Boundary quantum critical phenomena with entanglement renormalization

Evenbly, G, Pfeifer, R. N. C., Pico, V., Iblisdir, S., Tagliacozzo, L., McCulloch, I.P. and Vidal, G. (2010) Boundary quantum critical phenomena with entanglement renormalization. Physical Review B - Condensed Matter and Materials Physics, 82 16: 1-4. doi:10.1103/PhysRevB.82.161107

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Author Evenbly, G
Pfeifer, R. N. C.
Pico, V.
Iblisdir, S.
Tagliacozzo, L.
McCulloch, I.P.
Vidal, G.
Title Boundary quantum critical phenomena with entanglement renormalization
Journal name Physical Review B - Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1098-0121
Publication date 2010-10-15
Sub-type Article (original research)
DOI 10.1103/PhysRevB.82.161107
Open Access Status File (Publisher version)
Volume 82
Issue 16
Start page 1
End page 4
Total pages 4
Place of publication Melville, NY, U.S.A.
Publisher American Physical Society
Collection year 2011
Language eng
Abstract We propose the use of entanglement renormalization techniques to study boundary critical phenomena on a lattice system. The multiscale entanglement renormalization ansatz (MERA), in its scale invariant version, offers a very compact approximation to quantum critical ground states. Here we show that, by adding a boundary to the MERA, an accurate approximation to the ground state of a semi-infinite critical chain with an open boundary is obtained, from which one can extract boundary scaling operators and their scaling dimensions. As in Wilson's renormalization-group formulation of the Kondo problem, our construction produces, as a side result, an effective chain displaying explicit separation of energy scales. We present benchmark results for the quantum Ising and quantum XX models with free and fixed boundary conditions. © 2010 The American Physical Society.
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes This is an Open Access article: Article number 161107(R) ; 4 pages

Document type: Journal Article
Sub-type: Article (original research)
Collections: Official 2011 Collection
School of Physical Sciences Publications
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Citation counts: TR Web of Science Citation Count  Cited 19 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 17 times in Scopus Article | Citations
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Created: Sun, 05 Dec 2010, 00:03:00 EST