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Interplay between spatial anisotropy and next-nearest-neighbor exchange interactions in the triangular Heisenberg model

2020/09/11 by M. G. Gonzalez, E. A. Ghioldi, C. J. Gazza +2
Physics and Astronomy · #Advanced Condensed Matter Physics #Anisotropy #Antiferromagnetism #Condensed matter physics #Heisenberg model #Hexagonal lattice #Isotropy #Lattice (music) #Mean field theory #Phase (matter) #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum mechanics #Spin (aerodynamics) #Statistical physics #Theoretical and Computational Physics #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.102.224410

published as Phys. Rev. B 102, 224410 (2020) · 8 pages, 8 figures

arxiv created 2020/09/11 · openalex created_date 2020/09/21 · openalex publication_date 2020/12/10 · arxiv updated 2020/12/14 · openalex updated_date 2026/08/05

Abstract

We investigate the interplay between spatial anisotropy and further exchange interactions in the spin-(1)/(2) Heisenberg antiferromagnetic model on a triangular lattice. We use the Schwinger boson theory by including Gaussian fluctuations above the mean-field approach. The phase diagram exhibits a strong reduction of the long-range collinear and incommensurate spiral regions with respect to the mean-field ones. This reduction is accompanied by the emergence of its short-range order counterparts, leaving an ample room for zero-flux and nematic spin-liquid regions. Remarkably, within the neighborhood of the spatially isotropic line, there is a range where the spirals are so fragile that only the commensurate 120^\ensuremath∘ N'eel ones survive. The good agreement with recent variational Monte Carlo predictions gives support to the rich phase diagram induced by spatial anisotropy.

Citations