General Relation of Correlation Exponents and Spectral Properties of One-Dimensional Fermi Systems: Application to the Anisotropic S=12 Heisenberg Chain
Abstract
A relation between the spectrum and correlation exponents of the Luttinger model is argued to be a general property of a universality class called "Luttinger liquids." The spinless fermion model equivalent to the S=12 Heisenberg-Ising -XY chain in a field is argued to belong to this class, allowing for the first time the systematic calculation of its correlation exponents.
- Publication:
-
Physical Review Letters
- Pub Date:
- October 1980
- DOI:
- 10.1103/PhysRevLett.45.1358
- Bibcode:
- 1980PhRvL..45.1358H
- Keywords:
-
- 75.10.Jm;
- 71.45.Gm;
- Quantized spin models;
- Exchange correlation dielectric and magnetic response functions plasmons