Exact spin-cluster ground states in a mixed diamond chain

Kenichi Takano; Hidenori Suzuki; Kazuo Hida

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Exact spin-cluster ground states in a mixed diamond chain

机译：混合钻石链中确切的自旋簇基态

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The mixed diamond chain is a frustrated Heisenberg chain composed of successive diamond-shaped units with two kinds of spins of magnitudes S and S/2 (S: integer). Ratio λ of two exchange parameters controls the strength of frustration. With varying λ, the Haldane state and several spin-cluster states appear as the ground state. A spin-cluster state is a tensor product of exact local eigenstates of cluster spins. We prove that a spin-cluster state is the ground state in a finite interval of λ. For S= 1, we numerically determine the total phase diagram consisting of five phases.

机译：混合菱形链是沮丧的海森堡链，由连续的菱形单元组成，具有两个自旋，分别为S和S / 2（S：整数）。两个交换参数的比率λ控制着挫折的强度。随着λ的变化，霍尔丹状态和几个自旋簇状态显示为基态。自旋簇状态是簇自旋的精确局部本征态的张量积。我们证明自旋簇状态是有限间隔λ中的基态。对于S = 1，我们用数字确定由五个相位组成的总相位图。

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来源
《Physical review》 |2009年第10期|104410.1-104410.5|共5页
作者
Kenichi Takano; Hidenori Suzuki; Kazuo Hida;
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作者单位

Toyota Technological Institute, Tenpaku-ku, Nagoya 468-8511, Japan;

Toyota Technological Institute, Tenpaku-ku, Nagoya 468-8511, Japan Department of Physics, College of Humanities and Sciences, Nihon University, Setagaya-ku, Tokyo 156-8550, Japan;

Division of Material Science, Graduate School of Science and Engineering, Saitama University, Saitama, Saitama 338-8570, Japan;

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quantized spin models; spin chain models; magnetic phase boundaries (including magnetic transitions, metamagnetism, etc.);

机译：量化自旋模型自旋链模型;磁相边界（包括磁跃迁;超磁性等）;

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1. The exact ground state and the origin of the spin gap in the distorted mixed spin (1, 1/2) diamond chain [J] . Jiang J.-J., Liu Y.-J., Tang F., Physica, B. Condensed Matter . 2012,第24期

机译：扭曲的混合自旋（1，1/2）钻石链中确切的基态和自旋间隙的起源
2. Exact Many-Electron Ground Stateson Diamond and Triangle Hubbard Chains [J] . Zsolt GULACSI, ArnoKAMPF, DieterVOLLHARDT Progress of Theoretical Physics. Supplement . 2009,第176期

机译：金刚石和三角形哈伯链上的精确多电子基态
3. Exact Thermodynamic Properties of (1,1/2) Mixed Diamond Chains with Strong Single-Site Anisotropy [J] . Journal of the Physical Society of Japan . 2019,第9期

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4. Utilizing the Fact that Among All Trial Functions Orthogonal to an Approximate Ground State, Φ~0, the closest Φ~(1+), to the Exact First Excited State, ψ~1, has lower energy than the Exact: EΦ~(1+) ＜ Eψ~1 [C] . Naoum C. Bacalis International Conference of Computational Methods in Sciences and Engineering 2007(ICCMSE 2007); 20070925-30; Corfu(GR) . 2007

机译：利用事实，即在正交于近似基态Φ〜0，最接近的Φ〜（1+）与最精确的第一激发态ψ〜1正交的所有试验函数中，其能量比精确的E Φ〜（1+）＜E ψ〜1
5. Computation simulation of polyolefins and Monte Carlo simulation of RIS chains on a high-coordination diamond lattice. [D] . Akten, Ebru Demet. 2000

机译：高配位金刚石晶格上聚烯烃的计算模拟和RIS链的蒙特卡洛模拟。
6. Studies of mixed-chain diacyl phosphatidylcholines with highly asymmetric acyl chains: a Fourier transform infrared spectroscopic study of interfacial hydration and hydrocarbon chain packing in the mixed interdigitated gel phase. [O] . R N Lewis, R N McElhaney 1993

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7. Exact spin-cluster ground states in a mixed diamond chain [O] . Takano, Ken'ichi, Suzuki, Hidenori, Hida, Kazuo 2009

机译：混合金刚石链中的精确自旋簇基态

Exact spin-cluster ground states in a mixed diamond chain

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