Work

Quantum breakdown of the quantized Hall insulator

Year: 2001

Type: article

Abstract: We present an analytical scaling theory for localization in a two-dimensional hierarchical network model that is designed to represent phase-coherent electron transport in the quantum-Hall regime. Scaling expressions for both the longitudinal and Hall resistivities are derived. In agreement with recent numerical studies, we find that the Hall resistivity is quantized in the metallic phase but diverges in the insulating phase. This suggests that the characteristics of a quantized Hall insulator can occur only in the presence of a strong dephasing mechanism.

Source: Physical review. B, Condensed matter

DOI: 10.1103/physrevb.63.241301

Authors: U. Zülicke, Efrat Shimshoni

Institutions: Karlsruhe Institute of Technology, Oranim Academic College of Education

Language: English

Topic: Quantum and electron transport phenomena

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2034338948

FWCI: 1.925

Cites: 27

Cited by: 16

Related to: 10