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Exact Derivation of Luttinger Liquid Relation in a One-Dimensional Two-Component Quantum System with Hyperbolic Interactions

We present an exact calculation of the Luttinger liquid relation for the one-dimensional, two-component SC model in the interaction strength range $-1<s<0$ by appropriately varying the limits of the integral Bethe Ansatz equations. The result is confirmed by numerical and conformal methods. By a related study of the transport properties of the SC model, we can give an exact formula for the susceptibility. Our method is applicable to a wide range of models such as, e.g., the Heisenberg-Ising chain.

preprint1994arXivOpen access
Rudolf A. RömerBill Sutherland
cond-mat
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Open access2 authors1 topic
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Rudolf A. RömerBill Sutherland

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