Hidden Magnetism and Quantum Criticality in the Heavy Fermion   Superconductor CeRhIn5
  With understood exceptions, conventional superconductivity does not coexist with long-range magnetic order[1]. In contrast, unconventional superconductivity develops near a boundary separating magnetically ordered and magnetically disordered phases[2,3]. A maximum in the superconducting transition temperature Tc develops where this boundary extrapolates to T=0 K, suggesting that fluctuations associated with this magnetic quantum-critical point are essential for unconventional superconductivity[4,5]. Invariably though, unconventional superconductivity hides the magnetic boundary when T < Tc, preventing proof of a magnetic quantum-critical point[5]. Here we report specific heat measurements of the pressure-tuned unconventional superconductor CeRhIn5 in which we find a line of quantum-phase transitions induced inside the superconducting state by an applied magnetic field. This quantum-critical line separates a phase of coexisting antiferromagnetism and superconductivity from a purely unconventional superconducting phase and terminates at a quantum tetracritical point where the magnetic field completely suppresses superconductivity. The T->0 K magnetic field-pressure phase diagram of CeRhIn5 is well described with a theoretical model[6,7] developed to explain field-induced magnetism in the high-Tc cuprates but in which a clear delineation of quantum-phase boundaries has not been possible. These experiments establish a common relationship among hidden magnetism, quantum criticality and unconventional superconductivity in cuprate and heavy-electron systems, such as CeRhIn5. 
Tuson Park (LANL), F. Ronning (LANL), H. Q. Yuan (UIUC), M. B. Salamon   (UIUC), R. Movshovich (LANL), J. L. Sarrao (LANL), ...