2026-04-17T05:34:20Zhttps://recercat.cat/oai/requestoai:recercat.cat:2445/531632025-12-05T16:38:33Zcom_2072_1057col_2072_478823col_2072_478917
RECERCAT
author
Grass, Tobias
author
Juliá-Díaz, Bruno
author
Lewenstein, Maciej
2014-04-02T06:51:25Z2014-04-02T06:51:25Z2014-01-272014-04-02T06:51:25Z
Topological order has proven a useful concept to describe quantum phase transitions which are not captured by the Ginzburg-Landau type of symmetry-breaking order. However, lacking a local order parameter, topological order is hard to detect. One way to detect it is via direct observation of anyonic properties of excitations which are usually discussed in the thermodynamic limit, but so far has not been realized in macroscopic quantum Hall samples. Here we consider a system of few interacting bosons subjected to the lowest Landau level by a gauge potential, and theoretically investigate vortex excitations in order to identify topological properties of different ground states. Our investigation demonstrates that even in surprisingly small systems anyonic properties are able to characterize the topological order. In addition, focusing on a system in the Laughlin state, we study the robustness of its anyonic behavior in the presence of tunable finite-range interactions acting as a perturbation. A clear signal of a transition to a different state is reflected by the system's anyonic properties.
(c) American Physical Society, 2014 info:eu-repo/semantics/openAccess
Teoria quàntica de camps
Efecte Hall quàntic
Topologia
Partícules (Física nuclear)
Quantum field theory
Quantum Hall effect
Topology
Particles (Nuclear physics)
Topological phases in small quantum Hall samples
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion