# Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions

@article{Iqbal2019QuantumAC, title={Quantum and Classical Phases of the Pyrochlore Heisenberg Model with Competing Interactions}, author={Yasir Iqbal and Tobias Muller and P. S. Ghosh and Michel J. P. Gingras and Harald O. Jeschke and Stephan Rachel and Johannes Reuther and Ronny Thomale}, journal={Physical Review X}, year={2019} }

We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin-$S$ in the presence of nearest-neighbor $J_{1}$ and second-nearest-neighbor $J_{2}$ exchange interactions. By employing the pseudofermion functional renormalization group (PFFRG) method, we find, for $S=1/2$ and $S=1$, an extended quantum spin liquid phase centered around $J_{2}=0$, which is shown to be robust against the introduction of breathing anisotropy. The effects of temperature, quantum fluctuations…

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