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

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

Benjamin J. Powell 1,* email, Tunna Baruah 2 email and Mark R. Pederson 3 email
1 Centre for Organic Photonics and Electronics, School of Mathematics and Physics, The University of Queensland, Brisbane, Queensland 4072, Australia 2 Physics Department, University of Texas at El Paso, El Paso, TX 79968, USA 3 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; in revised form: 2 April 2012 / Accepted: 9 April 2012 / Published: 18 April 2012
(This article belongs to the Special Issue Molecular Conductors)
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Abstract: 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.
Keywords: vibronic coupling; electron-phonon interaction; Mott transition

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MDPI and ACS Style

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.

AMA Style

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

Chicago/Turabian Style

Powell, Benjamin J.; Baruah, Tunna; Pederson, Mark R. 2012. "Equivalence of Electron-Vibration Interaction and Charge-Induced Force Variations: A New O(1) Approach to an Old Problem." Crystals 2, no. 2: 236-247.

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