Details

Autor(en) / Beteiligte

• Andrews, Bartholomew
• Neupert, Titus
• Möller, Gunnar

Titel

Stability, phase transitions, and numerical breakdown of fractional Chern insulators in higher Chern bands of the Hofstadter model

Ist Teil von

• Physical review. B, 2021-09, Vol.104 (12), p.1, Article 125107

Ort / Verlag

College Park: American Physical Society

Erscheinungsjahr

2021

Link zum Volltext

Quelle

American Physical Society

Beschreibungen/Notizen

• The Hofstadter model is a popular choice for theorists investigating the fractional quantum Hall effect on lattices, due to its simplicity, infinite selection of topological flat bands, and increasing applicability to real materials. In particular, fractional Chern insulators in bands with Chern number |C| > 1 can demonstrate richer physical properties than continuum Landau level states and have recently been detected in experiments. Motivated by this, we examine the stability of fractional Chern insulators with higher Chern number in the Hofstadter model, using large-scale infinite density matrix renormalization group (iDMRG) simulations on a thin cylinder. We confirm the existence of fractional states in bands with Chern numbers C = 1, 2, 3, 4, 5 at the filling fractions predicted by the generalized Jain series [Phys. Rev. Lett. 115, 126401 (2015)]. Moreover, we discuss their metal-to-insulator phase transitions, as well as the subtleties in distinguishing between physical and numerical stability. Finally, we comment on the relative suitability of fractional Chern insulators in higher Chern number bands for proposed modern applications.