2003/05/02 by Keshav N. Shrivastava, Shrivastava, Keshav N.
Physics and Astronomy · #FOS: Physical sciences #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Strongly Correlated Electrons (cond-mat.str-el) #cond-mat.mes-hall #cond-mat.str-el
paper · pdf · doi:10.48550/arxiv.cond-mat/0305032
6 pages TeX
arxiv created 2003/05/02 · arxiv updated 2009/11/30
Usually the conductivity is quantized as the inverse of the resistivity, ρ=hc/ie2, σ=ie2/hc and the velocity versus the electric field is linear, v=μE where μis the mobility of the electrons.However,when the applied electric field exceeds a certain value, microwaves are emitted and the relation v=μE 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.