Phase diagram and dynamics of the projected SO(5)-symmetric model of high-$T_c$ superconductivity

Abstract

We present numerical studies of a quantum ``projected'' SO(5) model which aims at a unifying description of antiferromagnetism and superconductivity in the high-T${}_c$ cuprates, while properly taking into account the Mott insulating gap. Our numerical results, obtained by the Quantum Monte Carlo technique of Stochastic Series Expansion, show that this model can give a realistic description of the global phase diagram of the high-$T_c$ superconductors and accounts for many of their physical properties. Moreover, we address the question of dynamic restoring of the SO(5) symmetry at the critical point.

arXiv commentFinal version. Accepted for publication in Phys. Rev. Lett

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• Directed Loop Updates for Quantum Lattice Models
• Valence-bond solids, vestigial order, and emergent SO(5) symmetry in a two-dimensional quantum magnet
• On the Melting of Bosonic Stripes
• Global Phase Diagram of the High Tc Cuprates
• Mott Insulators, No-Double-Occupancy, and Non-Abelian Superconductivity
• Temperature-dependent gap equations and their solutions in the SU(4) model of high-temperature superconductivity
• Universal SSE algorithm for Heisenberg model and Bose Hubbard model with interaction
• Scaling properties of the projected SO(5) model in three dimensions
• Phase separation in effective hard-core boson and triplet models in one and two dimensions
• Superconductivity and antiferromagnetism in a hard-core boson spin-1 model in two dimensions