Publication
Physical Review B
Paper

Global phase diagram in the quantum Hall effect

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Abstract

We report recent progress in determining the global behavior of the two-dimensional electron gas in a high magnetic field. Specifically, we have: (i) derived a law of corresponding states which allows us to construct a global phase diagram and calculate many interrelations between transport coefficients; (ii) derived a selection rule governing the allowed continuous transitions between pairs of quantum Hall liquid states; and (iii) identified the insulating state, which we have named the Hall insulator, as a state in which, as the temperature T0, xx, xx and xy0, but xy tends to a constant value, roughly B/nec. Each of these results has many testable experimental consequences. © 1992 The American Physical Society.

Date

15 Jul 1992

Publication

Physical Review B

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