Boundary quantum critical phenomena with entanglement renormalization

G. Evenbly*, R. N C Pfeifer, V. Picó, S. Iblisdir, L. Tagliacozzo, I. P. McCulloch, G. Vidal

*Corresponding author for this work

Research output: Contribution to journalArticle

27 Citations (Scopus)

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.

Original languageEnglish
Article number161107
Pages (from-to)1-4
Number of pages4
JournalPhysical Review B: Condensed Matter and Materials Physics
Volume82
Issue number16
DOIs
Publication statusPublished - 29 Oct 2010
Externally publishedYes

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    Evenbly, G., Pfeifer, R. N. C., Picó, V., Iblisdir, S., Tagliacozzo, L., McCulloch, I. P., & Vidal, G. (2010). Boundary quantum critical phenomena with entanglement renormalization. Physical Review B: Condensed Matter and Materials Physics, 82(16), 1-4. [161107]. https://doi.org/10.1103/PhysRevB.82.161107