Ground-state phase diagram of the quantumJ1−J2model on the honeycomb lattice

2011/09/30 by Fabio Mezzacapo, Massimo Boninsegni · 5 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Ansatz #Energy (signal processing) #Geometry #Ground state #Honeycomb #Lattice (music) #Mathematical physics #Mathematics #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.85.060402

published as Phys. Rev. B 85, 060402 (2012) · 5 pages, 1 table, 5 figures

arxiv created 2012/02/08 · openalex publication_date 2012/02/08 · arxiv updated 2012/02/10 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the ground-state phase diagram of the quantum J₁\ensuremath-J₂ model on the honeycomb lattice by means of an entangled-plaquette variational ansatz. Values of energy and relevant order parameters are computed in the range 0\ensuremath≤J₂/J₁\ensuremath≤1. The system displays classical order for J₂/J₁\ensuremath\lesssim0.2 (N'eel) and for J₂/J₁\ensuremath\gtrsim0.4 (collinear). In the intermediate region, the ground state is disordered. Our results show that the reduction of the half-filled Hubbard model to the model studied here does not yield accurate predictions.

Citations

• Approximating strongly correlated wave functions with correlator product states
• Z2spin liquid and chiral antiferromagnetic phase in the Hubbard model on a honeycomb lattice
• Variational study of a mobile hole in a two-dimensional quantum antiferromagnet using entangled-plaquette states
• Site dilution of quantum spins in the honeycomb lattice

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