Quantum phases of the planar antiferromagnetic J1-J2-J3 Heisenberg-model

Rachid Darradi

Technische Universität Braunschweig, Institut für Theoretische Physik, Braunschweig, Germany

We present results of a complementary analysis of the frustrated planar J1-J2-J3 spin-1/2 quantum-antiferromagnet. Using dynamical functional renormalization group, high-order coupled cluster calculations, and series expansion based on the flow equation method, we have calculated generalized momentum resolved susceptibilities, the ground state energy, the magnetic order parameter, and the elementary excitation gap. From these we determine a quantum phase diagram which shows a large window of a quantum paramagnetic phase situated between the Neel, spiral and collinear states, which are present already in the classical J1-J2-J3 antiferromagnet. Our findings are consistent with substantial plaquette correlations in the quantum paramagnetic phase. The extent of the quantum paramagnetic region is found to be in satisfying agreement between the three different approaches we have employed.

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