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

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

1998-02-20

arxiv.org/abs/cond-mat/9802215v2

Phys. Rev. Lett., 80 (1998) 5607

Physics

Condensed Matter

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

Scientific paper

10.1103/PhysRevLett.80.5607

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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