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Journal of Physics and Chemistry of Solids

Dynamical properties and the phase diagram of the projected SO(5)-symmetric model of high-Tc superconductors

Ansgar Dorneich, Werner R. Hanke, Enrico Arrigoni, Matthias Troyer, Shoucheng Zhang

Published Jun 1, 2002• 1 citation
Publisher
DOI
10.1016/s0022-3697(02)00153-1

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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 asymptotic restoring of the SO(5) symmetry at the critical point.
We construct a class of projected SO(5) models where the Gutzwiller constraint of no-double-occupancy is implemented exactly. We introduce the concept of projected SO(5) symmetry where all static correlation functions are exactly SO(5) symmetric and discuss the signature of the projected SO(5) symmetry in dynamical correlation functions. We show that this class of projected SO(5) models can give a realistic description of the global phase diagram of the high-Tc{T}_{c}Tc​ superconductors and account for many of their physical properties.
We propose a bosonic effective quantum Hamiltonian based on the projected SO(5) model with extended interactions, which can be derived from the microscopic models of the cuprates. The global phase diagram of this model is obtained using mean‐field theory and the quantum Monte Carlo simulation. We show that this single quantum model can account for most salient features observed in the high‐Tc cuprates, with different families of the cuprates attributed to different traces in the global phase diagram. A particular prediction of this theory is the checkerboard state of the d‐wave hole pairs formed at certain magic filling fractions. We shall describe various properties of this state and present evidence that this novel state has been detected in recent STM and transport experiments.