Quantum critical spin liquids and superconductivity in the cuprates

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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Version II: We comment on negative norm states and correct an error in the density of states

Scientific paper

We describe a new kind of quantum critical point in the context of quantum anti-ferromagnetism in 2d that can be understood as a quantum critical spin liquid. Based on the comparison of exponents with previous numerical work, we argue it describes a transition from an anti-ferromagnetic N\'eel ordered state to a VBS-like state. We argue further that the symplectic fermions capture the proper degrees of freedom in the zero temperature phase that is the parent to the superconducting phase in the cuprates. We then show that our model reproduces some features found recently in experiments and also in the Hubbard model.

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