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DY: Fachverband Dynamik und Statistische Physik
DY 62: Critical Phenomena and Phase Transitions
DY 62.1: Vortrag
Freitag, 20. März 2020, 09:30–09:45, ZEU 118
Quasiparticles as Detector of Topological Quantum Phase Transitions — •Sourav Manna1, Srivatsa Nagara Srinivasa Prasanna1, Julia Wildeboer2, and Anne E. B. Nielsen1 — 1Max-Planck-Institut fur Physik komplexer Systeme, D-01187 Dresden, Germany — 2Department of Physics, Arizona State University, Tempe, AZ 85287, USA
Phases and phase transitions provide an important framework to understand the physics of strongly correlated quantum many-body systems. Topologically ordered phases of matter are particularly challenging in this context, because they are characterized by long-range entanglement and go beyond the Landau-Ginzburg theory. A few tools have been developed to study topological phase transitions, but the needed computations are generally demanding, they typically require the system to have particular boundary conditions, and they often provide only partial information. There is hence a high demand for developing further probes. Here, we propose to use the study of quasiparticle properties to detect phase transitions. Topologically ordered states support anyonic quasiparticles with special braiding properties and fractional charge. Being able to generate a given type of anyons in a system is a direct method to detect the topology, and the approach is independent from the choice of boundary conditions. We provide three examples, and for all of them we find that it is sufficient to study the anyon charge to detect the phase transition point. This makes the method numerically cheap.