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

The two-component cold atom systems with anisotropic hopping amplitudes canbe phenomenologically described by a two-dimensional Ising-XY coupled modelwith spatial anisotropy. At low temperatures, theoretical predictions [Phys.Rev. A 72, 053604 (2005)] and [arXiv:0706.1609] indicate the existence of atopological ordered phase characterized by Ising and XY disorder but with 2XYordering. However, due to ergodic difficulties faced by Monte Carlo methods atlow temperatures, this topological phase has not been numerically explored. Wepropose a linear cluster updating Monte Carlo method, which flips spins withoutrejection in the anisotropy limit but does not change the energy. Using thisscheme and conventional Monte Carlo methods, we succeed in revealing the natureof topological phases with half-vortices and domain walls. In the constructedglobal phase diagram, Ising and XY type transitions are very close to eachother and differ significantly from the schematic phase diagram reportedearlier. We also propose and explore a wide range of quantities, includingmagnetism, superfluidity, specific heat, susceptibility, and even percolationsusceptibility, and obtain consistent results. Furthermore, we observefirst-order transitions characterized by common intersection points inmagnetizations for different system sizes, as opposed to the conventional phasetransition where Binder cumulants of various sizes share common intersections.The results are useful to help cold atom experiments explore the half-vortextopological phase.

Emergent topological ordered phase for the Ising-XY Model revealed by cluster-updating Monte-Carlo method