262015
20181221182138.0
2469-9950
2469-9969
isi
000449515500004
doi
10.1103/PhysRevB.98.184409
ARTICLE
Non-Abelian chiral spin liquid in a quantum antiferromagnet revealed by an iPEPS study
2018-11-08
2018-11-08
Journal Articles
Abelian and non-Abelian topological phases exhibiting protected chiral edge modes are ubiquitous in the realm of the fractional quantum Hall (FQH) effect. Here, we investigate a spin-1 Hamiltonian on the square lattice which could, potentially, host the spin liquid analog of the (bosonic) non-Abelian Moore-Read FQH state, as suggested by exact diagonalization of small clusters. Using families of fully SU(2)-spin symmetric and translationally invariant chiral projected entangled pair states (PEPS), variational energy optimization is performed using infinite-PEPS methods, providing good agreement with density matrix renormalization group (DMRG) results. A careful analysis of the bulk spin-spin and dimer-dimer correlation functions in the optimized spin liquid suggests that they exhibit long-range "gossamer tails". From the investigation of the entanglement spectrum, we observe sharply defined chiral edge modes following the prediction of the SU(2)(2) Wess-Zumino-Witten theory and exhibiting a conformal field theory (CFT) central charge c = 3/2, as expected for a Moore-Read chiral spin liquid. Using the PEPS bulk-edge correspondence, we argue the "weak" criticality of the bulk is in fact a finite-D artifact of the chiral PEPS, which quickly becomes (practically) irrelevant as the PEPS bond dimension D is increased. We conclude that the PEPS formalism offers an unbiased and efficient method to investigate non-Abelian chiral spin liquids in quantum antiferromagnets.
Materials Science, Multidisciplinary
Physics, Applied
Physics, Condensed Matter
Materials Science
Physics
hall states
excitations
formulation
statistics
anyons
Chen, Ji-Yao
Vanderstraeten, Laurens
Capponi, Sylvain
Poilblanc, Didier
98
18
184409
Physical Review B
beatrice.marselli@epfl.ch
252557
IPHYS
U13149
oai:infoscience.epfl.ch:262015
article
SB
fantin.reichler@epfl.ch
EPFL
REVIEWED
PUBLISHED
ARTICLE
overwrite