Quantum phase transitions and non-Fermi liquid regime in the heavy fermion Ce1-xYbxCoIn5 Carmen C. Almasan1, Yogesh P. Singh1, Tao Hu1, Ivy K. Lum2, Benjamin D. White2, Maxim Dzero1, and M. Brian Maple2 1 Kent State University, Kent, USA University of California, San Diego, USA 2 One of the greatest challenges to Landau’s Fermi liquid theory – the standard theory of metals - is presented by complex materials with strong electronic correlations. The non-Fermi liquid (NFL) transport and thermodynamic properties of these materials are often explained by the presence of strong quantum critical fluctuations associated with a quantum phase transition that happens at a quantum critical point (QCP). A QCP can be revealed by applying pressure, magnetic field, or changing the chemical composition. The heavy-fermion CeCoIn5 is a prototypical system for which its pronounced NFL behavior in the normal state and unconventional superconductivity are thought to arise from the proximity of this system to a QCP. Previous experiments address the physics of this QCP by extrapolating results obtained in the normal state, i.e., there were no direct probes of antiferromagnetism and quantum criticality in the superconducting state. This motivated us to study the transport in the mixed state, thus revealing the physics of antiferromagnetism and quantum criticality of the underlying normal state [1]. We will present the results obtained in these studies by measuring the vortex core dissipation under applied hydrostatic pressure (P) and magnetic field (H). Using our experimental results, we obtained an explicit equation for the antiferromagnetic boundary inside the superconducting dome and constructed an H-T-P phase diagram, hence, a quantum critical line inside the superconducting phase. Furthermore, we will also show that the full suppression of the QCP in CeCoIn5 by doping with Yb has surprisingly little impact on both superconductivity and the NFL behavior [2-4]. The robustness of superconductivity against substitutioninduced disorder points towards an alternative microscopic origin of superconductivity in this system, while the robustness of the NFL behavior implies that this behavior could be a new state of matter in its own right rather than a consequence of the underlying quantum phase transition. [1] T. Hu et al., Phys. Rev. Lett. 108, 056401 (2012). [2] T. Hu et al., PNAS 110, 7160 (2013). [3] Y. Singh et al., Phys. Rev. B 89, 115106 (2014). [4] Y. Singh et al, to be published.