Weak Field Phase Diagram for an Integer Quantum Hall Liquid

Abstract

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.

arXiv comment4 pages, ReVTeX 3.0, 4 figures (available upon request)

References in corpus (2)

• Global phase diagram for the quantum Hall effect: An experimental picture
• Universal Scaling of Strong-Field Localization in an Integer Quantum Hall Liquid

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