Electron localization in the quantum Hall regime |
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Authors: | Resta Raffaele |
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Institution: | INFM DEMOCRITOS National Simulation Center, via Beirut 2, I-34014 Trieste, Italy. |
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Abstract: | 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. |
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