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

In spin-glass systems, frustration can be adjusted continuously andconsiderably, without changing the antiferromagnetic bond probability p, byusing locally correlated quenched randomness, as we demonstrate here onhypercubic lattices and hierarchical lattices. Such overfrustrated andunderfrustrated Ising systems on hierarchical lattices in d=3 and 2 arestudied. With the removal of just 51 % of frustration, a spin-glass phaseoccurs in d=2. With the addition of just 33 % frustration, the spin-glass phasedisappears in d=3. Sequences of 18 different phase diagrams for differentlevels of frustration are calculated in both dimensions. In general,frustration lowers the spin-glass ordering temperature. At low temperatures,increased frustration favors the spin-glass phase (before it disappears) overthe ferromagnetic phase and symmetrically the antiferromagnetic phase. When anyamount, including infinitesimal, frustration is introduced, the chaoticrescaling of local interactions occurs in the spin-glass phase. Chaos increaseswith increasing frustration, as seen from the increased positive value of thecalculated Lyapunov exponent $\lambda$, starting from $\lambda =0$ whenfrustration is absent. The calculated runaway exponent $y_R$ of therenormalization-group flows decreases with increasing frustration to $y_R=0$when the spin-glass phase disappears. From our calculations of entropy andspecific heat curves in d=3, it is seen that frustration lowers in temperaturethe onset of both long- and short-range order in spin-glass phases, but is moreeffective on the former. From calculations of the entropy as a function ofantiferromagnetic bond concentration p, it is seen that the ground-state andlow-temperature entropy already mostly sets in within the ferromagnetic andantiferromagnetic phases, before the spin-glass phase is reached.

Overfrustrated and Underfrustrated Spin-Glasses in d=3 and 2: Evolution of Phase Diagrams and Chaos Including Spin-Glass Order in d=2