Self-duality of the integer quantum Hall to insulator transition: Composite fermion description

Article

关键词: MAGNETIC-FIELD;    PHASE;    LOCALIZATION;    CONDUCTIVITY;    UNIVERSALITY;    CONDUCTANCE;    PERCOLATION;    MODELS;    LIQUID;   

DOI  :  10.1103/PhysRevB.100.235124

来源: SCIE

【 摘 要 】

The integer quantum Hall to insulator transition (IQHIT) is a paradigmatic quantum critical point. Key aspects of this transition, however, remain mysterious, due to the simultaneous effects of quenched disorder and strong interactions. We study this transition using a composite fermion (CF) representation, which incorporates some of the effects of interactions. As we describe, the transition also marks an IQHIT of CFs: this suggests that the transition may exhibit self-duality. We show the explicit equivalence of the electron and CF Lagrangians at the critical point via the corresponding nonlinear sigma models, revealing the self-dual nature of the transition. We show analytically that the resistivity tensor at the critical point is rho(c)(xx) = rho(c)(xy) = h/e(2) which are consistent with the expectations of self-duality, and in rough agreement with experiments.

【 授权许可】

Free