Magnetic order and paramagnetic phases in the quantum<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>J</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>J</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>J</mml:mi><mml:mn>3</mml:mn></mml:msub></mml:math>honeycomb model

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 ${J}_{1}$, ${J}_{2}$, and ${J}_{3}$ 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 ${J}_{2}$ coupling. For larger ${J}_{2}$ within this domain, we find a strong tendency for staggered dimer ordering, while the remaining paramagnetic regime for low ${J}_{2}$ 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.

Locations

• arXiv (Cornell University) - View - PDF
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• Physical Review B - View