Persisting topological order via geometric frustration

Kai Phillip Schmidt
Phys. Rev. B 88, 035118 – Published 16 July 2013
PDFHTMLExport Citation

Abstract

We introduce a toric code model on the dice lattice which is exactly solvable and displays topological order at zero temperature. In the presence of a magnetic field, the flux dynamics is mapped to the highly frustrated transverse field Ising model on the kagome lattice. This correspondence suggests an intriguing disorder by disorder phenomenon in a topologically ordered system implying that the topological order is extremely robust due to the geometric frustration. Furthermore, a connection between fully frustrated transverse field Ising models and topologically ordered systems is demonstrated which opens an exciting physical playground due to the interplay of topological quantum order and geometric frustration.

  • Figure
  • Figure
  • Received 8 May 2013

DOI:https://doi.org/10.1103/PhysRevB.88.035118

©2013 American Physical Society

Authors & Affiliations

Kai Phillip Schmidt*

  • Lehrstuhl für Theoretische Physik I, Otto-Hahn-Straße 4, TU Dortmund, 44221 Dortmund, Germany

  • *kai.schmidt@tu-dortmund.de

Article Text (Subscription Required)

Click to Expand

Supplemental Material (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 88, Iss. 3 — 15 July 2013

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review B

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×