Tensor-Netzwerke fuer Chirale Topologische Ordnung

• Antragsteller: Professor Dr. Roman Orus
• Fachliche Zuordnung: Theoretische Physik der kondensierten Materie ; Optik, Quantenoptik und Physik der Atome, Moleküle und Plasmen
• Förderung: Förderung von 2014 bis 2020
• Projektkennung: Deutsche Forschungsgemeinschaft (DFG) - Projektnummer 262801491

• Erstellungsjahr: 2018

Zusammenfassung der Projektergebnisse

This DFG project allowed us to study in detail several aspects of chiral topological order. Our results on SPT and SPt phases for 1d systems revealed new phases of matter with topological and symmetry properties which could be assessed accurately using Matrix Product States. The work was later extended to 2d systems, where several chiral topological phases, either exact or conjectured, were assessed using Projected Entangled Pair States and entanglement spectrum. Finally, our results motivated a new research direction, namely, the effect of dissipation and finite temperature in 2d topological order, for which we already developed some of the relevant tensor network tools. Work along this promising new direction is currently in progress.

Projektbezogene Publikationen (Auswahl)

• “All spin-1 topological phases in a single spin-2 chain”, Phys. Rev. B 91, 205118 (2015)
  A. Kshetrimayum, H.-Hao Tu, R. Orus
  (Siehe online unter https://doi.org/10.1103/PhysRevB.91.205118)
• “Symmetry-protected intermediate trivial phases in quantum spin chains”, Phys. Rev. B 93, 245112 (2016)
  A. Kshetrimayum, H.-Hao Tu, R. Orus
  (Siehe online unter https://doi.org/10.1103/PhysRevB.93.245112)
• “Systematic construction of spin liquids on the square lattice from tensor networks with SU(2) symmetry”, Phys. Rev. B 94, 205124 (2016)
  M. Mambrini, R. Orus, D. Poilblanc
  (Siehe online unter https://doi.org/10.1103/PhysRevB.94.205124)
• “The spin-1/2 Kagome XXZ model in a field: competition between lattice nematic and solid orders”, Phys. Rev. B 94, 235146 (2016)
  A. Kshetrimayum, T. Picot, R. Orus, D. Poilblanc
  (Siehe online unter https://doi.org/10.1103/PhysRevB.94.235146)
• “A simple tensor network algorithm for two-dimensional steady states”, Nature Communications 8, 1291 (2017)
  A. Kshetrimayum, H. Weimer, R. Orus
  (Siehe online unter https://doi.org/10.1038/s41467-017-01511-6)