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

Using the infinite Projected Entangled Pair States (iPEPS) algorithm, westudy the ground-state properties of the spin-$1/2$ quantum Heisenbergantiferromagnet on the star lattice in the thermodynamic limit. By analyzingthe ground-state energy of the two inequivalent bonds of the lattice indifferent unit-cell structures, we identify two competing Valence-Bond-Solid(VBS) phases for different antiferromagnetic Heisenberg exchange couplings.More precisely, we observe (i) a VBS state which respects the full symmetriesof the Hamiltonian, and (ii) a resonating VBS state which, in contrast toprevious predictions, has a six-site unit-cell order and breaks $C_3$ symmetry.We also studied the ground-state phase diagram by measuring the ground-statefidelity and energy derivatives, and further confirmed the continuous nature ofthe quantum phase transition in the system. Moreover, an analysis of theisotropic point shows that its ground state is also a VBS as in (i), which isas well in contrast with previous predictions.

Spin-$\frac{1}{2}$ Heisenberg antiferromagnet on the star lattice: Competing valence-bond-solid phases studied by means of tensor networks