Journal article

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

Yasir Iqbal, Tobias Mueller, Pratyay Ghosh, Michel JP Gingras, Harald Jeschke, Stephan Rachel, Johannes Reuther, Ronny Thomale

Physical Review X | AMER PHYSICAL SOC | Published : 2019


We investigate the quantum Heisenberg model on the pyrochlore lattice for a generic spin S in the presence of nearest-neighbor J1 and second-nearest-neighbor J2 exchange interactions. By employing the pseudofermion functional renormalization group method, we find, for S=1/2 and S=1, an extended quantum-spin-liquid phase centered around J2=0, which is shown to be robust against the introduction of breathing anisotropy. The effects of temperature, quantum fluctuations, breathing anisotropies, and a J2 coupling on the nature of the scattering profile, and the pinch points, in particular, are studied. For the magnetic phases of the J1-J2 model, quantum fluctuations are shown to renormalize phase..

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University of Melbourne Researchers


Awarded by European Research Council

Awarded by DFG (Deutsche Forschungsgemeinschaft)

Awarded by DFG

Awarded by Australian Research Council Future Fellowship

Funding Acknowledgements

Y. I. and R. T. thank F. Becca and S. Bieri for useful discussions. Y. I. acknowledges helpful discussions with J. Richter and thanks O. Derzhko for providing details of the pyrochlore ferromagnet QMC calculations. S. R. acknowledges discussions with D. Inosov, E. Andrade, J. Hoyos, and M. Vojta. The work was supported by the European Research Council through ERC-StG-TOPOLECTRICS-Thomale-336012. T. M. and R. T. thank the DFG (Deutsche Forschungsgemeinschaft) for financial support through SFB 1170 (project B04). J. R. is supported by the Freie Universitat Berlin within the Excellence Initiative of the German Research Foundation. S. R. acknowledges support from the DFG through SFB 1143 and from an Australian Research Council Future Fellowship (FT180100211). The work at the University of Waterloo was supported by the Canada Research Chair program (M. G., tier 1) and by the Perimeter Institute (PI) for Theoretical Physics. Research at the Perimeter Institute is supported by the Government of Canada through Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Research, Innovation and Science. Y. I. acknowledges the kind hospitality of the Helmholtz-Zentrum fur Materialien und Energie, Berlin, where part of the work was carried out. We gratefully acknowledge the Gauss Centre for Supercomputing e.V. for funding this project by providing computing time on the GCS Supercomputer SuperMUC at Leibniz Supercomputing Centre (LRZ).