Probing the stability of the spin-liquid phases in the Kitaev-Heisenberg model using tensor network algorithms

2014/08/31 by Juan Osorio Iregui, Philippe Corboz, Matthias Troyer · 4 citations
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Ansatz #Computer science #Ferromagnetism #Heisenberg model #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Observable #Phase (matter) #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Stability (learning theory) #Symmetry (geometry) #Tensor (intrinsic definition) #Thermodynamic limit #Thermodynamics #Zigzag #cond-mat.str-el #physics.comp-ph

paper · pdf · doi:10.1103/physrevb.90.195102

published as Phys. Rev. B 90, 195102 (2014) · 9 pages, 7 figures. Adjusted notation in equations 4-8. Added bond labeling to lower panel in figure 1. Included missing acknowledgements

openalex publication_date 2014/11/03 · arxiv created 2014/11/27 · arxiv updated 2014/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the extent of the spin liquid phases in the Kitaev-Heisenberg model using infinite projected entangled-pair states tensor network ansatz wave functions directly in the thermodynamic limit. To assess the accuracy of the ansatz wave functions, we perform benchmarks against exact results for the Kitaev model and find very good agreement for various observables. In the case of the Kitaev-Heisenberg model, we confirm the existence of six different phases: N'eel, stripy, ferromagnetic, zigzag, and two spin liquid phases. We find finite extents for both spin liquid phases and discontinuous phase transitions connecting them to symmetry-broken phases.

Citations

• Tensor-entanglement renormalization group approach as a unified method for symmetry breaking and topological phase transitions
• TOPOLOGICAL ORDERS IN RIGID STATES
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