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

We study a model of two-dimensional classical dimers on the square latticewith strong geometric constraints (there is exactly one bond with the nearestpoint for every point in the lattice). This model corresponds to the quantumdimer model suggested by D.S. Rokhsar and S.A. Kivelson (1988). We use thedirected-loop algorithm to show the system undergoes a Berezinskii-KostelitzThousless transition (BKT transition) in finite temperatures. After that, if wedestroy the geometric constraint of dimers, the topological transition willtransfer to a quasi one-order transition. For the dimer updates, we alsointroduce a new cluster updating algorithm called the edged cluster algorithm.By this method, we succeed in rapidly traversing the winding (topological)sections uniformly and widening the effective matrical ensemble to include moretopological sections.

The Breaking of Geometric Constraint of Classical Dimers on the Square Lattice