Monte Carlo simulations on lattices up to 48 cubed produce estimates of critical exponents for the 3D dipolar universality class, confirm a continuous phase transition, and show restoration of rotation invariance.
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Bootstrapping Heisenberg Magnets and their Cubic Instability,
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representative citing papers
Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.
Bose-Kondo impurities with spins S=1/2, 1, and 3/2 each flow to distinct stable interacting conformal defects despite sharing the same symmetry and anomaly.
Conformal bootstrap with a sparseness condition produces a cone whose apex matches QMC and fuzzy sphere data for the DQCP, supporting multicriticality via a relevant SO(5) singlet scalar.
A prototype successfully upgrades low-order extremal flow solutions to high numerical order for gap maximization in a simple spinning modular bootstrap test case.
Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.
Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.
GoBlocks is a parallel Go package for recursive conformal-block evaluation that speeds moderate-precision bootstrap work and is demonstrated on mixed-correlator 3D Ising optimisation.
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.
citing papers explorer
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A Monte Carlo Study of the Dipolar Universality Class in Three Dimensions
Monte Carlo simulations on lattices up to 48 cubed produce estimates of critical exponents for the 3D dipolar universality class, confirm a continuous phase transition, and show restoration of rotation invariance.
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Quantum Rotors on the Fuzzy Sphere and the Cubic CFT
Adding a cubic two-body interaction to quantum rotors on the fuzzy sphere isolates the cubic CFT critical point, enabling calculation of scaling dimensions for key operators that match existing benchmarks.
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Fortuitous Universality of Bose-Kondo Impurities
Bose-Kondo impurities with spins S=1/2, 1, and 3/2 each flow to distinct stable interacting conformal defects despite sharing the same symmetry and anomaly.
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Bootstrap Cone of the Multicritical Deconfined Quantum Critical Point
Conformal bootstrap with a sparseness condition produces a cone whose apex matches QMC and fuzzy sphere data for the DQCP, supporting multicriticality via a relevant SO(5) singlet scalar.
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Upgrading Extremal Flows in the Space of Derivatives
A prototype successfully upgrades low-order extremal flow solutions to high numerical order for gap maximization in a simple spinning modular bootstrap test case.
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Conformal Bootstrap with Duality-Inspired Fusion Rule
Imposing a duality-inspired fusion rule that forbids the [ε] sector from appearing in the [ε] × [ε] OPE yields numerical bounds on (Δ_σ, Δ_ε) that include the 2d Ising model but exclude the 3d Ising model.
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Functional Dimensional Regularization for O(N) Models
Functional dimensional regularization applied to the O(N) universality class yields critical exponents comparable to advanced non-perturbative methods while retaining efficiency and rapid convergence.
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Efficient Conformal Block Evaluation with GoBlocks
GoBlocks is a parallel Go package for recursive conformal-block evaluation that speeds moderate-precision bootstrap work and is demonstrated on mixed-correlator 3D Ising optimisation.
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Coherent and dissipative dynamics at quantum phase transitions
A review of equilibrium and dynamic scaling laws at quantum phase transitions, including quenches and dissipative effects treated as perturbations to critical regimes.