Two spin liquid phases in the spatially anisotropic triangular Heisenberg model

By Seiji Yunoki, Sandro Sorella. 2006

134 citations recorded by the source corpus.

The quantum spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like {$\kappa$-(ET)$_2$Cu$_2$(CN)$_3$}. The strength of the spatial anisotropy can increase quantum fluctuations and can destabilize the magnetically ordered state leading to non conventional spin liquid phases. In order to understand these intriguing phenomena, quantum Monte Carlo methods are used to study this model system as a function of the anisotropic strength, represented by the ratio $J'/J$ between the intra-chain nearest neighbor coupling $J$ and the inter-chain one $J'$. We have found evidence of two spin liquid regions. The first one is stable for small values of the coupling $J'/J \alt 0.65$, and appears gapless and fractionalized, whereas the second one is a more conventional spin liquid with a small spin gap and is energetically favored in the region $0.65\alt J'/J \alt 0.8$. We have also shown that in both spin liquid phases there is no evidence of broken translation symmetry with dimer or spin-Peirls order or any broken spatial reflection symmetry of the lattice. The various phases are in good agreement with the experimental findings, thus supporting the existence of spin liquid phases in two dimensional quantum spin-1/2 systems.

Subfields: Condensed Matter Physics, Electronic, Optical and Magnetic Materials

View Paper: https://www.semanticscholar.org/paper/7c75a45b1574d506dda9747587b83c5f5af8230d

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In Condensed Matter Physics

1. Yi Zhou
2. T. Ng
3. K. Kanoda
4. B. Powell
5. R. McKenzie

In Electronic, Optical and Magnetic Materials

1. Yi Zhou
2. T. Ng
3. K. Kanoda
4. R. McKenzie
5. B. Powell

Citations in the corpus

• Quantum frustration in organic Mott insulators: from spin liquids to unconventional superconductors (2010, background): “…et al., 2001), meanfield RVB theory (Hayashi and Ogata, 2007), variational Monte Carlo of Gutzwiller projected BCS states (Heidarian et al., 2009; Yunoki and Sorella, 2006), pseudofermion functional renormalistion group (Reuther and Thomale, 2010) and the density matrix renormalisation group…”
• Thermal-transport measurements in a quantum spin-liquid state of the frustrated triangular magnet -(BEDT-TTF) 2 Cu 2 (CN) 3 (2009, unknown): “and one-dimensionalization by a slight distortion from the isotropic triangular lattic”
• Quantum spin liquid states (2016, background): “…spatial Fourier transformation of uk and vk (= uij and vij) connects only sites in different sublattices in a bipartite lattice (Li and Yang, 2007; Yunoki and Sorella, 2006) It has been noted by Ma (Ma, 1988) that the sum of states |(i1, j1) · · · (in, jn)〉, with iα ∈ A and jβ ∈ B, forms an…”