Fractional Chern insulators beyond Laughlin states - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Physical Review B: Condensed Matter and Materials Physics (1998-2015) Année : 2013

Fractional Chern insulators beyond Laughlin states

Résumé

We report the first numerical observation of composite fermion (CF) states in fractional Chern insulators (FCI) using exact diagonalization. The ruby lattice Chern insulator model for both fermions and bosons exhibits a clear signature of CF states at filling factors 2/5 and 3/7 (2/3 and 3/4 for bosons). The topological properties of these states are studied through several approaches. Quasihole and quasielectron excitations in FCI display similar features as their fractional quantum hall (FQH) counterparts. The entanglement spectrum of FCI ground states shows an identical fingerprint to its FQH partner. We show that the correspondence between FCI and FQH obeys the emergent symmetry already established, proving the validity of this approach beyond the clustered states. We investigate other Chern insulator models and find similar signatures of CF states. However, some of these systems exhibit strong finite size effects.

Dates et versions

hal-00967681 , version 1 (30-03-2014)

Identifiants

Citer

Tianhan Liu, Cecile Repellin, B. Andrei Bernevig, Nicolas Regnault. Fractional Chern insulators beyond Laughlin states. Physical Review B: Condensed Matter and Materials Physics (1998-2015), 2013, 87, pp.205136. ⟨10.1103/PhysRevB.87.205136⟩. ⟨hal-00967681⟩
217 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More