Bosonization and phase Diagram of the one-dimensional t-J model

Physics – Condensed Matter – Strongly Correlated Electrons

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24 pages, 1 Figure

Scientific paper

10.1103/PhysRevB.66.155111

We present an analytic study of the phase diagram of the one-dimensional t-J model and a couple of its cousins. To deal with the interactions induced by the no double occupancy constraints, we introduce a deformation of the Hubbard operators. When the deformation parameter $\Delta$ is small, the induced interactions are softened, accessible by perturbation theory. We combine bososnization with renormalization group techniques to map out the phase diagram of the system. We argue that when $\Delta\to 1$, there is no essential change in the phase diagram. Comparison with the existing results in the literature obtained by other methods justifies our deformation approach.

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