Abstract
We study the semiclassical Holstein model with a hard nonlinear on-site potential in one, two, and three dimensions. Using stationary solutions, we obtain the ground-state phase diagram as a function of the parameter characterizing the nonlinearity as well as the electron-phonon coupling. The basic result is that in the presence of the nonlinear on-site potential medium and large polaron formation is also possible in two and three dimensions. Linearizing the equations of motion around the stationary solution, we calculate the normal modes and study their stability. Normal mode analysis shows the existence of a low-frequency pinning mode not only in one dimension (1D) but also in 2D and 3D. This result enables us to construct numerically one- and two-dimensional moving polarons and study their mobility properties. The dramatic reduction of the polaron effective mass is the most characteristic effect of the lattice nonlinearity.
| Original language | English |
|---|---|
| Article number | 014302 |
| Pages (from-to) | 143021-143027 |
| Number of pages | 7 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 63 |
| Issue number | 1 |
| Publication status | Published - 2001 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Condensed Matter Physics
Cite this
Stationary and dynamical properties of polarons in the anharmonic Holstein model. / Voulgarakis, N. K.; Tsironis, G. P.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 63, No. 1, 014302, 2001, p. 143021-143027.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Stationary and dynamical properties of polarons in the anharmonic Holstein model
AU - Voulgarakis, N. K.
AU - Tsironis, G. P.
PY - 2001
Y1 - 2001
N2 - We study the semiclassical Holstein model with a hard nonlinear on-site potential in one, two, and three dimensions. Using stationary solutions, we obtain the ground-state phase diagram as a function of the parameter characterizing the nonlinearity as well as the electron-phonon coupling. The basic result is that in the presence of the nonlinear on-site potential medium and large polaron formation is also possible in two and three dimensions. Linearizing the equations of motion around the stationary solution, we calculate the normal modes and study their stability. Normal mode analysis shows the existence of a low-frequency pinning mode not only in one dimension (1D) but also in 2D and 3D. This result enables us to construct numerically one- and two-dimensional moving polarons and study their mobility properties. The dramatic reduction of the polaron effective mass is the most characteristic effect of the lattice nonlinearity.
AB - We study the semiclassical Holstein model with a hard nonlinear on-site potential in one, two, and three dimensions. Using stationary solutions, we obtain the ground-state phase diagram as a function of the parameter characterizing the nonlinearity as well as the electron-phonon coupling. The basic result is that in the presence of the nonlinear on-site potential medium and large polaron formation is also possible in two and three dimensions. Linearizing the equations of motion around the stationary solution, we calculate the normal modes and study their stability. Normal mode analysis shows the existence of a low-frequency pinning mode not only in one dimension (1D) but also in 2D and 3D. This result enables us to construct numerically one- and two-dimensional moving polarons and study their mobility properties. The dramatic reduction of the polaron effective mass is the most characteristic effect of the lattice nonlinearity.
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M3 - Article
VL - 63
SP - 143021
EP - 143027
JO - Physical Review B
JF - Physical Review B
SN - 1098-0121
IS - 1
M1 - 014302
ER -