Entanglement spectroscopy of SU(2)-broken phases in two dimensions

Kolley F., Depenbrock S., McCulloch I.P., Schollwock U. and Alba V. (2013) Entanglement spectroscopy of SU(2)-broken phases in two dimensions. Physical Review B - Condensed Matter and Materials Physics, 88 14: 144426.1-144426.9. doi:10.1103/PhysRevB.88.144426

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Author Kolley F.
Depenbrock S.
McCulloch I.P.
Schollwock U.
Alba V.
Title Entanglement spectroscopy of SU(2)-broken phases in two dimensions
Journal name Physical Review B - Condensed Matter and Materials Physics   Check publisher's open access policy
ISSN 1098-0121
Publication date 2013-10-30
Year available 2013
Sub-type Article (original research)
DOI 10.1103/PhysRevB.88.144426
Open Access Status File (Publisher version)
Volume 88
Issue 14
Start page 144426.1
End page 144426.9
Total pages 9
Place of publication College Park, United States
Publisher American Physical Society
Collection year 2014
Language eng
Formatted abstract
In magnetically ordered systems, the breaking of SU(2) symmetry in the thermodynamic limit is associated with the appearance of a special type of low-lying excitations in finite-size energy spectra, the so-called tower of states (TOS). In the present work, we numerically demonstrate that there is a correspondence between the SU(2) tower of states and the lower part of the ground-state entanglement spectrum (ES). Using state-of-the-art density matrix renormalization group (DMRG) calculations, we examine the ES of the 2D antiferromagnetic J1-J2 Heisenberg model on both the triangular and kagome lattice. At large ferromagnetic J2, the model exhibits a magnetically ordered ground state. Correspondingly, its ES contains a family of low-lying levels that are reminiscent of the energy tower of states. Their behavior (level counting, finite-size scaling in the thermodynamic limit) sharply reflects TOS features, and is characterized in terms of an effective entanglement Hamiltonian that we provide. At large system sizes, TOS levels are divided from the rest by an entanglement gap. Our analysis suggests that (TOS) entanglement spectroscopy provides an alternative tool for detecting and characterizing SU(2)-broken phases using DMRG.
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Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
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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 14 times in Scopus Article | Citations
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