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We consider the R\'enyi α entropies for Luttinger liquids (LL). For large block lengths , these are known to grow like ln. We show that there are subleading terms that oscillate with frequency 2kF (the Fermi wave number of the LL) and exhibit a universal power-law decay with . The new critical exponent is equal to K/(2α), where K is the LL parameter. We present numerical results for the anisotropic XXZ model and the full analytic solution for the free fermion (XX) point.
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Calabrese et al. (2010) studied this question.
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