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Crystals 2012, 2(2), 236-247; doi:10.3390/cryst2020236

Equivalence of Electron-Vibration Interaction and Charge-Induced Force Variations: A New O(1) Approach to an Old Problem

Centre for Organic Photonics and Electronics, School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, Australia
Physics Department, University of Texas at El Paso, El Paso, TX 79968, USA
Office of Basic Energy Science, SC 22.1 Germantown Building, US Department of Energy, 1000 Independence Avenue SW, Washington, DC 20585-1290, USA
Author to whom correspondence should be addressed.
Received: 8 March 2012 / Revised: 2 April 2012 / Accepted: 9 April 2012 / Published: 18 April 2012
(This article belongs to the Special Issue Molecular Conductors)
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Calculating electron-vibration (vibronic) interaction constants is computationally expensive. For molecules containing N nuclei it involves solving the Schrödinger equation for Ο(3N) nuclear configurations in addition to the cost of determining the vibrational modes. We show that quantum vibronic interactions are proportional to the classical atomic forces induced when the total charge of the system is varied. This enables the calculation of vibronic interaction constants from O(1) solutions of the Schrödinger equation. We demonstrate that the O(1) approach produces numerically accurate results by calculating the vibronic interaction constants for several molecules. We investigate the role of molecular vibrations in the Mott transition in κ-(BEDT-TTF)2Cu[N(CN)2]Br. View Full-Text
Keywords: vibronic coupling; electron-phonon interaction; Mott transition vibronic coupling; electron-phonon interaction; Mott transition

This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Powell, B.J.; Baruah, T.; Pederson, M.R. Equivalence of Electron-Vibration Interaction and Charge-Induced Force Variations: A New O(1) Approach to an Old Problem. Crystals 2012, 2, 236-247.

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