Phys. Rev. Lett. 95, 196805 (2005) [4 pages]Electron Localization in the Quantum Hall RegimeReceived 1 March 2005; published 1 November 2005 The theory of the insulating state discriminates between insulators and metals by means of a localization tensor, which is finite in insulators and divergent in metals. In absence of time-reversal symmetry, this same tensor acquires an off-diagonal imaginary part, proportional to the dc transverse conductivity, leading to quantization of the latter in two-dimensional systems. I provide evidence that electron localization—in the above sense—is the common cause for both vanishing of the dc longitudinal conductivity and quantization of the transverse one in quantum Hall fluids. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.95.196805
DOI:
10.1103/PhysRevLett.95.196805
PACS:
73.43.−f, 71.10.Fd
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.