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