Splitting of the ground state manifold of classical Heisenberg spins as couplings are varied

Chandra S.

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Splitting of the ground state manifold of classical Heisenberg spins as couplings are varied

机译：随着耦合的变化，经典海森堡自旋的基态流形分裂

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We construct clusters of classical Heisenberg spins with two-spin S→i.S→j-type interactions for which the ground state manifold consists of disconnected pieces. We extend the construction to lattices and couplings for which the ground state manifold splits into an exponentially large number of disconnected pieces at a sharp point as the interaction strengths are varied with respect to each other. In one such lattice we construct, the number of disconnected pieces in the ground state manifold can be counted exactly.

机译：我们构造了具有两个自旋S→i.S→j型相互作用的经典海森堡自旋簇，其基态流形由不连续的部分组成。我们将结构扩展到晶格和耦合，当相互作用强度相对变化时，基态歧管会在一个尖点将基态歧管分解为成指数数量的断开部分。在我们构建的一个这样的晶格中，基态歧管中的断开连接数可以精确计算。

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《Physica, A. Statistical mechanics and its applications》 |2010年第18期|共4页
作者
Chandra S.;
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正文语种 eng
中图分类物理学;
关键词
Classical Heisenberg spins; Ground state manifold;

机译：经典海森堡自旋;基态流形;

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专利

1. Splitting of the ground state manifold of classical Heisenberg spins as couplings are varied [J] . Chandra S. Physica, A. Statistical mechanics and its applications . 2010,第18期

机译：随着耦合的变化，经典海森堡自旋的基态流形分裂
2. Ground State Selection and Spin-Liquid Behaviour in the Classical Heisenberg Model on the Breathing Pyrochlore Lattice [J] . Benton Owen, Shannon Nic Journal of the Physical Society of Japan . 2015,第10期

机译：呼吸性烧绿石格子上经典海森堡模型的基态选择和自旋液体行为
3. Classical ground states of symmetric Heisenberg spin systems [J] . Schmidt HJ., Luban M. Journal of Physics, A. Mathematical and General: A Europhysics Journal . 2003,第23期

机译：对称海森堡自旋系统的经典基态
4. High Performance Monte Carlo and Time-Stepping Dynamics for the Classical Spin Heisenberg Model on GPUs [C] . K. A. Hawick, D. P. Playne International Conference on Modeling, Simulation and Visualization Methods . 2012

机译：高性能蒙特卡罗和古典旋转Heisenberg模型的GPU模型的时间步进动力学
5. Study of the spin-phonon coupling in the antiferromagnetic Heisenberg three-leg ladder. [D] . Shahin, Khalada. 2007

机译：反铁磁海森堡三腿阶梯中自旋声子耦合的研究。
6. Towards photonic quantum simulation of ground states of frustrated Heisenberg spin systems [O] . Xiao-song Ma, Borivoje Dakić, Sebastian Kropatschek, -1

机译：迈向受挫海森堡自旋系统基态的光子量子模拟
7. Splitting of the ground state manifold of classical Heisenberg spins as couplings are varied [O] . Chandra, Samarth 2010

机译：经典海森堡自旋的基态流形的分裂为联轴器多种多样
8. Linear Chain of Classical Heisenberg Spins with Three or Four Spin Interactions [R] . Barma, M. 1979

机译：具有三个或四个自旋相互作用的经典海森堡旋转线性链

Splitting of the ground state manifold of classical Heisenberg spins as couplings are varied

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