拓扑绝缘球壳包围的半球形电容器的磁电效应
The magnetoelectric effect due to a semispherical capacitor surrounded by a spherical topologically insulating shell
摘要：
本文研究了由两个半球形的理想导电板组成的电容器所产生的磁电效应，该电容器由两个具有电势差的半球形的理想导电板组成，并被一个拓扑绝缘材料的球壳所包围。修正的麦克斯韦方程组求解的耦合的电和磁标量位使用球坐标和近似的有效磁电耦合的精细结构常数的顺序。重点放在计算的磁场为几个相关的配置，旨在提高测量这个领域的可能性。我们获得的幅度属于基于金刚石中的氮空位中心的磁力计的灵敏度范围内，以及使用扫描SQUID磁力测量的设备。
英文摘要：
We consider the magnetoelectric effect produced by a capacitor formed by two semispherical perfectly conducting plates subjected to a potential difference and surrounded by a spherical shell of a topologically insulating material. The modified Maxwell equations are solved in terms of coupled electric and magnetic scalar potentials using spherical coordinates and in the approximation where the effective magnetoelectric coupling is of the order of the fine structure constant. The emphasis is placed in the calculation of the magnetic field for several relevant configurations designed to enhance the possibility of measuring this field. The magnitudes we obtain fall within the sensitivities of magnetometers based upon nitrogen-vacancy centers in diamond as well as of devices using scanning SQUID magnetometry.
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