Abstract
We perform a fully quantum mechanical numerical calculation for the problem of a single electron (or excitation) propagating in an N-site one-dimensional chain in the presence of a single Holstein impurity. We compute the long-time averaged probability for finding the electron on the impurity site as a function of the nonlinearity parameter, defined in terms of the electron-phonon coupling strength and the oscillator frequency. The results, in the intermediate nonlinearity parameter range, differ substantially from the ones obtained through the use of the discrete nonlinear Schrödinger equation, even in the high-frequency regime.
| Original language | English |
|---|---|
| Pages (from-to) | 59-63 |
| Number of pages | 5 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 234 |
| Issue number | 1 |
| Publication status | Published - Sep 8 1997 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
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Quantum vibrational impurity embedded in a one-dimensional chain. / Molina, M. I.; Rössler, J. A.; Tsironis, G. P.
In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 234, No. 1, 08.09.1997, p. 59-63.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Quantum vibrational impurity embedded in a one-dimensional chain
AU - Molina, M. I.
AU - Rössler, J. A.
AU - Tsironis, G. P.
PY - 1997/9/8
Y1 - 1997/9/8
N2 - We perform a fully quantum mechanical numerical calculation for the problem of a single electron (or excitation) propagating in an N-site one-dimensional chain in the presence of a single Holstein impurity. We compute the long-time averaged probability for finding the electron on the impurity site as a function of the nonlinearity parameter, defined in terms of the electron-phonon coupling strength and the oscillator frequency. The results, in the intermediate nonlinearity parameter range, differ substantially from the ones obtained through the use of the discrete nonlinear Schrödinger equation, even in the high-frequency regime.
AB - We perform a fully quantum mechanical numerical calculation for the problem of a single electron (or excitation) propagating in an N-site one-dimensional chain in the presence of a single Holstein impurity. We compute the long-time averaged probability for finding the electron on the impurity site as a function of the nonlinearity parameter, defined in terms of the electron-phonon coupling strength and the oscillator frequency. The results, in the intermediate nonlinearity parameter range, differ substantially from the ones obtained through the use of the discrete nonlinear Schrödinger equation, even in the high-frequency regime.
UR - http://www.scopus.com/inward/record.url?scp=4243845853&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=4243845853&partnerID=8YFLogxK
M3 - Article
VL - 234
SP - 59
EP - 63
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
SN - 0375-9601
IS - 1
ER -