Acoustic polaron in a two-dimensional electron-lattice system

Journal of the Physical Society of Japan

Volumn 70, Issue 10, 2001, Pages 2968-2976

  Miyasaka, Norio ^a   Ono, Yoshiyuki ^a  

^a TOHO UNIVERSITY   (Japan)

Author keywords

Acoustic polaron; Critical dimension less coupling constant; Polydiacetylene, organic conductors; SSH model; Stability of a polaron; Two dimensional electron lattice system

Indexed keywords

EID: 0035620354     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.70.2968     Document Type: Article

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17. i.j decays exponentially with the distance from the center position of the polaron.
18. c and η in the thermodynamic limit. Unfortunately, however, we could not confirm the existence of the finite size scaling law. This will be because the present issue is not a global one but of a single particle property.
19. It is simply by chance whether the first movement is in the horizontal or the perpendicular direction.
20. We have not yet studied the λ dependence of the saturation velocity, partly because the range of λ appropriate to numerical simulations is rather small. If λ is too small, the polaron will not be stable and if λ is too large, the extent of the polaron will be very small and the effect of the lattice discreteness becomes too strong.
21. tot should be the same as the total energy obtained in the static calculation, we treated it as one of the fitting parameters in order to inculude the pinning effect due to the discreteness of the lattice.