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

We study the stability of the Wilson-Fisher fixed point of the quantum$\mathrm{O}(2N)$ vector model to quenched disorder in the large-$N$ limit.While a random mass is strongly relevant at the Gaussian fixed point, itseffect is screened by the strong interactions of the Wilson-Fisher fixed point.This enables a perturbative renormalization group study of the interplay ofdisorder and interactions about this fixed point. We show that, in contrast tothe spiralling flows obtained in earlier double-$\epsilon$ expansions, thetheory flows directly to a quantum critical point characterized by finitedisorder and interactions. The critical exponents we obtain for this transitionare in remarkable agreement with numerical studies of the superfluid-Mott glasstransition. We additionally discuss the stability of this fixed point to scalarand vector potential disorder and use proposed boson-fermion dualities to makeconjectures regarding the effects of weak disorder on dual Abelian Higgs andChern-Simons-Dirac fermion theories when $N=1$.

Collusion of Interactions and Disorder at the Superfluid-Insulator Transition: A Dirty 2d Quantum Critical Point