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

Abstract

I have studied the transport process in the two dimensional electron gas (2DEG) in thepresence of a magnetic field and a dissipative environment at finite temperatureT. By means of the imaginary time series functional integral method I calculate the decayrates at finite temperature in the presence of dissipation, impurity and magnetic field. Ihave studied decay rates for a wide range of temperatures—from the thermallyactivated region to the very low temperature region where the system decays byquantum tunnelling. I have shown that tunnelling is strongly affected by themagnetic field. Both dissipation and impurity subdue the effect of magnetic field andenhance the tunnelling rate. I have demonstrated analytical results of quantumtunnelling for different experimentally accessible limits. My results are relevant in thecontext of quantum tunnelling in SQUIDs or current biased Josephson junctions.