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

The study of topological band insulators has revealed fascinating phasescharacterized by band topology indices, harboring extraordinary boundary modesprotected by anomalous symmetry actions. In strongly correlated systems, wherethe traditional notion of electronic bands becomes obsolete, it has beenestablished that topological insulator phases persist as stable phases,separate from trivial insulators. However, due to the inability to express theground states of such systems as Slater determinants, the formulation ofgeneric variational wavefunctions for numerical simulations is highlydesirable. In this paper, we tackle this challenge by developing acomprehensive framework for fermionic tensor network states. Starting fromsimple assumptions, we obtain possible sets of tensor equations for any givensymmetry group, capturing consistent relations governing symmetrytransformation rules on tensor legs. We then examine the connections betweenthese tensor equations and topological insulators by construing edge theoriesand extracting quantum anomaly data from each set of tensor equations. Byexhaustively exploring all possible sets of equations, we achieve a systematicclassification of topological insulator phases. Imposing the solutions of agiven set of equations onto local tensors, we obtain generic variationalwavefunctions for corresponding topological insulator phases. Our methodologyprovides a crucial first step towards simulating topological insulators instrongly correlated systems. We discuss the limitations and potentialgeneralizations of our results, paving the way for further advancements in thisfield.

Unveiling Correlated Topological Insulators through Fermionic Tensor Network States -- Classification, Edge Theories and Variational Wavefunctions