Eur. Phys. J. B (2018) 91: 204
https://doi.org/10.1140/epjb/e2018-90354-7

Colloquium

Density waves in strongly correlated quantum chains^★

¹ Institut für Theoretische Physik und Astrophysik, Universität Würzburg, 97074 Würzburg, Germany
² Institut für Theoretische Physik, Ernst-Moritz-Arndt-Universität Greifswald, 17487 Greifswald, Germany

^a e-mail: martin.hohenadler@physik.uni-wuerzburg.de
^b e-mail: holger.fehske@physik.uni-greifswald.de

Received: 30 May 2018
Published online: 17 September 2018

Abstract

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-Heeger, and Heisenberg models with quantum phonons, competing fermion-boson and fermion-fermion interactions, as well as symmetry-protected topological states in fermion and anyon models.