科研之友
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摘要
We study holographic momentum relaxation in the limit of a large number of spacetime dimensions D. For an axion model we find that momentum conservation is restored as D becomes large. To compensate we scale the strength of the sources with D so that momentum is relaxed even at in finite D. We analytically obtain the quasi-normal modes which control electric and heat transport, and give their frequencies in a 1 / D expansion. We also obtain the AC thermal conductivity as an expansion in 1 / D, which at leading order takes Drude form. To order 1 / D our analytical result provides a reasonable approximation to the AC conductivity even at D = 4, establishing large D as a practical method in this context. As a further application, we discuss the signature of the transition from coherent to incoherent behaviour known to exist in the system for finite D.
- 出版日期2016-6-22
