Ground-state energy and spin gap of spin-1/2 Kagomé-Heisenberg antiferromagnetic clusters:Large-scale exact diagonalization results

Andreas M. Laeuchli; julien Sudan; Erik S. Sørensen

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Ground-state energy and spin gap of spin-1/2 Kagomé-Heisenberg antiferromagnetic clusters:Large-scale exact diagonalization results

机译：自旋1/2Kagomé-Heisenberg反铁磁团簇的基态能和自旋间隙：大规模精确对角化结果

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We present a comprehensive list of the ground-state energies and the spin gaps of finite Kagome clusters with up to 42 spins obtained using large-scale exact diagonalization techniques. This represents the current limit of this exact approach. For a fixed number of spins N, we study several cluster shapes under periodic boundary conditions in both directions resulting in a toroidal geometry. The clusters are characterized by their side length and diagonal as well as the shortest "Manhattan" diameter of the torii. A finite-size scaling analysis of the ground-state energy as well as the spin gap is then performed in terms of the shortest toroidal diameter as well as the shortest "Manhattan" diameter. The structure of the spin-spin correlations further supports the importance of short loops wrapping around the torii.

机译：我们提出了使用大规模精确对角化技术获得的多达42个自旋的有限Kagome簇的基态能量和自旋间隙的综合列表。这代表了这种精确方法的当前限制。对于固定数量的自旋N，我们研究了在周期性边界条件下在两个方向上产生环形几何形状的几种簇形状。这些簇的特征是它们的边长和对角线以及鸟居的最短“曼哈顿”直径。然后，根据最短的环形直径和最短的“曼哈顿”直径，对基态能量以及自旋间隙进行有限大小的缩放分析。自旋-自旋相关性的结构进一步支持了环绕环面的短循环的重要性。

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《Physical review》 |2011年第21期|p.212401.1-212401.4|共4页
作者
Andreas M. Laeuchli; julien Sudan; Erik S. Sørensen;
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作者单位

Max-Planck-lnstitut fuer Physik komplexer Systeme, Noethnitzer Str.38, D-01187 Dresden, Germany,Institut fuer Theoretische Physik, Universitaet Innsbruck, A-6020 Innsbruck, Austria;

Institut Romand de Recherche Numérique en Physique des Materiaux (IRRMA), CH-1015 Lausanne, Switzerland;

Department of Physics and Astronomy, McMaster University, Hamilton, Ontario L8S 4MI, Canada;

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正文语种 eng
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quantized spin models; numerical simulation studies;

机译：量化自旋模型数值模拟研究;

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2. Exact diagonalization study of the antiferromagnetic spin-1/2 Heisenberg model on the square lattice in a magnetic field [J] . Andreas Luescher, Andreas M. Laeuchli Physical review . 2009,第19期

机译：磁场中方格上反铁磁自旋1/2 Heisenberg模型的精确对角化研究
3. Low-energy properties of spin-1/2 two-leg antiferromagnetic Heisenberg ladders with ferromagnetic diagonal coupling - art. no. 012401 [J] . Zhu NS., Chen CF., Wang XQ. Physical Review, B. Condensed Matter . 2001,第1期

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5. Frustrated spin-1/2 two-leg and three-leg antiferromagnetic Heisenberg ladders. [D] . Zhu, Ningsheng. 2000

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6. Identifying spinon excitations from dynamic structure factor of spin-1/2 Heisenberg antiferromagnet on the Kagome lattice [O] . W. Zhu, Shou-shu Gong, D. N. Sheng 2019

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7. Ground-State Energy and Spin Gap of Spin-1/2 Kagome Heisenberg Antiferromagnetic Clusters: Large Scale Exact Diagonalization Results [O] . Läuchli, A. M., Sudan, J., Sørensen, E. S. 2011

机译：spin-1/2 Kagome Heisenberg的基态能量和自旋间隙反铁磁团簇：大规模精确对角化结果
8. Spin-spin correlations in the one-dimensional spin-1/2 antiferromagnetic Heisenberg chain. [R] . Lin, H. Q., Campbell, D. K. 1990

机译：一维自旋-1/2反铁磁海森堡链中的自旋 - 自旋相关性。

Ground-state energy and spin gap of spin-1/2 Kagomé-Heisenberg antiferromagnetic clusters:Large-scale exact diagonalization results

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