The su(N) XX model
arXiv:cond-mat/9709163 · doi:10.1016/S0550-3213(98)80004-7
Abstract
The natural su(N) generalization of the XX model is introduced and analyzed. It is defined in terms of the characterizing properties of the usual XX model: the existence of two infinite sequences of mutually commuting conservation laws and the existence of two infinite sequences of mastersymmetries. The integrability of these models, which cannot be obtained in a degenerate limit of the su(N)-XXZ model, is established in two ways: by exhibiting their R matrix and from a direct construction of the commuting conservation laws. We then diagonalize the conserved laws by the method of the algebraic Bethe Ansatz. The resulting spectrum is trivial in a certain sense; this provides another indication that the su(N) XX model is the natural generalization of the su(2) model. The application of these models to the construction of an integrable ladder, that is, an su(N) version of the Hubbard model, is mentioned.
16 pages, TeX and harvmac (option b). Minor corrections, accepted for publication in Nuclear Physics B
Cited by in corpus (26)
- Fermionic representations of integrable lattice systems
- Matrix product symmetries and breakdown of thermalization from hard rod deformations
- Critical behaviour of a spin-tube model in a magnetic field
- Real-Time Evolution in the Hubbard Model with Infinite Repulsion
- The XXC Models
- Super-Hubbard models and applications
- An integrable spin chain with Hilbert space fragmentation and solvable real time dynamics
- On the integrability of the SU(N) Hubbard model
- Fermionization and Hubbard Models
- Finite temperature spin diffusion in the Hubbard model in the strong coupling limit
- Hubbard Models as Fusion Products of Free Fermions
- Lax pair for SU(n) Hubbard model
- Bethe equations for generalized Hubbard models
- Entanglement blossom in a simplex matryoshka
- Weak ergodicity breaking with isolated integrable sectors
- Universal Hubbard models with arbitrary symmetry
- Multiplicity A_m Models
- Integrable variant of the one-dimensional Hubbard model
- Generalised integrable Hubbard models
- The Exact Solution of the SU(3) Hubbard Model
- Multiplicity in Supersymmetric Spin Chains
- Flag Integrable Models and Generalized Graded Algebras
- Superintegrable cellular automata and dual unitary gates from Yang-Baxter maps
- Yang-Baxter equation for the R-matrix of 1-D SU(n) Hubbard model
- Quantum integrable systems. Quantitative methods in biology
- Coideal Quantum Affine Algebra and Boundary Scattering of the Deformed Hubbard Chain