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arXiv · 1512.08916

Character of Matter in Holography: Spin-Orbit Interaction

Yunseok Seo·Keun-Young Kim·Kyung Kiu Kim·Sang-Jin Sin
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Abstract

Gauge/Gravity duality as a theory of matter needs a systematic way to characterise a system. We suggest a `dimensional lifting' of the least irrelevant interaction to the bulk theory. As an example, we consider the spin-orbit interaction, which causes magneto-electric interaction term. We show that its lifting is an axionic coupling. We present an exact and analytic solution describing diamagnetic response. Experimental data on annealed graphite shows a remarkable similarity to our theoretical result. We also find an analytic formulas of DC transport coefficients, according to which, the anomalous Hall coefficient interpolates between the coherent metallic regime with $ρ_{xx}^{2}$ and incoherent metallic regime with $ρ_{xx}$ as we increase the disorder parameter $β$. The strength of the spin-orbit interaction also interpolates between the two scaling regimes.

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Yunseok Seo, Keun-Young Kim, Kyung Kiu Kim, Sang-Jin Sin. 2015-12-30. Character of Matter in Holography: Spin-Orbit Interaction. https://doi.org/10.1016/j.physletb.2016.05.059

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