Interacting topological mirror excitonic insulator in one dimension

Classification of Interacting Topological Floquet Phases in One Dimension

Periodic driving of a quantum system can enable new topological phases with no analog in static systems. In this paper, we systematically classify one-dimensional topological and symmetry-protected topological (SPT) phases in interacting fermionic and bosonic quantum systems subject to periodic driving, which we dub Floquet SPTs (FSPTs). For physical realizations of interacting FSPTs, many-body...

The Metal–insulator Transition in One Dimension

The low–energy excited states of a system of interacting one–dimensional fermions in a conducting state are collective charge and spin density oscillations. The unusual physical properties of such a system (called “Luttinger liquid”) are characterized by the velocities uρ and uσ of the charge and spin excitations, as well as by a parameter Kρ that determines the power law behavior of correlatio...

A solvable model for excitonic complexes in one dimension

It is known experimentally that stable few-body clusters containing negatively-charged electrons (e) and positively-charged holes (h) can exist in low-dimensional semiconductor nanostructures. In addition to the familiar exciton (e+h), three-body ‘charged excitons’ (2e+h and 2h+e) have also been observed. Much less is known about the properties of such charged excitons since three-body problems...

Topological superconducting phases in one dimension

Topological phases of fermions in one dimension

In this paper we show how the classification of topological phases in insulators and superconductors is changed by interactions, in the case of one-dimensional systems. We focus on the time-reversal-invariant Majorana chain (BDI symmetry class). While the band classification yields an integer topological index k, it is known that phases characterized by values of k in the same equivalence class...