Quantum Hall and insulating states of a 2-D electron–hole system

The quantum phase diagram of disordered wires in a strong magnetic field is studied as function of wire width and energy. The 2-terminal conductance shows zero temperature discontinuous transitions between exactly integer plateau values and zero. In the vicinity of this transition, the chiral metal insulator transition (CMIT), states are identified which are superpositions of edge states with opposite chirality. The bulk contribution of such states is found to decrease with increasing wire width. Based on exact diagonalisation results for the eigenstates and their participation ratios, we conclude that these states are characteristic for the CMIT, have the appearance of nonchiral edges states, and are thereby distinguishable from other states in the quantum Hall wire, namely, extended edge states, two-dimensionally (2D) localized, quasi-1-D localized, and 2D critical states.

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The mesoscopic chiral metal-insulator transition

Kettemann

Krämer

Ohtsuki

2004

Jetp Lett.

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Sharp localization transitions of chiral edge states in disordered quantum wires, subject to strong magnetic field, are shown to be driven by crossovers from two-to one-dimensional localization of bulk states. As a result, the two-terminal conductance is found to exhibit at zero temperature discontinuous transitions between exactly integer plateau values and zero, reminiscent of first order phase transitions. We discuss the corresponding phase diagram. The spin of the electrons is shown to result in a multitude of phases, when the spin degeneracy is lifted by the Zeeman energy. The width of conductance plateaus is found to depend sensitively on the spin flip rate 1/τs.

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Quantum Hall and insulating states of a 2-D electron–hole system

Cited by 4 publications

References 46 publications

High-field magneto-transport at charge neutrality point in monolayer graphene

High-field magneto-transport at charge neutrality point in monolayer graphene

Nonchiral edge states at the chiral metal-insulator transition in disordered quantum Hall wires

The mesoscopic chiral metal-insulator transition

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