The collective modes of two-dimensional helical electron gases interacting with light have been studied in an extended random phase approximation.An inverse operator transformation that interprets electron oscillation...The collective modes of two-dimensional helical electron gases interacting with light have been studied in an extended random phase approximation.An inverse operator transformation that interprets electron oscillations and photons with quasi particles is developed.Because photons are initially included in the model,one can directly derive and compare the static and radiation(or vector)Helds for the excited collective modes.Unlike the traditional quantization scheme that the electron oscillation's contribution is totally hidden in the dielectric function,we can directly investigate their roles when the collective modes interact with other particles.As an example,we find an additional term which plays an important role at small distance arising from electron exchanging effect when the collective modes couple to emitters.展开更多
基金the National Basic Research Program of China under Grant No.2015CB932401the National Key R&D Program of China under Grant Nos.2017YFA0205800 and 2017YFA0303402the National Natural Science Foundation of China under Grant Nos.91850207 and 11344009.
文摘The collective modes of two-dimensional helical electron gases interacting with light have been studied in an extended random phase approximation.An inverse operator transformation that interprets electron oscillations and photons with quasi particles is developed.Because photons are initially included in the model,one can directly derive and compare the static and radiation(or vector)Helds for the excited collective modes.Unlike the traditional quantization scheme that the electron oscillation's contribution is totally hidden in the dielectric function,we can directly investigate their roles when the collective modes interact with other particles.As an example,we find an additional term which plays an important role at small distance arising from electron exchanging effect when the collective modes couple to emitters.