2014/10/01 by A. Sterdyniak, B. Andrei Bernevig, Nigel R. Cooper +2 · 3 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Boson #Chern class #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Lattice (music) #Optical lattice #Physics #Quantum #Quantum Hall effect #Quantum mechanics #Realization (probability) #Reciprocal lattice #Superfluidity #Theoretical physics #Topological Materials and Phenomena #Topological order #Topology (electrical circuits) #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevb.91.035115
published as Phys. Rev. B 91, 035115 (2015) · 14 pages, 19 figures
arxiv created 2014/10/01 · openalex publication_date 2015/01/13 · arxiv updated 2015/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An interesting route to the realization of topological Chern bands in ultracold atomic gases is through the use of optical flux lattices. These models differ from the tight-binding real-space lattice models of Chern insulators that are conventionally studied in solid-state contexts. Instead, they involve the coherent coupling of internal atomic (spin) states, and can be viewed as tight-binding models in reciprocal space. By changing the form of the coupling and the number N of internal spin states, they give rise to Chern bands with controllable Chern number and with nearly flat energy dispersion. We investigate in detail how interactions between bosons occupying these bands can lead to the emergence of fractional quantum Hall states, such as the Laughlin and Moore-Read states. In order to test the experimental realization of these phases, we study their stability with respect to band dispersion and band mixing. We also probe interesting topological phases that emerge in these systems when the Chern number is greater than 1.