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

Abstract:
We consider the Rényi alpha entropies for Luttinger liquids (LL). For large block lengths l, these are known to grow like lnl. 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/(2alpha), 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.
Publication status:
Published

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Authors


Calabrese, P More by this author
Campostrini, M More by this author
Nienhuis, B More by this author
Journal:
Physical review letters
Volume:
104
Issue:
9
Pages:
095701
Publication date:
2010-03-05
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
URN:
uuid:0fe57435-cdf5-457d-9799-1be447861d4d
Source identifiers:
199319
Local pid:
pubs:199319
Language:
English

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