Abstract
The DC resistivity of charge density waves weakly-pinned by disorder is controlled by diffusive, incoherent processes rather than slow momentum relaxation. The corresponding incoherent conductivity can be computed in the limit of zero disorder. We compute this transport coefficient in holographic spatially modulated breaking translations spontaneously. As a by-product of our analysis, we clarify how the boundary heat current is obtained from a conserved bulk current, defined as a suitable generalization of the Iyer-Wald Noether current of the appropriate Killing vector.
Highlights
In this paper we study a family of actions in a (3 + 1)-dimensional bulk spacetime
The DC resistivity of charge density waves weakly-pinned by disorder is controlled by diffusive, incoherent processes rather than slow momentum relaxation
Drawing on [31, 32], we show that a conserved bulk current can be defined such that its time component asymptotes to the time component of the boundary heat current
Summary
In this paper we study a family of actions in a (3 + 1)-dimensional bulk spacetime. Our starting point is the Einstein-Maxwell-dilaton action, which reads as follows. We will focus on asymptotically locally AdS4 solutions to (2.3)–(2.4) which have a regular Killing event horizon in the IR and exhibit spontaneous translation symmetry breaking in one of the field theory directions that we take to be x. To this end we adopt the following Ansatz [28]. Δvs is a constant which is not fixed by the background equations It represents the freedom for the CDW to slide and is directly connected to the existence of a Goldstone mode due to spontaneous translation symmetry breaking [13]. This is the gauge we work with for simplicity in the remainder of this work
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