Magnetic order and paramagnetic phases in the quantum J1-J2-J3 honeycomb model

Johannes Reuther, Dmitry A. Abanin, and Ronny Thomale
Phys. Rev. B 84, 014417 – Published 25 July 2011

Abstract

Recent work shows that a quantum spin liquid can arise in realistic fermionic models on a honeycomb lattice. We study the quantum spin-1/2 Heisenberg honeycomb model, considering couplings J1, J2, and J3 up to third nearest neighbors. We use an unbiased pseudofermion functional renormalization-group method to compute the magnetic susceptibility and to determine the ordered and disordered states of the model. Aside from antiferromagnetic-, collinear-, and spiral-order domains, we find a large paramagnetic region at intermediate J2 coupling. For larger J2 within this domain, we find a strong tendency for staggered dimer ordering, while the remaining paramagnetic regime for low J2 shows only weak plaquette and staggered dimer responses. We suggest this regime to be a promising region for looking for quantum spin-liquid states when charge fluctuations would be included.

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  • Received 14 March 2011

DOI:https://doi.org/10.1103/PhysRevB.84.014417

©2011 American Physical Society

Authors & Affiliations

Johannes Reuther1, Dmitry A. Abanin2,3, and Ronny Thomale3,4

  • 1Institut für Theorie der Kondensierten Materie, Karlsruhe Institute of Technology, D-76128 Karlsruhe, Germany
  • 2Princeton Center for Theoretical Science, Princeton University, Princeton, New Jersey 08544, USA
  • 3Department of Physics, Princeton University, Princeton, New Jersey 08544, USA
  • 4Microsoft Station Q, Elings Hall, University of California at Santa Barbara, Santa Barbara, California 93106, USA

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Vol. 84, Iss. 1 — 1 July 2011

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