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

Non-perturbative constraints on many body physics--such as the famousLieb-Schultz-Mattis theorem--are valuable tools for studying stronglycorrelated systems. To this end, we present a number of non-perturbativeresults that constrain the low-energy physics of systems having conserveddipole moments. We find that for these systems, a unique translationallyinvariant gapped ground state is only possible if the polarization of thesystem is integer. Furthermore, if a lattice system also has $U(1)$ subsystemcharge conservation symmetry, a unique gapped ground state is only possible ifthe particle filling along these subsystems is integer. We also apply thesemethods to spin systems, and determine criteria for the existence of a new typeof magnetic response plateau in the presence of a non-uniform magnetic field.Finally, we formulate a version of Luttinger's theorem for 1D systemsconsisting of dipoles.

Lieb Schultz Mattis-Type Theorems and Other Non-perturbative Results for Strongly Correlated Systems with Conserved Dipole Moments