FERMIONIC REPRESENTATIONS OF INTEGRABLE LATTICE SYSTEMS

Authors
GOHMANN F MURAKAMI S
Citation
F. Gohmann et S. Murakami, FERMIONIC REPRESENTATIONS OF INTEGRABLE LATTICE SYSTEMS, Journal of physics. A, mathematical and general (Print), 31(38), 1998, pp. 7729-7749
Citations number
32
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general (Print) → ACNP
ISSN journal
03054470
Volume
31
Issue
38
Year of publication
1998
Pages
7729 - 7749
Database
ISI
SICI code
0305-4470(1998)31:38<7729:FROILS>2.0.ZU;2-Q
Abstract
We develop a general scheme for the use of Fermi operators within the framework of integrable systems. This enables us to read off a fermion ic Hamiltonian from a given solution of the Yang-Baxter equation and t o express the corresponding L-matrix and the generators of symmetries in terms of Fermi operators. We illustrate our approach through a numb er of examples. Our main example is the algebraic Bethe ansatz solutio n of the Hubbard model in the infinite coupling limit.