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Aharonov–Casher effect and persistent spin currents in a Coulomb-type potential induced by Lorentz symmetry breaking effects
Communications in Theoretical Physics ( IF 3.1 ) Pub Date : 2020-09-28 , DOI: 10.1088/1572-9494/aba258
K Bakke 1 , H Belich 2
Affiliation  

We investigate quantum effects on a nonrelativistic neutral particle with a permanent magnetic dipole moment that interacts with an electric field. This neutral particle is also under the influence of a background that breaks the Lorentz symmetry. We focus on the Lorentz symmetry violation background determined by a space-like vector field. Then, we show that the effects of the violation of Lorentz symmetry can yield an attractive Coulomb-type potential. Furthermore, we obtain the bound state solutions to the Schrödinger–Pauli equation and show that the spectrum of energy is a function of the Aharonov–Casher geometric quantum phase. Finally, we discuss the arising of persistent spin currents.

中文翻译:

洛伦兹对称破坏效应引起的库伦型势中的阿哈洛诺夫–凯瑟效应和持续自旋电流

我们研究与电场相互作用的永久磁偶极矩对非相对论中性粒子的量子效应。该中性粒子也受到破坏洛伦兹对称性的背景的影响。我们关注由类空间矢量场确定的洛伦兹对称违反背景。然后,我们证明了违反洛伦兹对称性的影响可以产生有吸引力的库仑型势。此外,我们获得了Schrödinger-Pauli方程的束缚态解,并证明了能量谱是Aharonov-Casher几何量子相的函数。最后,我们讨论了持续自旋电流的产生。
更新日期:2020-09-29
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