The charge density wave (CDW) instability, usually occurring in low-dimensional metals, has
been a topic of interest for longtime. However, some very fundamental aspects of the …

We review salient structural and electronic features associated with the concomitant Peierls–
charge density wave (CDW) instabilities observed in most one-dimensional (1D) inorganic …

We review the recent progress made in the application of the renormalization group method
to the interacting quasi-one-dimensional electron gas. From the functional integral …

We review exact numerical results for one-dimensional quantum systems with half-filled
bands. The topics covered include Peierls transitions in Holstein, Fröhlich, Su-Schrieffer …

We study the Holstein model of spinless fermions, which at half filling exhibits a quantum
phase transition from a metallic Tomonaga-Luttinger liquid phase to an insulating charge …

We study the one-dimensional Holstein model with spin-1 2 electrons at half filling. Ground-
state properties are calculated for long chains with great accuracy using the density-matrix …

We describe a coupled cluster framework for coupled systems of electrons and harmonic
phonons. Neutral and charged excitations are accessed via the equation-of-motion version …

The one-dimensional Holstein model of spinless fermions interacting with dispersionless
phonons is studied using a new variant of the density matrix renormalization group. By …

Phase diagram of the Hubbard-Holstein model in the coexistence of electron-electron and
electron-phonon interactions has been theoretically obtained with the density-matrix …

The Hubbard-Holstein model is one of the simplest to incorporate both electron-electron and
electron-phonon interactions. In one dimension at half filling, the Holstein electron-phonon …