Universität zu Köln

Helmes, Johannes, Sierens, Lauren E. Hayward, Chandran, Anushya, Witczak-Krempa, William ORCID: 0000-0003-2350-2583 and Melko, Roger G. (2016). Universal corner entanglement of Dirac fermions and gapless bosons from the continuum to the lattice. Phys. Rev. B, 94 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 2469-9969

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Abstract

A quantum critical (QC) fluid exhibits universal subleading corrections to the area law of its entanglement entropies. In two dimensions, when the partition involves a corner of angle theta, the subleading term is logarithmic with coefficient a(alpha)(theta) for the alpha-Renyi entropy. In the smooth limit theta -> pi, a(1)(theta) yields the central charge of the stress tensor when the QC point is described by a conformal field theory (CFT). For general Renyi indices and angles, a(alpha)(theta) is richer and few general results exist. We study a(alpha)(theta) focusing on two benchmark CFTs, the free Dirac fermion and boson. We perform numerical lattice calculations to obtain high precision results in 0, alpha regimes hitherto unexplored. We derive field theory estimates for a(alpha)(theta), including exact results, and demonstrate an excellent quantitative match with our numerical calculations. We also develop and test strong lower bounds, which apply to both free and interacting QC systems. Finally, we comment on the near collapse of a(alpha)(theta) for various theories, including interacting O(N) models.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Helmes, Johannes UNSPECIFIED UNSPECIFIED UNSPECIFIED Sierens, Lauren E. Hayward UNSPECIFIED UNSPECIFIED UNSPECIFIED Chandran, Anushya UNSPECIFIED UNSPECIFIED UNSPECIFIED Witczak-Krempa, William UNSPECIFIED orcid.org/0000-0003-2350-2583 UNSPECIFIED Melko, Roger G. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-262102
DOI:	10.1103/PhysRevB.94.125142
Journal or Publication Title:	Phys. Rev. B
Volume:	94
Number:	12
Date:	2016
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	2469-9969
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language ENTROPY Multiple languages Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed Matter Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/26210