TL;DR
This paper explores the holographic properties of Lifshitz black branes, analyzing electric conductivities and impurity effects in a non-relativistic medium with two charge carriers, revealing temperature and coupling-dependent behaviors.
Contribution
It provides a holographic analysis of electric conductivities in Lifshitz media, highlighting the impact of impurity and coupling parameters on electrical properties.
Findings
Conductivity from Lifshitz matter scales with temperature squared.
Impurity effects depend critically on the bulk coupling parameter g.
High-temperature impurity can significantly alter electric properties.
Abstract
On the Lifshitz black brane geometry of an Einstein-Maxwell-dilaton gravity, we holographically investigate electric DC conductivities and the role of impurity in a non-relativistic Lifshitz medium with two different charge carriers, impurity and Lifshitz matter. The conductivity carried by Lifshitz matter is proportional to the square of temperature, while that carried by impurity crucially depends on the bulk coupling parameter \g. For \g < -2, impurity at high temperature can change the electric property of the Lifshitz medium significantly so that the Lifshitz matter with impurity can show a totally different electric property from the pure Lifshitz matter.
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