Skip to main content

Condensed Matter > Strongly Correlated Electrons

arXiv:1912.13393 (cond-mat)
[Submitted on 31 Dec 2019 (v1), last revised 23 Jan 2020 (this version, v2)]

Title:SU$(3)_1$ Chiral Spin Liquid on the Square Lattice: a View from Symmetric PEPS

Authors:Ji-Yao Chen, Sylvain Capponi, Alexander Wietek, Matthieu Mambrini, Norbert Schuch, Didier Poilblanc
View PDF HTML (experimental)
Abstract:Quantum spin liquids can be faithfully represented and efficiently characterized within the framework of Projected Entangled Pair States (PEPS). Guided by extensive exact diagonalization and density matrix renormalization group calculations, we construct an optimized symmetric PEPS for a SU$(3)_1$ chiral spin liquid on the square lattice. Characteristic features are revealed by the entanglement spectrum (ES) on an infinitely long cylinder. In all three $\mathbb{Z}_3$ sectors, the level counting of the linear dispersing modes is in full agreement with SU$(3)_1$ Wess-Zumino-Witten conformal field theory prediction. Special features in the ES are shown to be in correspondence with bulk anyonic correlations, indicating a fine structure in the holographic bulk-edge correspondence. Possible universal properties of topological SU$(N)_k$ chiral PEPS are discussed.
Comments: v1: 6+23 pages, 4+13 figures, 0+27 tables. v2: add one figure in supplemental material, add one reference
Subjects: Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)
Cite as: arXiv:1912.13393 [cond-mat.str-el]
  (or arXiv:1912.13393v2 [cond-mat.str-el] for this version)
  https://doi.org/10.48550/arXiv.1912.13393
Journal reference: Phys. Rev. Lett. 125, 017201 (2020)
Related DOI: https://doi.org/10.1103/PhysRevLett.125.017201

Submission history

From: Ji-Yao Chen [view email]
[v1] Tue, 31 Dec 2019 16:30:25 UTC (4,115 KB)
[v2] Thu, 23 Jan 2020 09:25:24 UTC (4,152 KB)
Full-text links:

Access Paper:

view license

Current browse context:

cond-mat.str-el
< prev   |   next >
new | recent | 2019-12
Change to browse by:
cond-mat
quant-ph

References & Citations

Bookmark

BibSonomy Reddit

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)
IArxiv Recommender (What is IArxiv?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)