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- W3099417059 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 $rm CuGeO_3$." @default.
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- W3099417059 date "2007-10-28" @default.
- W3099417059 modified "2023-10-17" @default.
- W3099417059 title "Lattice dynamical effects on the peierls transition in one-dimensional metals and spin chains" @default.
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- W3099417059 doi "https://doi.org/10.1007/bfb0108357" @default.
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