scholarly journals Polaron effective mass, band distortion, and self-trapping in the Holstein molecular-crystal model

1999 ◽  
Vol 59 (21) ◽  
pp. 13728-13740 ◽  
Author(s):  
Aldo H. Romero ◽  
David W. Brown ◽  
Katja Lindenberg
Keyword(s):  
Effective Mass ◽  
Molecular Crystal ◽  
Self Trapping ◽  
Crystal Model

scholarly journals Self-trapping line of the Holstein molecular crystal model in one dimension

1999 ◽  
Vol 60 (7) ◽  
pp. 4618-4623 ◽  
Author(s):  
Aldo H. Romero ◽  
David W. Brown ◽  
Katja Lindenberg
Keyword(s):  
Molecular Crystal ◽  
One Dimension ◽  
Self Trapping ◽  
Crystal Model

scholarly journals Polaron dynamics with off-diagonal coupling: beyond the Ehrenfest approximation

2017 ◽  
Vol 19 (2) ◽  
pp. 1655-1668 ◽  
Author(s):  
Zhongkai Huang ◽  
Lu Wang ◽  
Changqin Wu ◽  
Lipeng Chen ◽  
Frank Grossmann ◽  
...  
Keyword(s):  
Variational Principle ◽  
Molecular Crystal ◽  
Time Dependent ◽  
Phonon Coupling ◽  
One Dimensional ◽  
Crystal Model ◽  
Polaron Dynamics ◽  
Diagonal Coupling

Treated traditionally by the Ehrenfest approximation, the dynamics of a one-dimensional molecular crystal model with off-diagonal exciton–phonon coupling is investigated in this work using the Dirac–Frenkel time-dependent variational principle with the multi-D2Ansatz.

scholarly journals Variational approach for the Holstein molecular-crystal model

1999 ◽  
Vol 60 (22) ◽  
pp. 15163-15172 ◽  
Author(s):  
V. Cataudella ◽  
G. De Filippis ◽  
G. Iadonisi
Keyword(s):  
Variational Approach ◽  
Molecular Crystal ◽  
Crystal Model

Electron–phonon interaction in three-, two- and one-dimensional ternary mixed crystals

2016 ◽  
Vol 30 (15) ◽  
pp. 1650182
Author(s):  
Junhua Hou ◽  
Yunpeng Fan
Keyword(s):  
Cell Volume ◽  
Effective Mass ◽  
Unit Cell Volume ◽  
Three Dimensional ◽  
Unit Cell ◽  
Mixed Crystals ◽  
Phonon Interaction ◽  
One Dimensional ◽  
Electron Phonon Interaction ◽  
Self Trapping

The electron–phonon (e–p) interaction in three-dimensional (3D), two-dimensional (2D) and one-dimensional (1D) ternary mixed crystals is studied. The e–p interaction Hamiltonians including the unit cell volume variation in ternary mixed crystals are obtained by using the modified random-element-isodisplacement model and Born–Huang method. The polaronic self-trapping energy and renormalized effective mass of GaAs[Formula: see text]Sb[Formula: see text], GaP[Formula: see text]As[Formula: see text] and GaP[Formula: see text]Sb[Formula: see text] compounds are numerically calculated. It is confirmed theoretically that the nonlinear variation of the self-trapping energy and effective mass with the composition is essential and the unit cell volume effects cannot be neglected except the weak e–p coupling. The dimensional effect cannot also be ignored.

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