Monte Carlo Study of Compact Quantum Electrodynamics at larger Fermion Flavors

Based on our development in quantum Monte Carlo (QMC) technique (arXiv:1807.07574), the compact U(1) lattice gauge theory coupled to fermionic matter at (2+1)D is now accessible with large-scale numerical simulations, and the phase diagram as a function of fermion flavor and the strength of gauge fluctuations is mapped out. Here we focus on the large fermion flavor case (Nf>=8), where the deconfine-confine phase transition is investigated in detail. In the deconfine phase, fermions coupled to the fluctuating gauge field to form U(1) spin liquid and in the confined phase, fermions are gapped out into valence bond solid. The different behaviors in terms of gauge flux, spectral of gauge-invariant observables as well as the deconfine-confine phase transition (QED3-Gross-Neveu-type) are presented.