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Spin-12 Heisenberg antiferromagnet on the star lattice: Competing valence-bond-solid phases studied by means of tensor networks

2018/07/31 by Saeed S. Jahromi, Román Orús, Roman Orus
Mathematics · Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Geometry #Ground state #Lattice (music) #Mathematics #Physics #Physics of Superconductivity and Magnetism #Quantum many-body systems #Quantum mechanics #Tensor (intrinsic definition) #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.98.155108

published as Phys. Rev. B 98, 155108 (2018) · 9 pages, 11 figures

openalex publication_date 2018/10/03 · arxiv created 2018/10/10 · arxiv updated 2018/10/11 · openalex created_date 2018/10/12 · openalex updated_date 2026/08/05

Abstract

Frustrated quantum antiferromagnetism is an important physical phenomena leading to many of the key properties of quantum matter, such as quantum spin liquids and topological order. Here, the authors employ novel techniques based on tensor network methods for the triangle-honeycomb lattice in order to compute ground-state properties of a frustrated quantum antiferromagnet on the star lattice, with high accuracy, in the thermodynamic limit. Importantly, their findings contradict some of the existing results in the literature on this model. In particular, they find a new resonating valence-bond solid (VBS) phase that had not been observed before, as well as a different VBS structure at the isotropic point than the one previously conjectured by other methods. Moreover, by using tensor network techniques, they also determine the existence of a continuous quantum phase transition in the system between different VBS orders.

Citations