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Lattice dynamical effects on the peierls transition in one-dimensional metals and spin chains

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Advances in Solid State Physics 40

Part of the book series: Advances in Solid State Physics ((ASSP,volume 40))

Abstract

The interplay of charge, spin and lattice degrees of freedom is studied for quasi-one-dimensional electron and spin systems coupled to quantum phonons. Special emphasis is put on the influence of the lattice dynamics on the Peierls transition. Using exact diagonalization techniques the ground-state and spectral properties of the Holstein model of spinless fermions and of a frustrated Heisenberg model with magneto-elastic coupling are analyzed on finite chains. In the non-adiabatic regime a (T=0) quantum phase transition from a gapless Luttinger-liquid/spin-fluid state to a gapped dimerized phase occurs at a nonzero critical value of the electron/spin-phonon interaction. To study the nature of the spin-Peierls transition at finite temperatures for the infinite system, an alternative Green’s function approach is applied to the magnetostrictive XY model. With increasing phonon frequency the structure factor shows a remarkable crossover from soft-mode to central-peak behaviour. The results are discussed in relation to recent experiments on CuGeO3.

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Authors and Affiliations

  1. Physikalisches Institut, Universität Bayreuth, D-95440, Bayreuth

    Holger Fehske, Michael Holicki & Alexander Weiße

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  1. Holger Fehske
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  2. Michael Holicki
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  3. Alexander Weiße
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Bernhard Kramer

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© 2000 Friedr. Vieweg & Sohn Verlagsgesellschaft mbH

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Fehske, H., Holicki, M., Weiße, A. (2000). Lattice dynamical effects on the peierls transition in one-dimensional metals and spin chains. In: Kramer, B. (eds) Advances in Solid State Physics 40. Advances in Solid State Physics, vol 40. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0108357

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  • DOI: https://doi.org/10.1007/BFb0108357

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41576-3

  • Online ISBN: 978-3-540-44560-9

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