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

We investigate the quantum phase transitions of the transverse-field quantumIsing model on the triangular lattice and Sierpi\'nski fractal lattices byemploying multipartite entanglement and quantum coherence along with thequantum renormalization group method. It is shown that the quantumcriticalities of these high-dimensional models closely relate to the behaviorsof the multipartite entanglement and quantum coherence. As the thermodynamiclimit is approached, the first derivatives of multipartite entanglement andquantum coherence exhibit singular behaviors and the consistent finite-sizescaling behaviors for each lattice are also obtained from the firstderivatives. The multipartite entanglement and quantum coherence aredemonstrated to be good indicators for detecting the quantum phase transitionsin the triangular lattice and Sierpi\'nski fractal lattices. Furthermore, thefactors that determine the relations between the critical exponents and thecorrelation length exponents for these models are diverse. For the triangularlattice, the decisive factor is the spatial dimension, while for theSierpi\'nski fractal lattices, it is the Hausdorff dimension.

Multipartite entanglement, quantum coherence, and quantum criticality in triangular and Sierpi\'nski fractal lattices