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We propose a new magnetic phase diagram of La2-xSrxCuO4 around a quantumcritical point x = 1/9 based on field-cooled magnetization measurements andcritical fittings. A new phase boundary Tm2(H) is discovered which buriesdeeply below the first order vortex melting line in the vortex solid phase. Thecoupling between superconductivity and antiferromagnetism is found to beattractive below Tm2(H) while repulsive above. The attractive coupling betweensuperconducting order and static antiferromagnetic order provides compellingexperimental evidence that the antiferromagnetism microscopically coexists andcollaborates with the high temperature superconductivity in cuprates.

Unconventional magnetic phase diagram of cuprate superconductor La2-xSrxCuO4 at quantum critical point x = 1/9