Weak Field Phase Diagram for an Integer Quantum Hall Liquid

Details Weak Field Phase Diagram for an Integer Quantum Hall Liquid Weak Field Phase Diagram for an Integer Quantum Hall Liquid

1995-04-04

arxiv.org/abs/cond-mat/9504010v1

Physics

Condensed Matter

4 pages, ReVTeX 3.0, 4 figures (available upon request)

Scientific paper

10.1103/PhysRevLett.76.975

We study the localization properties in the transition from a two-dimensional electron gas at zero magnetic field into an integer quantum Hall (QH) liquid. By carrying out a direct calculation of the localization length for a finite size sample using a transfer matrix technique, we systematically investigate the field and disorder dependences of the metal-insulator transition in the weak field QH regime. We obtain a different phase diagram from the one conjectured in previous theoretical studies. In particular, we find that: (1) the extended state energy $E_{c}$ for each Landau level (LL) is {\it always} linear in magnetic field; (2) for a given Landau level and disorder configuration there exists a critical magnetic field $B_{c}$ below which the extended state disappears; (3) the lower LLs are more robust to the metal-insulator transition with smaller $B_{c}$. We attribute the above results to strong LL coupling effect. Experimental implications of our work are discussed.

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