Abstract
We compute the spectral function p(q, ω) of the one-dimensional Luttinger model. We discuss the distinct influences of charge-spin separation and of the anomalous dimensions of the fermion operators and their evolution with correlation strength. Charge-spin separation shows up in finite spectral weight at frequencies between υσ q and υp q where υ p and υσ are the velocities of charge and spin fluctuations, while spectral weight above υp q and below -υp q is generated by the hybridization of the Fermi surface at ±k F by interactions. There are nonuniversal power-law singularities at these spectral frequencies. We discuss the consistency of recent photoemission experiments on low-dimensional conductors with a Luttinger liquid picture which then would suggest very strong long range interactions.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J. Sólyom, Adv. Phys. 28, 201 (1979).
D. C. Mattis and E. H. Lieb, J. Math. Phys. 6, 304 (1963)
I. E. Dzyaloshinskiĭ and A. I. Larkin, Sov. Phys. JETP 38, 202 (1974).
F. D. M. Haldane, Phys. Rev. Lett. 45, 1358 (1980).
F. D. M. Haldane, J. Phys. C 14, 2585 (1981).
e. g. M. Ogata and H. Shiba, Phys. Rev. B. 41, 2326 (1990)
H. J. Schulz, Phys. Rev. Lett. 64, 2831 (1990)
H. Frahm and V. E. Korepin, Phys. Rev. B 42, 10553 (1990)
C. S. Hellberg and E. J. Mele, Phys. Rev. Lett. 67, 2080 (1991)
M. Ogata, M. Luchini, S. Sorella, and F. F. Assaad, Phys. Rev. Lett. 66, 2388 (1991)
J. Voit, Phys. Rev. B 45, 4027 (1992).
P. W. Anderson and Y. R. Ren, Proceedings of the Los Alamos Conference on High-T c-Superconductivity, Addison Wesley Publ. Comp., 1990, p. 3
P. W. Anderson, Phys. Rev. Lett. 64, 1839 and 65, 2306 (1990).
C. G. Olson et al., Phys. Rev. B 42, 381 (1990).
J. P. Pouget, S. K. Khanna, F. Denoyer, R. Comes, A. F. Garito, and A. J. Heeger, Phys. Rev. Lett. 37, 437 (1976)
H. Basista, D. A. Bonn, T. Timusk, J. Voit, D. Jérome, and K. Bechgaard, Phys. Rev. B 42, 4088 (1990)
C. Bourbonnais, F. Creuzet, D. Jérome, K. Bechgaard, and A. Moradpour, J. Phys (Paris) Lett. 45, L755 (1984)
P. Wzietek, F. Creuzet, C. Bourbonnais, D. Jérôme, and A. Moradpour, J. Phys. (Paris) I 3, 171 (1993).
B. Dardel, D. Malterie, M. Grioni, P. Weibel, Y. Baer, and F. Lévy, Phys. Rev. Lett. 67, 3144 (1991).
B. Dardel, D. Malterre, M. Grioni, P. Weibel, Y. Baer, J. Voit, and D. Jérôme, submitted to Phys. Rev. Lett.
J. Voit, Phys. Rev. B 47, 6740 (1993) and J. Phys. CM 5, 8305 (1993).
V. Meden and K. Schönhammer, Phys. Rev. B 46, 15753 (1992), and preprint.
A. Luther and I. Peschel, Phys. Rev. B 9, 2911 (1974).
J. M. Luttinger, Phys. Rev. 119, 1153 (1960).
R. Bozio, M. Meneghetti, D. Pedron, and C. Pecile, Synth. Met. 27, B129 (1988).
J. Voit and H.J. Schulz, Phys. Rev. B 37, 10068 (1988).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1995 Springer Science+Business Media New York
About this chapter
Cite this chapter
Voit, J. (1995). Charge-Spin Separation and the Spectral Properties of Luttinger Liquids. In: Baeriswyl, D., Campbell, D.K., Carmelo, J.M.P., Guinea, F., Louis, E. (eds) The Hubbard Model. NATO ASI Series, vol 343. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1042-4_27
Download citation
DOI: https://doi.org/10.1007/978-1-4899-1042-4_27
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-1044-8
Online ISBN: 978-1-4899-1042-4
eBook Packages: Springer Book Archive