Abstract
We point out that the quasiparticle spectrum of the Landau Fermi liquid theory has an extra Z2 symmetry, local in momentum space, which is not generic to the Hamiltonian with interactions. Thus the Fermi liquid is in this sense a (quantum) zero-temperature critical point.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
L. D. Landau, Sov. Phys. JETP 3:920 (1956).
P. W. Anderson, Phys. Rev. 112:1900 (1958); Y. Nambu, Phys. Rev. 117:648 (1960).
F. D. M. Haldane, J. Phys. C 14:2585 (1981); E. Lieb and F. Y. Wu, Phys. Rev. Lett. 20:1447 (1967).
K. Huang and C. N. Yang, Phys. Rev. 105:767 (1958).
V. M. Galitskii, Sov. Phys. JETP 7:104 (1958).
P. Bloom, Phys. Rev. B 12:125 (1975).
F. D. M. Haldane, Phys. Rev. Lett. 40:416 (1978); P. W. Anderson, Phys. Rev. 124:1 (1959).
V. Zlatic and B. Horvatic, Phys. Rev. B 28:6904 (1983).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Anderson, P.W., Haldane, F.D.M. The Symmetries of Fermion Fluids at Low Dimensions. Journal of Statistical Physics 103, 425–428 (2001). https://doi.org/10.1023/A:1010324912515
Issue Date:
DOI: https://doi.org/10.1023/A:1010324912515