1. New Universality at the Magnetic Field Driven Insulator to Integer Quantum Hall Effect Transitions
- Author
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S. H. Song, D. C. Tsui, Dan Shahar, Don Monroe, and Ya-Hong Xie
- Subjects
Physics ,Condensed matter physics ,Critical point (thermodynamics) ,Quantum mechanics ,Low magnetic field ,Diagonal ,General Physics and Astronomy ,Insulator (electricity) ,Quantum Hall effect ,Quantum well ,Magnetic field ,Universality (dynamical systems) - Abstract
We present a magnetotransport study of a disordered two-dimensional hole system in a strained Ge quantum well. As the magnetic field is increased, a clear transition from a low magnetic field insulator to the $\ensuremath{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}1$ quantum Hall state at the lowest density range (controlled by a gate), and to the $\ensuremath{\nu}\phantom{\rule{0ex}{0ex}}=\phantom{\rule{0ex}{0ex}}3$ state at higher densities, is observed. We find that these transitions are characterized by a new universality: At the critical point, the diagonal and Hall resistivities are equal, within experimental uncertainty. These results are in conflict with the ``floating'' scenario suggested by Khmel'nitzkii [JETP Lett. 38, 552 (1983)] and Laughlin [Phys. Rev. Lett. 52, 2304 (1984)].
- Published
- 1997