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 develop a nonperturbative approach to the bulk polarization of crystallineelectric insulators in $d\geq1$ dimensions. Formally, we define polarizationvia the response to background fluxes of both charge and lattice translationsymmetries.  In this approach, the bulk polarization is related to properties of magneticmonopoles under translation symmetries. Specifically, in $2d$ the monopole is asource of $2\pi$-flux, and the polarization is determined by the crystalmomentum of the $2\pi$-flux. In $3d$ the polarization is determined by theprojective representation of translation symmetries on Dirac monopoles. Ourapproach also leads to a concrete scheme to calculate polarization in $2d$,which in principle can be applied even to strongly interacting systems. Foropen boundary condition, the bulk polarization leads to an altered `boundary'Luttinger theorem (constraining the Fermi surface of surface states) and alsoto modified Lieb-Schultz-Mattis theorems on the boundary, which we derive.

Electric polarization as a nonquantized topological response and boundary Luttinger theorem