Simulating Chiral Spin Liquids with Projected Entangled-Pair States - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Phys.Rev.Lett. Année : 2022

Simulating Chiral Spin Liquids with Projected Entangled-Pair States

Résumé

Doubts have been raised on the representation of chiral spin liquids exhibiting topological order in terms of projected entangled pair states (PEPSs). Here, starting from a simple spin-1/2 chiral frustrated Heisenberg model, we show that a faithful representation of the chiral spin liquid phase is in fact possible in terms of a generic PEPS upon variational optimization. We find a perfectly chiral gapless edge mode and a rapid decay of correlation functions at short distances consistent with a bulk gap, concomitant with a gossamer long-range tail originating from a PEPS bulk-edge correspondence. For increasing bond dimension, (i) the rapid decrease of spurious features—SU(2) symmetry breaking and long-range tails in correlations—together with (ii) a faster convergence of the ground state energy as compared to state-of-the-art cylinder matrix-product state simulations involving far more variational parameters, prove the fundamental relevance of the PEPS ansatz for simulating systems with chiral topological order.

Dates et versions

hal-03560497 , version 1 (07-02-2022)

Identifiants

Citer

Juraj Hasik, Maarten van Damme, Didier Poilblanc, Laurens Vanderstraeten. Simulating Chiral Spin Liquids with Projected Entangled-Pair States. Phys.Rev.Lett., 2022, 129 (17), pp.177201. ⟨10.1103/PhysRevLett.129.177201⟩. ⟨hal-03560497⟩
27 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Mastodon Facebook X LinkedIn More