Journal article
Functional renormalization group for three-dimensional quantum magnetism
Y Iqbal, R Thomale, F Parisen Toldin, S Rachel, J Reuther
Physical Review B | AMER PHYSICAL SOC | Published : 2016
Abstract
We formulate a pseudofermion functional renormalization group (PFFRG) scheme to address frustrated quantum magnetism in three dimensions. In a scenario where many numerical approaches fail due to sign problem or small system size, three-dimensional (3D) PFFRG allows for a quantitative investigation of the quantum spin problem and its observables. We illustrate 3D PFFRG for the simple cubic J1-J2-J3 quantum Heisenberg antiferromagnet, and benchmark it against other approaches, if available.
Grants
Awarded by Seventh Framework Programme
Funding Acknowledgements
We thank F. F. Assaad for discussions on QMC. The work was supported by the European Research Council through ERC-StG-TOPOLECTRICS-Thomale-336012. Y.I. and R.T. thank the DFG (Deutsche Forschungsgemeinschaft) for financial support through SFB 1170. F.P.T. is supported by the DFG through DFG-FOR 1162 (AS 120/6-2). S.R. is supported by the DFG through SFB 1143 and by the Helmholtz association through VI-521. J.R. was supported by the Freie Universitat Berlin within the Excellence Initiative of the German Research Foundation. 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). We thank the Center for Information Services and High Performance Computing (ZIH) at TU Dresden for generous allocations of computer time.