Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-05-02
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
6 pages TeX
Scientific paper
Usually the conductivity is quantized as the inverse of the resistivity, \rho=hc/ie^2, \sigma=ie^2/hc and the velocity versus the electric field is linear, v=\mu E where \mu is the mobility of the electrons.However,when the applied electric field exceeds a certain value, microwaves are emitted and the relation v=\mu E breaks down so that the velocity actually reduces as E increases. In this region, when magnetic field is applied, the conductivity quantizes like the magnetic field, i.e., in units of hc/e which is different from the usual quantization. Because of the flux quantization, the resistivity will touch zero in the region of high electric field. Factors like 4/5 arise due to new spin dependence of the effective charge.
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