Quantum Monte Carlo simulations locate a continuous boundary phase transition at Q_c=0.310(11) from AF to VBS order in a quantum critical Heisenberg model with dangling chain, yielding exponents y_s=0.81(4), Δ_s=0.660(15), Δ_v=0.204(14).
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Monte Carlo simulations of short-time dynamics in the 3D cubic dimer model extract Tc = 0.672(1), β/ν = 0.581(5), z = 1.92(1), and negative θ = -1.052(5), attributed to SO(5) symmetry and U(1) gauge constraint.
In the X-Q model the Néel-VBS transition is strongly first-order for N>2 because the X term cannot generate enough U(1) fluctuations of the dimer pattern.
Rydberg atoms on a triangular lattice host a deconfined quantum critical point between 1/3 and 2/3 filling phases, with predicted critical exponents, emergent U(1) symmetry in a CFT, and numerical confirmation.
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Deconfined Boundary Phase Transition of a Quantum Critical Heisenberg Model
Quantum Monte Carlo simulations locate a continuous boundary phase transition at Q_c=0.310(11) from AF to VBS order in a quantum critical Heisenberg model with dangling chain, yielding exponents y_s=0.81(4), Δ_s=0.660(15), Δ_v=0.204(14).
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Short-time critical dynamics in the classical cubic dimer model
Monte Carlo simulations of short-time dynamics in the 3D cubic dimer model extract Tc = 0.672(1), β/ν = 0.581(5), z = 1.92(1), and negative θ = -1.052(5), attributed to SO(5) symmetry and U(1) gauge constraint.
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SU($N$) Quantum Spin Model with Weak and Strong First-Order N\'eel to Valence-Bond Solid Transitions
In the X-Q model the Néel-VBS transition is strongly first-order for N>2 because the X term cannot generate enough U(1) fluctuations of the dimer pattern.
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Deconfined quantum criticality on a triangular Rydberg array
Rydberg atoms on a triangular lattice host a deconfined quantum critical point between 1/3 and 2/3 filling phases, with predicted critical exponents, emergent U(1) symmetry in a CFT, and numerical confirmation.