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We have studied the transport process in the two dimensional electron gas(2DEG) in presence of a magnetic field and a dissipative environment attemperature T. By means of imaginary time series functional integral method wecalculate the decay rates at finite temperature and in the presence ofdissipation. We have studied decay rates for wide range of temperatures -- fromthe thermally activated region to very low temperature region where the systemdecays by quantum tunneling. We have shown that dissipation and impurity helpsthe tunneling. We have also shown that tunneling is strongly affected by themagnetic field. We have demonstrated analytical results for all the casesmentioned above.Comment: 8 pages, 2 figure

Dissipative tunnelling in 2DEG: effect of magnetic field, impurity and temperature