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 Tools annual

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 monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

By developing a canonical approach that is exact, physically transparent andsubtly different from standard methods, we present a systematic study withexact analytical calculations based on a Landau Level (LL) picture of theenergetics of a many-electron system in an interface (or film) and in thepresence of a uniform and perpendicular magnetic field, by seriously takinginto account the finite thickness of the Quantum Well (QW) along the field. Wefind internal phase transitions (i.e. at partial LL filling) for the globalmagnetization and magnetic susceptibility that are not captured by otherapproaches, and that give rise to nontrivial corrections to the standard deHaas-van Alphen periods (but in a manner that reproduces the exact quantaldeviations from the semiclassical periodicity in the limit of the full 3Dspace, a problem mostly discussed in astrophysical applications and which weindependently solve analytically as well for comparison). Additional featuresupon inclusion of Zeeman splitting are also found (such as certain energyminima that originate from the interplay of QW, Zeeman and LL Physics in thefull 3D problem), while a corresponding calculation in a Composite Fermionpicture (with Lambda-Levels) leads to new predictions on magnetic responseproperties of a fully-interacting electron liquid in a finite-thicknessinterface; these exhibit a richer and more delicate structure than the meremonotonic reduction of gaps with thickness reported long ago, a structurepossibly detectable with present day technology. Finally, by pursuing the sameline of reasoning for a topologically nontrivial system (with a relativisticspectrum, spin-orbit interactions and strong coupling between thickness andplanar motion) we find evidence that similar effects may be operative in thedimensionality crossover of 3D strong topological insulators to 2D topologicalinsulator quantum wells

The nontrivial role of interfacial or film-thickness in a magnetic field at a one-electron and a one-Composite Fermion level