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.
@article{arxiv.1604.03438,
title = {Functional renormalization group for three-dimensional quantum magnetism},
author = {Yasir Iqbal and Ronny Thomale and Francesco Parisen Toldin and Stephan Rachel and Johannes Reuther},
journal= {arXiv preprint arXiv:1604.03438},
year = {2016}
}