QMC simulations establish a zero-temperature charge-4e superconducting phase in the attractive SU(4) Hubbard model, with the charge-2e to charge-4e transition described by deconfined pseudocriticality in an Sp(4) gauge-Higgs theory whose one-loop exponents match the numerics.
Nahum, Note on Wess-Zumino-Witten models and quasiuniversality in 2 + 1 dimensions, Phys
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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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Quantum Charge-4e Superconductivity and Deconfined Pseudocriticality in the Attractive SU(4) Hubbard Model
QMC simulations establish a zero-temperature charge-4e superconducting phase in the attractive SU(4) Hubbard model, with the charge-2e to charge-4e transition described by deconfined pseudocriticality in an Sp(4) gauge-Higgs theory whose one-loop exponents match the numerics.
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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.