XXZ Chain Correlation Functions PDF Summary
Dear readers, here we are offering XXZ Chain Correlation Functions PDF to all of you. We consider the XXZ spin chain with diagonal boundary conditions in the framework of the algebraic Bethe ansatz. Using the explicit computation of the scalar products of Bethe states and a revisited version of the bulk quantum inverse problem, we calculate the elementary building blocks for the correlation functions.
In the limit of a half-infinite chain, they are obtained as multiple integrals of usual functions, similar to the case of periodic boundary conditions. We derive compact multiple integral formulas for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field.
XXZ Chain Correlation Functions PDF
We derive compact multiple integral formulae for several physical spin correlation functions in the semi-infinite XXZ chain with a longitudinal boundary magnetic field. Our formulae follow from several effective resummations of the multiple integral representations for the elementary blocks obtained in our previous paper (I).
In the free fermion point, we compute the local magnetization as well as the density of energy profiles. These quantities, in addition to their bulk behavior, exhibit Friedel-type oscillations induced by the boundary; their amplitudes depend on the boundary magnetic field and decay algebraically in terms of the distance to the boundary.
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