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Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
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We study asymptotic expansions of spin-spin correlation functions for the XXZ Heisenberg chain in the critical regime. We use the fact that the long-distance effects can be described by the Gaussian conformal field theory. Comparing exact results for form factors in the XYZ and sine-Gordon models, we determine correlation amplitudes for the leading and main sub-leading terms in the asymptotic expansions of spin-spin correlation functions. We also study the isotropic (XXX) limit of these expansions.
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One dimensional Bose-Hubbard model with long range hopping
A theory paper predicts the zero- and finite-temperature phase diagram of one-dimensional bosons with power-law hopping, including a divergent Tomonaga-Luttinger exponent for 2<α<3 at low temperature.
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