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

String correlations are investigated in an infinite-size XXZ spin-1 chain. Byusing the infinite matrix product state representation, we calculate along-range string order. In the XY phase, the string correlations decay withina relatively very large lattice distance, which makes a finite-size studydifficult to verify the non-existence of the string order. Thus, in the Haldanephase, the non-vanishing string correlations in the limit of a very largedistance allow to characterize the phase boundaries to the XY phase and theNeel phase, which implies that the transverse long-range string order is theorder parameter for the Haldane phase. In addition, the singular behaviors ofthe von Neumann entropy and the fidelity per lattice site are shown to captureclearly the phase transition points that are consistent with the results fromthe string order. The estimated critical points including a BKT transition fromthe XY phase to the Haldane phase agree well with the previous results:$\Delta_{c2} = 0$ for the XY-Haldane phase transition and $\Delta_{c3} = 1.185$for the Haldane-N'eel phase transition from the density renormalization group.From a finite-entanglement scaling of the von Neumann entropy with respect tothe truncation dimension, the central charges are found to be $c \simeq 1.0$ at$\Delta_{c2} = 0$ and $c \simeq 0.5$ at $\Delta_{c3} = 1.185$, respectively,which shows that the XY-Haldane phase transition at $\Delta_{c2} = 0$ belongsto the Heisenberg universality class, while the Haldane-Neel phase transitionat $\Delta_{c2} = 1.185$ belongs to the two-dimensional classical Isinguniversality class. It is also shown that, the long-range order parameters andthe von Neumann entropy, as well as the fidelity per site approach, can beapplied to characterize quantum phase transitions as a universal phasetransition indicator for one-dimensional lattice many-body systems.

Non-local correlations in the Haldane phase for an XXZ spin-1 chain: A perspective from infinite matrix product state representation