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Finite-temperature phase diagram of the Heisenberg-Kitaev model

Johannes Reuther, Ronny Thomale, and Simon Trebst
Phys. Rev. B 84, 100406(R) – Published 23 September 2011

Abstract

We discuss the finite-temperature phase diagram of the Heisenberg-Kitaev model on the hexagonal lattice, which has been suggested to describe the spin-orbital exchange in the Mott-insulating iridate Na2IrO3. The model exhibits magnetically ordered ground states well beyond the isotropic Heisenberg limit as well as a gapless spin-liquid phase around the anisotropic Kitaev limit. Using a pseudofermion functional renormalization group (RG) approach we extract both the Curie-Weiss scale and the critical ordering scale from the RG flow of the magnetic susceptibility. The Curie-Weiss scale switches sign—indicating a transition of the dominant exchange from antiferromagnetic to ferromagnetic—deep in the magnetically ordered regime for which we find no significant frustration. We discuss our results in light of recent susceptibility measurements for Na2IrO3.

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  • Received 16 May 2011

DOI:https://doi.org/10.1103/PhysRevB.84.100406

©2011 American Physical Society

Authors & Affiliations

Johannes Reuther1, Ronny Thomale2,3, and Simon Trebst3

  • 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany
  • 2Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 3Microsoft Research, Station Q, University of California, Santa Barbara, California 93106, USA

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Issue

Vol. 84, Iss. 10 — 1 September 2011

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