The XXC Models

Abstract

A class of recently introduced multi-states XX models is generalized to include a deformation parameter. This corresponds to an additional nearest-neighbor CC interaction in the defining quadratic hamiltonian. Complete integrability of the one-dimensional models is shown in the context of the quantum inverse scattering method. The new R-matrix is derived. The diagonalization of the XXC models is carried out using the algebraic Bethe Ansatz.

6 pages, LaTeX

References in corpus (5)

• The su(N) XX model
• The su(N) Hubbard model
• Exact integrability of the su(n) Hubbard model
• Lax pair for SU(n) Hubbard model
• Hubbard Models as Fusion Products of Free Fermions

Cited by in corpus (14)

• Matrix product symmetries and breakdown of thermalization from hard rod deformations
• Fermionization and Hubbard Models
• Exactly solvable subspaces of non-integrable spin chains with boundaries and quasiparticle interactions
• On two non-ergodic reversible cellular automata, one classical, the other quantum
• Weak ergodicity breaking with isolated integrable sectors
• Algebraic Bethe Ansatz for Integrable Extended Hubbard Models Arising from Supersymmetric Group Solutions
• Boundary dissipative spin chains with partial solvability inherited from system Hamiltonians
• Superintegrable cellular automata and dual unitary gates from Yang-Baxter maps
• Complete Classification of Integrability and Non-integrability for Spin-1/2 Chain with Symmetric Nearest-Neighbor Interaction
• Flag Integrable Models and Generalized Graded Algebras
• Multiplicity in Supersymmetric Spin Chains
• Proof of the absence of local conserved quantities in general spin-1/2 chains with symmetric nearest-neighbor interaction
• New Integrable Models from Fusion
• Edge-Edge Correlations without Edge-States: $\eta$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain