Infinite Matrix Product States for Open Spin Chains

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Hong-Hao Tu and Germán Sierra



We propose infinite Matrix Product States (MPS) constructed from conformal field theories for describing 1D critical systems with open boundaries. To illustrate this, we consider a simple infinite MPS for a spin-1/2 chain and derive an inhomogeneous open Haldane-Shastry model. For the spin-1/2 open Haldane-Shastry model, we derive an exact expression for the two-point spin correlation function. We also provide an SU(n) generalization of the open Haldane-Shastry model and determine its twisted Yangian generators responsible for the highly degenerate multiplets in the energy spectrum.