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Benchmarking the Ising Universality Class in 3 le d < 4 dimensions
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Benchmarking the Ising Universality Class in 3 le d < 4 dimensions
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The Ising critical exponents $\eta$, $\nu$ and $\omega$ are determined up to one-per-thousand relative error in the whole range of dimensions $3 \le d < 4$, using numerical conformal-bootstrap techniques. A detailed comparison is made with results by the resummed epsilon-expansion in varying dimension, the analytic bootstrap, Monte Carlo and non-perturbative renormalization-group methods, finding very good overall agreement. Precise conformal field theory data of scaling dimensions and structure constants are obtained as functions of dimension, improving on earlier findings, and providing benchmarks in $3 \le d < 4$.
Forward citations
Cited by 3 Pith papers
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Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons
Mode-selective spin-phonon coupling in spin-orbit-coupled Mott insulators generates a peak-dip-peak field dependence in spin heat current via Landauer transport and exact diagonalization.
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Dimensional and Spin Interpolation for the O$(n)$ Model: From Exact Anchors to RG-Improved Critical Exponents
Two-anchor interpolation in D and n, constrained by Wilson–Fisher slopes and a monotonicity criterion, yields parameter-light estimates of 3D Ising and Heisenberg exponents plus a forecast for O(2.5).
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Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons
Mode-selective spin-phonon coupling of shear versus compression phonons produces a peak-dip-peak magnetothermal heat current in spin-orbit-coupled Mott insulators.
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