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 Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

There exists many quantum or topological phases in Nature. One well knownorganization principle is through various quantum or topological phasestransitions between or among these phases. Another is through either completeor in-complete devil staircases in their quantized forms. Here, we show thatboth classes of organization principle appear in an experimentally accessiblesystem: strongly interacting spinor bosons subject to any of the linearcombinations of the Rashba and Dresselhaus spin-orbit coupling (SOC) in thespace of the two SOC parameters $ ( \alpha, \beta) $ in a square lattice. Inthe strong coupling limit, it leads to a new quantum spin model called RotatedFerromagnetic Heisenberg model (RFHM). The RFHM leads to rich andunconventional magnetic phases even in a bipartite lattice. For the firstclass, by identifying a suitable low energy mode, we investigate a new quantumLifshitz transition from the Y-x to the IC-SkX-y phase. For the second class,we introduce the topological rational and irrational winding numbers $ W $ tocharacterize the incomplete or complete devil staircases and also perform theirquantizations. The IC-YZ-x/LQx phases form a Cantor set with a fractaldimension along the complete devil staircase. They also take most of measuresin the incomplete devil staircases when $ \beta \ll \alpha $. Quantum chaos andquantum information scramblings along the diagonal line $ \alpha=\beta $ arediscussed. Implications on un-conventional magnetic ordered phases detected inthe 4d- or 5d-orbital strongly correlated materials with SOC and in the currentor near future cold atom systems are presented.

Two classes of organization principle: quantum/topological phase  transitions meet complete/in-complete devil staircases and their experimental  realizations