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arXiv 1803.04776physics.chem-ph
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非均匀磁场作用下分子轨道和自旋效应的非微扰计算

Non-perturbative calculation of orbital- and spin effects in molecules subject to non-uniform magnetic fields

Sangita Sen, Erik I. Tellgren

摘要:

外加非均匀磁场作用于分子上会导致自旋密度非共线和自旋对称性破缺。这需要一个一般的两分量泡利旋量表示。在本文中,我们报告的实施一般Hartree-Fock方法,没有任何自旋约束,非微扰计算有限的非均匀领域。伦敦原子轨道被用来确保更快的基础收敛,以及恒定的规范位移下的磁矢量势的不变性。该实现已被应用到一个调查的联合轨道和自旋响应的磁场梯度-量化通过的anapole时刻-的一组小分子放置在一个线性变化的磁场。从理论和计算两方面研究了轨道和自旋塞曼相互作用项的相对贡献。自旋效应更强,并且对于闭合壳层分子显示出一般的顺磁行为,而轨道效应可以具有任一方向。基组收敛和Anapole磁化率张量的尺寸效应已被报道。同时也证明了混合返极磁化率张量与手征性的关系。

英文摘要:

External non-uniform magnetic fields acting on molecules induce non-collinear spin-densities and spin-symmetry breaking. This necessitates a general two-component Pauli spinor representation. In this paper, we report the implementation of a General Hartree-Fock method, without any spin constraints, for non-perturbative calculations with finite non-uniform fields. London atomic orbitals are used to ensure faster basis convergence as well as invariance under constant gauge shifts of the magnetic vector potential. The implementation has been applied to an investigate the joint orbital and spin response to a field gradient---quantified through the anapole moments---of a set of small molecules placed in a linearly varying magnetic field. The relative contributions of orbital and spin-Zeeman interaction terms have been studied both theoretically and computationally. Spin effects are stronger and show a general paramagnetic behaviour for closed shell molecules while orbital effects can have either direction. Basis set convergence and size effects of anapole susceptibility tensors have been reported. The relation of the mixed anapole susceptibility tensor to chirality is also demonstrated.

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