Correlation Effect on Peierls Transition

Abstract

The effect of correlation on Peierls transition, which is accompanied by a dimerization, t_d, of a bond alternation for transfer energy, has been examined for a half-filled one-dimensional electron system with on-site repulsive interaction (U). By applying the renormalization group method to the interaction of the bosonized Hamiltonian, the dimerization has been calculated variationally and self-consistently with a fixed electron-phonon coupling constant (λ) and it is shown that t_d takes a maximum as a function of U. The result is examined in terms of charge gap and spin gap and is compared with that of the numerical simulation by Hirsch [Phys. Rev. Lett 51 (1983) 296]. Relevance to the spin Peierls transition in organic conductors is discussed.

4 pages, 4 figures, to be published in J. Phys. Soc. Jpn. 71 No.3 (2002)

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• Tomonaga-Luttinger parameters and spin excitations in the dimerized extended Hubbard model
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• Competition of Dimerization and Charge Ordering in the Spin-Peierls State of Organic Conductors
• Critical behavior of the extended Hubbard model with bond dimerization
• The Peierls-Hubbard model at weak coupling
• On the correllation effect in Peierls-Hubbard chains
• Long range alternating spin current order in a quantum wire with modulated spin-orbit interactions