scholarly journals Theory of Plasmons for Two-Dimensional Materials in the Random Phase Approximation

2016 ◽  
Vol 1 (1) ◽  
pp. 9 ◽  
Author(s):  
Masakazu Ichikawa
Keyword(s):  
Random Phase Approximation ◽  
Random Phase ◽  
Two Dimensional ◽  
Phase Approximation ◽  
Two Dimensional Materials

EFFECT OF MULTIPLE PHONON BRANCHES ON THE PHASE TRANSITIONAL BEHAVIOR OF A TWO-DIMENSIONAL POLARON GAS

1995 ◽  
Vol 09 (07) ◽  
pp. 849-857
Author(s):  
SOMA MUKHOPADHYAY ◽  
ASHOK CHATTERJEE
Keyword(s):  
Variational Method ◽  
Optical Phonon ◽  
Random Phase Approximation ◽  
Random Phase ◽  
Two Dimensional ◽  
Phase Approximation ◽  
Phonon Branch ◽  
Transitional Behavior ◽  
Additional Branch ◽  
Optical Phonon Branch

Using an all-coupling variational method and the random phase approximation, it is shown that a two-dimensional polaron gas exhibiting no localization-delocalization transition with a single optical phonon branch may undergo such a transition in the presence of an additional phonon branch. However, if the system already shows a transition, with a single phonon branch, then the effect of an additional branch is just to enhance the low-mobility self-trapped phase of the polaron.

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