Ground States of the SU(N) Heisenberg Model

Abstract

The SU(N) Heisenberg model with various single-row representations is investigated by quantum Monte Carlo simulations. While the zero-temperature phase boundary agrees qualitatively with the theoretical predictions based on the 1/N expansion, some unexpected features are also observed. For N>=5 with the fundamental representation, for example, it is suggested that the ground states possess exact or approximate U(1) degeneracy. In addition, for the representation of Young tableau with more than one column, the ground state shows no valence-bond-solid order even at N greater than the threshold value.

4 pages, 8 figures

References in corpus (3)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets

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• Simplex solids in SU(N) Heisenberg models on the kagome and checkerboard lattices
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• A Scaling Relation for Dangerously Irrelevant Symmetry-Breaking Fields
• Marshall-positive SU($N$) quantum spin systems and classical loop models: A practical strategy to design sign-problem-free spin Hamiltonians
• DSQSS: Discrete Space Quantum Systems Solver
• Magnetic phases of spin-3/2 fermions on a spatially anisotropic square lattice
• Resummation-based updates for Stochastic Series Expansion Quantum Monte Carlo
• Resummation-based Quantum Monte Carlo for Entanglement Entropy Computation
• Transition from band insulator to Mott insulator and formation of local moment in half-filled ionic SU($N$) Hubbard model
• Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids
• Finite temperature dynamical properties of SU($N$) fermionic Hubbard models in the spin-incoherent regime
• Competition between Neel, Haldane nematic, plaquette valence bond solid, and $(\pi ,\pi )$ valence bond solid phases in SU(N) analogs of $S=1$ square-lattice antiferromagnets
• $SU(N)\to SU(2)$ symmetry breaking in quantum antiferromagnets