al. Polarization dependence of spin excitations in BsCu2Si2O7 . Phys. Rev. B 67, 134406 (2003).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Zaliznyak, I. A glimpse of a Luttinger liquid. Nature Mater 4, 273–275 (2005). https://doi.org/10.1038/nmat1358
Issue Date:
DOI: https://doi.org/10.1038/nmat1358
This article is cited by
-
\(\mu \)SR studies on copper minerals
Interactions (2024)
-
A robust and tunable Luttinger liquid in correlated edge of transition-metal second-order topological insulator Ta2Pd3Te5
Nature Communications (2023)
-
Gapless spin liquid in a square-kagome lattice antiferromagnet
Nature Communications (2020)
-
Spinon confinement and a sharp longitudinal mode in Yb2Pt2Pb in magnetic fields
Nature Communications (2019)
