vix.ing · top · new · best · stats · spec

Fractional Quantum Hall Phases of Bosons with Tunable Interactions: From the Laughlin Liquid to a Fractional Wigner Crystal

2018/09/12 by Tobias Graß, Przemysław Bienias, Przemyslaw Bienias +4
Physics and Astronomy · #Angular momentum #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Electron #Fractional quantum Hall effect #Parity (physics) #Phase (matter) #Phase diagram #Phase transition #Physics #Quantum Hall effect #Quantum and electron transport phenomena #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Quantum phases #Quantum spin Hall effect #State of matter #Wigner crystal #cond-mat.quant-gas #cond-mat.str-el #quant-ph

paper · pdf · doi:10.1103/physrevlett.121.253403

published as Phys. Rev. Lett. 121, 253403 (2018) · 5 pages, 5 figures, plus Supplemental Material

arxiv created 2018/09/12 · openalex publication_date 2018/12/18 · arxiv updated 2018/12/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Highly tunable platforms for realizing topological phases of matter are emerging from atomic and photonic systems and offer the prospect of designing interactions between particles. The shape of the potential, besides playing an important role in the competition between different fractional quantum Hall phases, can also trigger the transition to symmetry-broken phases, or even to phases where topological and symmetry-breaking order coexist. Here, we explore the phase diagram of an interacting bosonic model in the lowest Landau level at half filling as two-body interactions are tuned. Apart from the well-known Laughlin liquid, Wigner crystal, stripe, and bubble phases, we also find evidence of a phase that exhibits crystalline order at fractional filling per crystal site. The Laughlin liquid transits into this phase when pairs of bosons strongly repel each other at relative angular momentum 4ℏ. We show that such interactions can be achieved by dressing ground-state cold atoms with multiple different-parity Rydberg states.

Citations