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

Article

关键词: CRITICAL-BEHAVIOR;    DEGENERATE SEMICONDUCTORS;    RENORMALIZATION-GROUP;    PHASE-TRANSITIONS;    SUPERCONDUCTIVITY;    DUALITY;    ONSET;    DIMENSIONS;    DEFECTS;    MAGNETS;   

DOI  :  10.1103/PhysRevB.101.144506

来源: SCIE

【 摘 要 】

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-E 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.

【 授权许可】

Free