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

The de Almeida-Thouless (AT) line in Ising spin glasses is the phase boundaryin the temperature $T$ and magnetic field $h$ plane below which replicasymmetry is broken. Using perturbative renormalization group (RG) methods, weshow that when the dimension $d$ of space is just above $6$ there is amulticritical point (MCP) on the AT line, which separates a low-field regime,in which the critical exponents have mean-field values, from a high-fieldregime where the RG flows run away to infinite coupling strength; as $d$approaches $6$ from above, the location of the MCP approaches the zero-fieldcritical point exponentially in $1/(d-6)$. Thus on the AT line perturbationtheory for the critical properties breaks down at sufficiently large magneticfield even above $6$ dimensions, as well as for all non-zero fields when $d\leq6$ as was known previously. We calculate the exponents at the MCP to firstorder in $\varepsilon=d-6>0$. The fate of the MCP as $d$ increases from justabove 6 to infinity is not known.

Multicritical point on the de Almeida-Thouless line in spin glasses in $d>6$ dimensions