1. The fabric, or the microscopic structure, of unconventional superconductivity in heavy-fermion materials continues to elude our complete understanding. In these materials, unconventional superconductivity is thought to emerge from the proximity of the system to magnetism, hence, quantum critical point (QCP). Consequently, superconductivity is mediated by strong magnetic fluctuations in the normal state. However, all the experiments up to date address the physics of quantum criticality and superconductivity by extrapolating results obtained in the normal state, with no direct probes of antiferromagnetism and quantum criticality in the superconducting state. We directly probe the nature of the normal state and quantum criticality under the superconducting dome of CeCoIn 5 by measuring the vortex core dissipation through current-voltage characteristics under hydrostatic pressure. We show that there is an emerging antiferromagnetic phase in the superconducting state and succeed in probing the strength of the coupling between the magnetic and superconducting orders. We also identify the AF phase boundary within the SC dome and give the quantum critical field line H QCP (red curve in figure) when T = 0. In essence, these results show that the synergy of magnetism and superconductivity gives rise to a compo- Strong magnetic fluctuations in superconducting state of CeCoIn 5 Carmen C. Almasan, Kent State University, DMR 1006606 site superconducting state in which conduction and magnetic degrees of freedom are strongly coupled to each other. Our work also shows the potential of the flux-flow measurement technique in probing the subtle features of unconventional superconductivi- ty, in particular how it competes with other phases, in other strongly correlated systems such as iron- pnictides and copper oxides..

2. Education An essential activity performed has been the education of one starting graduate student and one postdoc. They did not only pursue cutting edge science, but they also became knowledgeable in a highly varied array of skills, technologies, and forefront topics in condensed matter physics by being involved in all phases of their project. These phases may include equipment and electronics design and construction, experiment “debugging”, data acquisition and analysis, and comprehension of and comparison with the relevant theoretical results.Outreach As part of the outreach activities of the PI, AP and Honors Physics students from nearby high schools visited her laboratory and learned about physics in general and superconductivity and magnetism in particular, through demonstrations and short lectures given by the PI and her postdoc. In this way, the high school students were exposed to a research environment and were given a flavor of the science done in the lab and the technology involved in doing it. In addition, the PI continued to be involved in the Young Women’s Summer Institute, which is a competitive program across Ohio for middle school girls, held on the Kent State University Campus. During this program, middle school girls are exposed to science experiments and interact with female scientists at different stages in their career, undergraduate and graduate students, and faculty. Postdoc Tao Hu describes to high school students the demos he is about to show them. Strong magnetic fluctuations in superconducting state of CeCoIn 5 Carmen C. Almasan, Kent State University, DMR 1006606