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Using unbiased quantum Monte Carlo simulations we investigate the quantum phase transitions in SU(N) Hubbard models on square and honeycomb lattices. We construct and measure dimensionless fermionic correlation and order parameter ratios, which provide precise and independent estimates for the couplings at which a mass gap opens in the single particle spectrum and at which the order sets in. Furthermore these correlation ratios prove to be highly sensitive to weak order and render the need of pinning fields unnecessary. In particular, we study the nature and location of the phase transition between the semi-metal and Mott insulating antiferromagnetic state in the SU(2) Hubbard model on the honeycomb as well as the potentially deconfined Neel to valence bond solid phase transition in the SU(6) Hubbard model on the square lattice.

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Thomas Lang, Boston University
Seminarraum Theoretische Physik
Contact: Simon Trebst