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Exploration of the duality between generalized geometry and extraordinary magnetoresistance

机译：广义几何形状与非凡磁阻之间的二元性探索

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摘要

We outline the duality between the extraordinary magnetoresistance (EMR), observed in semiconductor-metal hybrids, and nonsymmetric gravity coupled to a diffusive U(1) gauge field. The corresponding gravity theory may be interpreted as the generalized complex geometry of the semidirect product of the symmetric metric and the antisymmetric Kalb-Ramond field: (g_(μv), + β_(μv)). We construct the four-dimensional covarianl field theory and compute the resulting equations of motion. The equations encode the most general form of EMR within a well defined variational principle, for specific lower dimensional embedded geometric scenarios. Our formalism also reveals the emergence of additional diffusive pseudocurrents for a completely dynamic field theory of EMR. The proposed equations of motion now include terms that induce geometrical deformations in the device geometry in order to optimize the EMR. This bottom-up dual description between EMR and generalized geometry/gravity lends itself to a deeper insight into the EMR effect with the promise of potentially new physical phenomena and properties.
机译：我们概述了在半导体 - 金属杂交机中观察到的非凡磁阻（EMR）之间的二元性，并且与扩散U（1）计域耦合的非对称重力。相应的重力理论可以被解释为对称度量和反对称kalb-Ramond字段的半导体乘积的广义复杂几何形状:( G_（μV），+β_（μV））。我们构建四维考卡亚人的场理论，并计算由此产生的运动方程。对于特定的下维嵌入几何方案，该等式在明确的变化原理内对EMR的最常形式进行了编码。我们的形式主义还揭示了EMR完全动态的场地理论的额外扩散伪动脉的出现。所提出的运动方程现在包括在设备几何形状中引起几何变形的术语，以优化EMR。 EMR和广义几何/重力之间的这种自下而上的双描述将其自身倾向于在潜在的新物理现象和属性的承诺中深入了解EMR效果。

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  • 来源
    《Physical review》 |2020年第17期|174417.1-174417.11|共11页
  • 作者

    Leo Rodriguez; Shanshan Rodriguez; Sathwik Bharadwaj; L. R. Ram-Mohan;

  • 作者单位

    Department of Physics Grinnell College Grinnell Iowa 50112 USA;

    Department of Physics Grinnell College Grinnell Iowa 50112 USA;

    Department of Physics Worcester Polytechnic Institute Worcester Massachusetts 01609 USA;

    Department of Physics Worcester Polytechnic Institute Worcester Massachusetts 01609 USA;

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