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Title: Topological phases in small quantum Hall samples
Author: Grass, Tobias
Juliá-Díaz, Bruno
Lewenstein, M.
Keywords: Teoria quàntica de camps
Efecte Hall quàntic
Partícules (Física nuclear)
Quantum field theory
Quantum Hall effect
Particles (Nuclear physics)
Issue Date: 27-Jan-2014
Publisher: American Physical Society
Abstract: 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.
Note: Reproducció del document publicat a:
It is part of: Physical Review A, 2014, vol. 89, num. 1, p. 013623-1-013623-12
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ISSN: 1050-2947
Appears in Collections:Articles publicats en revistes (Física Quàntica i Astrofísica)

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