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 (6)

• "Deconfined" quantum critical points
• Quantum criticality beyond the Landau-Ginzburg-Wilson paradigm
• Quantum Monte Carlo with Directed Loops
• Néel and Spin-Peierls ground states of two-dimensional SU(N) quantum antiferromagnets
• Finite-size Scaling of Correlation Ratio and Generalized Scheme for the Probability-Changing Cluster Algorithm
• Coarse-grained loop algorithms for Monte Carlo simulation of quantum spin systems

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• Quantum spin models for the SU(n)_1 Wess-Zumino-Witten model
• Berezinskii-Kosterlitz-Thouless transition on regular and Villain types of $q$-state clock models
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• Mott transition in the $\pi$-flux SU($4$) Hubbard model on a square lattice
• Phase diagram and dynamics of the SU($\mathbf{N}$) symmetric Kondo lattice model
• 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
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• Phase Transition In $SU(N)\times U(1)$ Gauge Theory With Many Fundamental Bosons
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• Possible spin liquid states with parton Fermi surfaces in SU(3) ring-exchange model on the triangular lattice
• SU(N) Heisenberg model with multi-column representations
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• Resummation-based Quantum Monte Carlo for Entanglement Entropy Computation
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• Possible uniform-flux chiral spin liquid states in the SU(3) ring-exchange model on the triangular lattice
• Magnetic effects of non-magnetic impurities in gapped short-range resonating valence bond spin liquids
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• $SU(N)\to SU(2)$ symmetry breaking in quantum antiferromagnets
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• Deconfined-critical behavior of the VBS- and nematic-order parameters for the spatially anisotropic S=1-spin model