Variational energy band theory for polarons: mapping polaron structure with the Toyozawa method

Yang Zhao; Brown, David W.; Lindenberg, Katja
August 1997
Journal of Chemical Physics;8/22/1997, Vol. 107 Issue 8, p3159
Academic Journal
Discusses a contemporary perspective of a classic problem of polaron theory in one space dimension following the variational approach originally taken by Toyozawa. Representation of polaron structure; Identification of characteristic small polaron, large polaron and nearly free phonon structures; Association of localized functions with variational energy bands.


Related Articles

  • Variational Ground State Approach for A Tunnelling Exciton Coupled to Phonons. Kulak, Dezider // Turkish Journal of Physics;2007, Vol. 31 Issue 5, p235 

    In this paper a variational study of a tunnelling exciton (Frenkel exciton) coupled to an arbitrary number of phonon modes is presented. The results of our model are presented both for weak nonadiabatic cases and for strong cases; and we come to the conclusion that the tunnelling reduction...

  • Polaron dynamics with a multitude of Davydov D2 trial states. Nengji Zhou; Zhongkai Huang; Jiangfeng Zhu; Chernyak, Vladimir; Yang Zhao // Journal of Chemical Physics;2015, Vol. 143 Issue 1, p1 

    We propose an extension to the Davydov D2 Ansatz in the dynamics study of the Holstein molecular crystal model with diagonal and off-diagonal exciton-phonon coupling using the Dirac-Frenkel time-dependent variational principle. The new trial state by the name of the "multi-D2 Ansatz" is a linear...

  • The Rashba Effect on the Bound Polaron in a Parabolic Quantum Dot. Yin, Ji-Wen; Li, Wei-Ping; Yu, Yi-Fu; Xiao, Jing-Lin // Journal of Low Temperature Physics;Apr2011, Vol. 163 Issue 1/2, p53 

    The bound polaron ground state energy is calculated by the variational method of Pekar considering the influence of the Rashba SO interaction on the condition of electric-LO phonon strong coupling in a parabolic quantum dot (QD). The relations on the bound polaron ground state energy with the...

  • ACOUSTIC POLARON IN CYLINDRICAL QUANTUM WIRES. HOU, JUNHUA; LIANG, X. X.; ZHOU, XIN // Modern Physics Letters B;3/10/2012, Vol. 26 Issue 6, p1150037-1 

    The ground state energies and the derivates of the acoustic polaron in cylindrical quantum wire systems are performed by using the Huybrechts-like variational approach. The criterions for presence of the self-trapping transition of the acoustic polaron in cylindrical quantum wires are determined...

  • Variational energy band theory for polarons: Mapping polaron structure with the global-local method. Brown, David W.; Lindenberg, Katja; Yang Zhao // Journal of Chemical Physics;8/22/1997, Vol. 107 Issue 8, p3179 

    Explores a classic problem of polaron theory in one dimension using a variational approach generalizing that of Toyozawa. Delocalized trial states; Mixed global and local exciton-phonon correlations; Presentation of complete energy bands in illustrative cases; Principal trends in ground-state...

  • Multiple-band theory of dynamics for interacting adsorbates coupled to phonons. II. Single adsorbate dynamics. Reilly, Philip D.; Harris, Robert A.; Whaley, K. Birgitta // Journal of Chemical Physics;11/1/1992, Vol. 97 Issue 9, p6975 

    The dynamics of an adsorbate described by a two-band generalization of the small-polaron model [J. Chem. Phys. 95, 8599 (1991)] are investigated. Lattice induced mixing of the bands can result in the adsorbates becoming self-trapped at one end of an adsorption site or the other. Tunneling...

  • Coherent and diffusive features of polaron transport in exciton-phonon systems: A Mori approach. Dolderer, H.; Wagner, M. // Journal of Chemical Physics;1/1/1998, Vol. 108 Issue 1, p261 

    Investigates the polaron transport of an exciton-phonon system with linear site-occupational coupling using Mori-formalism approach. Division and interpretation of the memory function; Absence of divergence problem in the approach; Coherent features of the transport.

  • Small-to-Large Polaron Crossover in One Dimension Using Variational Phonon-Averaging Techniques. Choudhury, P.; Das, A. N. // International Journal of Modern Physics B: Condensed Matter Phys;5/30/2001, Vol. 15 Issue 13, p1923 

    The ground-state properties of polarons in a one-dimensional chain is studied analytically within the modified Lang-Firsov (MLF) transformation using various phonon-averaging techniques. The object of the work is to examine how the analytical approaches may be improved to give rise to the real...

  • The Effect of Hydrostatic Pressure on Bound Polarons in Polar Semiconductor Heterojunctions. Cao, Y. L.; Ban, S. L.; Zhao, G. J. // Modern Physics Letters B;7/20/2003, Vol. 17 Issue 17, p909 

    A variational method is used to investigate the binding energies of bound polarons near the interface in a GaAs/Al[sub x]Ga[sub 1-x]As heterojunction by considering the hydrostatic pressure effect. It is found that the comprehensive pressure effect on the heterojunction factors increases the...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics