超流-绝缘体相变中相互作用和无序的共谋：一个肮脏的2d量子临界点
Collusion of Interactions and Disorder at the Superfluid-Insulator Transition: A Dirty 2d Quantum Critical Point
摘要：
研究了量子$\mathrm{O}(2N)$矢量模型的Wilson-Fisher不动点在大$N$极限下对猝灭无序的稳定性.虽然随机质量在高斯固定点处是强相关的，但其效果被威尔逊-费舍尔固定点的强相互作用屏蔽。这使得微扰重整化群研究的相互作用的无序和相互作用的这个固定点。我们表明，在早期的双$ε$扩展中获得的螺旋流相反，理论直接流到一个量子临界点，其特征在于有限的无序和相互作用。临界指数，我们得到这种转变是在显着的协议与数值研究的超流莫特玻璃化转变。此外，我们还讨论了这个不动点的稳定性，标量和矢量势的混乱和使用建议玻色子费米子对偶，使有关弱无序的影响对偶阿贝尔希格斯和陈-西蒙斯-狄拉克费米子理论时，$N=1$。
英文摘要：
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, its effect is screened by the strong interactions of the Wilson-Fisher fixed point. This enables a perturbative renormalization group study of the interplay of disorder and interactions about this fixed point. We show that, in contrast to the spiralling flows obtained in earlier double-$ε$ expansions, the theory flows directly to a quantum critical point characterized by finite disorder and interactions. The critical exponents we obtain for this transition are in remarkable agreement with numerical studies of the superfluid-Mott glass transition. We additionally discuss the stability of this fixed point to scalar and vector potential disorder and use proposed boson-fermion dualities to make conjectures regarding the effects of weak disorder on dual Abelian Higgs and Chern-Simons-Dirac fermion theories when $N=1$.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
