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Benchmarking the Ising Universality Class in 3 le d < 4 dimensions

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arxiv 2210.03051 v3 pith:NXS6LVMD submitted 2022-10-06 hep-th cond-mat.stat-mech

Benchmarking the Ising Universality Class in 3 le d < 4 dimensions

classification hep-th cond-mat.stat-mech
keywords dimensionsdimensionisingagreementanalyticbenchmarkingbenchmarksbootstrap
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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 $3 \le d < 4$.

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Cited by 3 Pith papers

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  1. Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons

    cond-mat.str-el 2026-03 unverdicted novelty 7.0

    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.

  2. Dimensional and Spin Interpolation for the O$(n)$ Model: From Exact Anchors to RG-Improved Critical Exponents

    cond-mat.stat-mech 2026-07 conditional novelty 6.0

    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).

  3. Understanding Anomalous Magnetothermal Transport via Disentangling Shear and Compression Phonons

    cond-mat.str-el 2026-03 unverdicted novelty 5.0

    Mode-selective spin-phonon coupling of shear versus compression phonons produces a peak-dip-peak magnetothermal heat current in spin-orbit-coupled Mott insulators.