Phase diagram of the one-dimensional Holstein model of spinless fermions

Abstract

The one-dimensional Holstein model of spinless fermions interacting with dispersionless phonons is studied using a new variant of the density matrix renormalisation group. By examining various low-energy excitations of finite chains, the metal-insulator phase boundary is determined precisely and agrees with the predictions of strong coupling theory in the anti-adiabatic regime and is consistent with renormalisation group arguments in the adiabatic regime. The Luttinger liquid parameters, determined by finite-size scaling, are consistent with a Kosterlitz-Thouless transition.

Minor changes. 4 pages, 4 figures. To appear in Physical Review Letters 80 (1998) 5607

References in corpus (3)

• Density matrix renormalization group study of the polaron problem in the Holstein model
• Density Matrix Approach to Local Hilbert Space Reduction
• Density Matrix Renormalization Group Study of One-Dimensional Acoustic Phonons

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