Quantum Phases of the Planar Antiferromagnetic J_1-J_2-J_3 Heisenberg-Model

TL;DR

This paper investigates the quantum phase diagram of the frustrated J_1-J_2-J_3 antiferromagnetic model using multiple advanced computational methods, revealing a large quantum paramagnetic phase with significant plaquette correlations.

Contribution

It provides a comprehensive analysis of the quantum phases of the J_1-J_2-J_3 model using three different approaches, identifying a substantial quantum paramagnetic region.

Findings

Identification of a large quantum paramagnetic phase

Agreement among three computational methods

Evidence of plaquette correlations in the paramagnetic phase

Abstract

We present results of a complementary analysis of the frustrated planar J_1-J_2-J_3 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 J_1-J_2-J_3 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.