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Half-filled Landau levels: A continuum and sign-free regularization for three-dimensional quantum critical points

Half-filled Landau levels: A continuum and sign-free regularization for three-dimensional quantum critical points

We explore a method for regulating 2+1D quantum critical points in which the ultraviolet cutoff is provided by the finite density of states of particles in a magnetic field rather than by a lattice. Such Landau-level quantization allows for numerical computations on arbitrary manifolds, like spheres, without introducing lattice defects. …