Frustration in Magnetic Oxides Supervisor Martin Lees, Co-supervisor Oleg Petrenko Superconductivity and Magnetism Group Physics Department, University of Warwick Department of Physics (www2.warwick.ac.uk/fac/sci/physics) University of Warwick (www2.warwick.ac.uk) Superconductivity and Magnetism Groups (go.warwick.ac.uk/supermag) In simple magnetic materials the magnetic behaviour is usually governed by the strength and sign of the interactions between the magnetic moments in the system. In frustrated magnets the competing interactions between the moments cannot all be satisfied simultaneously. Studies of frustrated magnetic oxides have resulted in the discovery of some exciting new physics including spin ice and monopoles (see Fig 1.). Many of these breakthroughs have opened new avenues of research, while others have raised important questions that remain unanswered. It is the physics of these systems that will be the focus of this project. For some of our recent work please see Refs. 1 to 3. Fig. 1 Phase diagram as a function of temperature T and the relative strength of the planar and Ising exchange for some pyrochlore titanates. Ho2Ti2O7 and Dy2Ti2O7 are spin ice while Yb2Ti2O7 undergoes a first-order transition from a Coulomb liquid to a Higgs phase of magnetic monopoles [1]. In this project, you will use image furnaces to grow high quality single crystals of oxide materials. The structural properties of these frustrated materials will be studied using a suite of state-of-the-art xray spectrometers and electron microscopes. You will examine the magnetic properties of these crystals in the laboratory at low temperatures and in high magnetic fields. You will also use a range of neutron scattering and muon spectroscopy techniques at national and international central facilities to investigate the physics of these materials. This experimental project will offer an excellent training in several important aspects of modern condensed matter physics. [1] L.-J. Chang, S. Onoda, Y. Su, Y.-J. Kao, K.-D. Tsuei, Y. Yasui, K. Kakurai, M. R. Lees, Nature Communications 3, 992 (2012). [2] L.-J. Chang, M. R. Lees, I. Watanabe, A. D. Hillier, Y. Yasui, S. Onoda, Physical Review B 89, 184416 (2014). [3] E. Lhotel, S. R. Giblin, M. R. Lees, G. Balakrishnan, L. J. Chang, Y. Yasui, Physical Review B 89, 224419 (2014).