Magnetic order and paramagnetic phases in the quantum J1-J 2-J3 honeycomb model

Johannes Reuther, Dmitry A. Abanin, Ronny Thomale

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104 Scopus citations


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.

Original languageEnglish (US)
Article number014417
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number1
StatePublished - Jul 11 2011

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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