Doped Heisenberg chains: spin-S generalizations of the supersymmetric t-J model

Abstract

A family of exactly solvable models describing a spin-S Heisenberg chain doped with mobile spin-(S-1/2) carriers is constructed from gl(2|1)-invariant solutions of the Yang-Baxter equation. The models are generalizations of the supersymmetric t-J model which is obtained for S=1/2. We solve the model by means of the algebraic Bethe Ansatz and present results for the zero temperature and thermodynamic properties. At low temperatures the models show spin charge separation, i.e. contain contributions of a free bosonic theory in the charge sector and an SU(2)-invariant theory describing the magnetic excitations. For small carrier concentration the latter can be decomposed further into an SU(2) level-2S Wess-Zumino-Novikov-Witten model and the minimal unitary model M_p with p=2S+1.

LaTeX, 24 pp. incl. 4 figures

References in corpus (1)

• Doping Induced Magnetization Plateaus

Cited by in corpus (22)

• Super-diffusion in one-dimensional quantum lattice models
• Dilatation operator in (super-)Yang-Mills theories on the light-cone
• Continuum Limit of the Integrable sl(2/1) 3-\bar{3} Superspin Chain
• Quantum integrability in (super) Yang-Mills theory on the light-cone
• Phase Diagram of an Integrable Alternating $U_q[sl(2|1)]$ Superspin Chain
• Algebraic Bethe ansatz for the gl(1|2) generalized model and Lieb-Wu equations
• Universal R-matrix as integral operator
• Algebraic Bethe ansatz for the gl(1$|$2) generalized model II: the three gradings
• Doping Induced Magnetization Plateaus
• Exact solution and finite size properties of the $U_q[osp(2|2m)]$ vertex model
• A note on the osp(1|2s) thermodynamic Bethe ansatz equation
• Boundary Kondo impurities in the generalized supersymmetric t-J model
• Bethe-State Counting and the Witten Index
• Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations
• Lattice path integral approach to the one-dimensional Kondo model
• Thermodynamics of osp(1|2) Integrable Spin Chain: Finite Size Correction
• Truncation identities for the small polaron fusion hierarchy
• Bethe Vectors for Composite Models with $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(1|2)$ Supersymmetry
• The $U_q(\widehat{sl}(2/1){)}_1$-module $V({\Lambda }_2)$ and a Corner Transfer Matrix at q=0
• Dynamically Induced Multi-Channel Kondo Effect
• Magnetic properties of doped Heisenberg chains
• Interplay between a quantum impurity and a boundary field in the SUSY t-J model