Interplay of interactions and disorder at the superfluid-insulator transition: A dirty two-dimensional quantum critical point

Hart Goldman, Alex Thomson, Laimei Nie, Zhen Bi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We study the stability of the Wilson-Fisher fixed point of the quantum 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.

Original languageEnglish (US)
Article number144506
JournalPhysical Review B
Volume101
Issue number14
DOIs
StatePublished - Apr 1 2020

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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