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- W4225938250 abstract "We employ a recently developed variant of the functional renormalization group method for spin systems, the so-called pseudo Majorana functional renormalization group, to investigate three-dimensional spin-1/2 Heisenberg models at finite temperatures. We study unfrustrated and frustrated Heisenberg systems on the simple cubic and pyrochlore lattices. Comparing our results with other quantum many-body techniques, we demonstrate a high quantitative accuracy of our method. Particularly, for the unfrustrated simple cubic lattice antiferromagnet ordering temperatures obtained from finite-size scaling of one-loop data deviate from error controlled quantum Monte Carlo results by $sim5%$ and we further confirm the established values for the critical exponent $nu$ and the anomalous dimension $eta$. As the PMFRG yields results in good agreement with QMC, but remains applicable when the system is frustrated, we next treat the pyrochlore Heisenberg antiferromagnet as a paradigmatic magnetically disordered system and find nearly perfect agreement of our two-loop static homogeneous susceptibility with other methods. We further investigate the broadening of pinch points in the spin structure factor as a result of quantum and thermal fluctuations and confirm a finite width in the extrapolated limit $Trightarrow0$. While extensions towards higher loop orders $ell$ seem to systematically improve our approach for magnetically disordered systems we also discuss subtleties when increasing $ell$ in the presence of magnetic order. Overall, the pseudo Majorana functional renormalization group is established as a powerful many-body technique in quantum magnetism with a wealth of possible future applications." @default.
- W4225938250 created "2022-05-05" @default.
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- W4225938250 date "2021-12-15" @default.
- W4225938250 modified "2023-09-22" @default.
- W4225938250 title "Quantitative functional renormalization for three-dimensional quantum Heisenberg models" @default.
- W4225938250 hasPublicationYear "2021" @default.
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