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

Motivated by the magnetic properties of the spin-chain compoundsLiCuSbO$_4$$\equiv$LiSbCuO$_4$ and Rb$_2$Cu$_2$Mo$_3$O$_{12}$, we study theground state of the Heisenberg chain with dimerized nearest-neighborferromagnetic (FM)($J_1, J_1^\prime<0$) and next-nearest-neighborantiferromagnetic ($J_2>0$) couplings. Using the density-matrix renormalizationgroup technique and spin-wave theory we find a first-order transition between afully-polarized FM and an incommensurate spiral state at$2\alpha=\beta/(1+\beta)$, where $\alpha$ is the frustration ratio $J_2/|J_1|$and $\beta$ the degree of dimerization $J_1^\prime/J_1$.In the singlet spiralstate the spin-gap is vanishingly small in the vicinity of the FM transition,corresponding to a situation of LiCuSbO$_4$. For larger $\alpha$, correspondingto Rb$_2$Cu$_2$Mo$_3$O$_{12}$, and smaller $\beta$ there is a crossover fromthis frustration induced incommensurate state to anAffleck-Lieb-Kennedy-Tasaki-type valence bond solid state with substantialspin-gaps.

physical review. b./physical review. b

Cross-over from an incommensurate singlet spiral state with a  vanishingly small spin-gap to a valence bond solid state in dimerized  frustrated ferromagnetic spin-chains