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 consider independent electrons in a periodic crystal in their groundstate, and turn on a uniform electric field at some prescribed time. Werigorously define the current per unit volume and study its properties usingboth linear response and adiabatic theory. Our results provide a unifiedframework for various phenomena such as the quantification of Hall conductivityof insulators with broken time-reversibility, the ballistic regime of electronsin metals, Bloch oscillations in the long-time response of metals, and thestatic conductivity of graphene. We identify explicitly the regime in whicheach holds.

Coherent electronic transport in periodic crystals