Nonchiral Edge States at the Chiral Metal Insulator Transition in Disordered Quantum Hall Wires

Abstract

The quantum phase diagram of disordered wires in a strong magnetic field is studied as a function of wire width and energy. The two-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 that 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 diagonalization 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-1D localized, and 2D critical states.

arXiv commentreplaced with revised version

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Cited by in corpus (4)

• Unconventional conductance plateau transitions in quantum Hall wires with spatially correlated disorder
• Dimensional crossover of the integer quantum Hall plateau transition and disordered topological pumping
• Time-dependent transport in Aharonov-Bohm interferometers
• Conductance plateau transitions in quantum Hall wires with spatially correlated random magnetic fields