Dissipative Tunneling in 2 DEG: Effect of Magnetic Field, Impurity and Temperature

TL;DR

This paper investigates how magnetic fields, impurities, and temperature influence dissipative tunneling in a two-dimensional electron gas, providing analytical insights into decay rates across various regimes.

Contribution

It presents a comprehensive analytical study of dissipative tunneling in 2DEG, highlighting the effects of magnetic field, impurity, and temperature on decay rates.

Findings

Dissipation and impurity enhance tunneling.

Magnetic field significantly affects tunneling behavior.

Decay rates vary across temperature regimes from thermal activation to quantum tunneling.

Abstract

We have studied the transport process in the two dimensional electron gas (2DEG) in presence of a magnetic field and a dissipative environment at temperature T. By means of imaginary time series functional integral method we calculate the decay rates at finite temperature and in the presence of dissipation. We have studied decay rates for wide range of temperatures -- from the thermally activated region to very low temperature region where the system decays by quantum tunneling. We have shown that dissipation and impurity helps the tunneling. We have also shown that tunneling is strongly affected by the magnetic field. We have demonstrated analytical results for all the cases mentioned above.