In this Letter, we relate the factorization for e^{+}e^{-}→h_{1}h_{2}X to the factorization for energy-energy correlators in the collinear limit. This enables us to give a nonperturbative proof of factorization for the energy correlators, relate the energy correlator jet function to transverse-momentum-sensitive dihadron fragmentation functions, and provide a rigorous description of the confinement transition region.
Pauli crystals are unique geometric structures of noninteracting fermions, resembling crystals, that emerge solely from Fermi statistics and confinement. Unlike genuine quantum crystals that arise from interparticle interactions, Pauli crystals do not break translation symmetry but nonetheless exhibit nontrivial many-body correlations. In this Letter, we explore Pauli crystal formation in a cavity-fermion setup. We analytically show that when coupled to a cavity, degeneracy in Pauli crystals can trigger zero-threshold transitions to superradiance. This superradiance is accompanied by the emergence of a genuine quantum crystalline state, wherein the atomic density is periodically modulated. We substantiate our findings using state-of-the-art numerical simulations. The combined interplay between statistics, confinement geometry, and interactions mediated by light thus facilitates a novel pathway to quantum crystallization.
We consider a 2D XY model subjected to time-correlated noise, a model of direct relevance to active crystals, which were shown recently to be able to support very large deformations without melting in the presence of persistent fluctuations. We find that our persistent XY model can remain quasiordered in spite of correlations decaying much faster than allowed in equilibrium. We then investigate theoretically and numerically the order-disorder transition and conclude that it remains of the Berezinskii-Kosterlitz-Thouless type, but with scaling exponents that vary with the persistence time of the noise.
We report electric field-controlled modulation of the Fermi surface topology and explore its effects on the superconducting state in alternating-angle twisted quadrilayer graphene (TQG). The unique combination of flat and dispersive bands in TQG allows us to simultaneously tune the band structure through carrier density, n, and displacement field, D. From density-dependent Shubnikov-de Haas quantum oscillations and Hall measurements, we quantify the D-dependent bandwidth of the flat and dispersive bands and their hybridization. In the high |D| regime, the increased bandwidth favors the single particle bands, which coincides exactly with the vanishing of the superconducting transition temperature T_{c}, showing that superconductivity in TQG is strongly bound to the symmetry-broken state. For a range of lower |D| values, a Lifshitz transition occurs when the flat and dispersive band Fermi surfaces merge within the ν=+2 symmetry-broken state. The superconducting state correspondingly shows an enhanced T_{c}, suggesting that the superconducting condensate is strongly dependent on the Fermi surface topology and density of states within this symmetry-broken state.
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