Metal-insulator transition in the one-dimensional Holstein model at half filling
- 15 September 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 60 (11), 7950-7955
- https://doi.org/10.1103/physrevb.60.7950
Abstract
We study the one-dimensional Holstein model with spin- electrons at half filling. Ground-state properties are calculated for long chains with great accuracy using the density-matrix renormalization-group method and extrapolated to the thermodynamic limit. We show that for small electron-phonon coupling or large phonon frequency, the insulating Peierls ground state predicted by mean-field theory is destroyed by quantum lattice fluctuations and that the system remains in a metallic phase with a nondegenerate ground state and power-law electronic and phononic correlations. When the electron-phonon coupling becomes large or the phonon frequency small, the system undergoes a transition to an insulating Peierls phase with a twofold degenerate ground state, long-range charge-density-wave order, a dimerized lattice structure, and a gap in the electronic excitation spectrum.
Keywords
This publication has 39 references indexed in Scilit:
- Effect of Lattice Zero-Point Motion on Electronic Properties of the Peierls-Fröhlich StatePhysical Review Letters, 1992
- What Are One-Dimensional Conductors?Published by Springer Science and Business Media LLC ,1988
- Two-cutoff renormalization and quantum versus classical aspects for the one-dimensional electron-phonon systemPhysical Review B, 1984
- Phase diagram of one-dimensional electron-phonon systems. II. The molecular-crystal modelPhysical Review B, 1983
- Soliton excitations in polyacetylenePhysical Review B, 1980
- Solitons in PolyacetylenePhysical Review Letters, 1979
- A new theory of the spin-Peierls transition with special relevance to the experiments on TTFCuBDTPhysical Review B, 1979
- Instability of the uniform antiferromagnetic chainSolid State Communications, 1971
- Studies of polaron motionAnnals of Physics, 1959
- Studies of polaron motionAnnals of Physics, 1959