Parity effects in the scaling of block entanglement in gapless spin chains

Details Parity effects in the scaling of block entanglement in gapless spin chains Parity effects in the scaling of block entanglement in gapless spin chains

2009-11-24

arxiv.org/abs/0911.4660v2

Phys.Rev.Lett.104:095701,2010

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures. Final version accepted in PRL

Scientific paper

We consider the Renyi alpha-entropies for Luttinger liquids (LL). For large block lengths l these are known to grow like ln l. We show that there are subleading terms that oscillate with frequency 2k_F (the Fermi wave number of the LL) and exhibit a universal power-law decay with l. The new critical exponent is equal to K/(2 alpha), 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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