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

R. J. Bursill·R. H. McKenzie·C. J. Hamer
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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.

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R. J. Bursill, R. H. McKenzie, C. J. Hamer. 1998-06-13. Phase diagram of the one-dimensional Holstein model of spinless fermions. https://doi.org/10.1103/physrevlett.80.5607

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