English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We study thermodynamic and transport observables of quantum critical statesthat arise in the infra-red limit of holographic renormalisation group flows.Although these observables are expected to exhibit quantum critical scaling,there are a number of cases in which their frequency and temperaturedependences are in apparent contradiction with scaling theories. We study twodifferent classes of examples, and show in both cases that the apparentbreakdown of scaling is a consequence of the dependence of observables on anirrelevant deformation of the quantum critical state. By assigning scalingdimensions to the near-horizon observables, we formulate improved scalingtheories that are completely consistent with all explicit holographic resultsonce the dependence on the dangerously irrelevant coupling is properlyaccounted for. In addition to governing thermodynamic and transport phenomenain these states, we show that the dangerously irrelevant coupling also controlslate-time equilibration, which occurs at a rate parametrically slower than thetemperature $1/\tau_{eq}\ll T$. At very late times, transport isdiffusion-dominated, with a diffusivity that can be written simply in terms of$\tau_{eq}$ and the butterfly velocity, $D\sim v_B^2\tau_{eq}$. We conjecturethat in such cases there exists a long-lived, propagating collective mode withvelocity $v_s$, and in this case the relation $D=v_s^2\tau_{eq}$ holds exactlyin the limit $\tau_{eq} T\gg1$.

Impact of irrelevant deformations on thermodynamics and transport in holographic quantum critical states