Scattering matrix and excitation spectrum of the Hubbard model
- 7 February 1994
- journal article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 72 (6) , 908-911
- https://doi.org/10.1103/physrevlett.72.908
Abstract
We consider the one-dimensional Hubbard model at half filling. We show that both excitation spectrum and S-matrix are determined by the SO(4) symmetry of the model. The complete set of excitations is given by the scattering states four elementary excitations, which form the fundamental representation of SO(4). We evaluate the exact S-matrix, which satisfies the Yang-Baxter relation. The results for the repulsive and attractive Hubbard model are related by an interchange of spin and charge degrees of freedom.Comment: 8 pages, jyTeX (macro included - just TeX the file) ITP-SB-93-4Keywords
All Related Versions
This publication has 16 references indexed in Scilit:
- Generalization of the Landau liquid concept: example of the Luttinger liquidsJournal of Physics: Condensed Matter, 1991
- SO4 SYMMETRY IN A HUBBARD MODELModern Physics Letters B, 1990
- ηpairing and off-diagonal long-range order in a Hubbard modelPhysical Review Letters, 1989
- Spectrum and scattering of excitations in the one-dimensional isotropic Heisenberg modelJournal of Mathematical Sciences, 1984
- Spin excitations in a Hubbard chainJournal of Physics C: Solid State Physics, 1983
- The picture of low-lying excitations in the isotropic Heisenberg chain of arbitrary spinsPhysics Letters A, 1982
- Excitations with complex wavenumbers in a Hubbard chain. I. States with one pair of complex wavenumbersJournal of Physics C: Solid State Physics, 1982
- What is the spin of a spin wave?Physics Letters A, 1981
- VIOLATION OF THE NONCROSSING RULE: THE HUBBARD HAMILTONIAN FOR BENZENE*Annals of the New York Academy of Sciences, 1971
- Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One DimensionPhysical Review Letters, 1968