### 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)

### Cite this

*Physics Letters, Section A: General, Atomic and Solid State Physics*,

*234*(1), 59-63.

**Quantum vibrational impurity embedded in a one-dimensional chain.** / Molina, M. I.; Rössler, J. A.; Tsironis, G. P.

Research output: Contribution to journal › Article

*Physics Letters, Section A: General, Atomic and Solid State Physics*, vol. 234, no. 1, pp. 59-63.

}

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 -