Abstract
We investigate the dimensionality effects of the Holstein polaron from the fully quantum regime, where the crossover between large and small polaron solutions is known to be continuous in all dimensions, into the limit described by the semiclassical discrete nonlinear Schrödinger (DNLS) equation, where the crossover is continuous in one dimension (1D) but discontinuous in higher dimensions. We use exact numerics on one hand and a two variable parametrization of the Toyozawa ansatz on the other in order to probe the crossover region in all parameter regimes. We find that a barrier appears also in 1D separating the two types of solutions, seemingly in contradiction to the common paradigm for the DNLS according to which the crossover is barrier-free. We quantify the polaron behavior in the crossover region as a function of the exciton overlap and find that the barrier remains small in 1D and tunneling through it is not rate-limiting.
| Original language | English |
|---|---|
| Article number | 092301 |
| Journal | Physical Review B - Condensed Matter and Materials Physics |
| Volume | 78 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Sep 2 2008 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Condensed Matter Physics
Cite this
Barrier crossing to the small Holstein polaron regime. / Hamm, Peter; Tsironis, G. P.
In: Physical Review B - Condensed Matter and Materials Physics, Vol. 78, No. 9, 092301, 02.09.2008.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Barrier crossing to the small Holstein polaron regime
AU - Hamm, Peter
AU - Tsironis, G. P.
PY - 2008/9/2
Y1 - 2008/9/2
N2 - We investigate the dimensionality effects of the Holstein polaron from the fully quantum regime, where the crossover between large and small polaron solutions is known to be continuous in all dimensions, into the limit described by the semiclassical discrete nonlinear Schrödinger (DNLS) equation, where the crossover is continuous in one dimension (1D) but discontinuous in higher dimensions. We use exact numerics on one hand and a two variable parametrization of the Toyozawa ansatz on the other in order to probe the crossover region in all parameter regimes. We find that a barrier appears also in 1D separating the two types of solutions, seemingly in contradiction to the common paradigm for the DNLS according to which the crossover is barrier-free. We quantify the polaron behavior in the crossover region as a function of the exciton overlap and find that the barrier remains small in 1D and tunneling through it is not rate-limiting.
AB - We investigate the dimensionality effects of the Holstein polaron from the fully quantum regime, where the crossover between large and small polaron solutions is known to be continuous in all dimensions, into the limit described by the semiclassical discrete nonlinear Schrödinger (DNLS) equation, where the crossover is continuous in one dimension (1D) but discontinuous in higher dimensions. We use exact numerics on one hand and a two variable parametrization of the Toyozawa ansatz on the other in order to probe the crossover region in all parameter regimes. We find that a barrier appears also in 1D separating the two types of solutions, seemingly in contradiction to the common paradigm for the DNLS according to which the crossover is barrier-free. We quantify the polaron behavior in the crossover region as a function of the exciton overlap and find that the barrier remains small in 1D and tunneling through it is not rate-limiting.
UR - http://www.scopus.com/inward/record.url?scp=51349140476&partnerID=8YFLogxK
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U2 - 10.1103/PhysRevB.78.092301
DO - 10.1103/PhysRevB.78.092301
M3 - Article
VL - 78
JO - Physical Review B
JF - Physical Review B
SN - 1098-0121
IS - 9
M1 - 092301
ER -