Functional renormalization group for three-dimensional quantum magnetism
Yasir Iqbal, Ronny Thomale, Francesco Parisen Toldin, Stephan Rachel, and Johannes Reuther
TL;DR
This paper develops a pseudofermion functional renormalization group method to study frustrated quantum magnetism in three dimensions, enabling quantitative analysis where other numerical methods struggle.
Contribution
It introduces a 3D PFFRG scheme for quantum spin systems, addressing limitations of existing approaches in frustrated 3D magnetism.
Findings
Successfully applied to simple cubic J1-J2-J3 antiferromagnet
Benchmarking shows good agreement with other methods
Enables analysis of quantum observables in 3D systems
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 -- quantum Heisenberg antiferromagnet, and benchmark it against other approaches, if available.
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