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Chapter 280 Quantum Critical Matter and Phase Transitions in Rare Earths and Actinides L. Rademaker1,* and J.A. Mydosh1,† *Kavli Institute for Theoretical Physics, University of California Santa Barbara, CA, United States †Kamerlingh Onnes Laboratory and Institute-Lorentz, Leiden University, Leiden, The Netherlands 1Corresponding authors: e-mail: louk.rademaker@gmail.com; mydosh@physics.leidenuniv.nl Chapter Outline 1 Introduction 293 2 Historical Background 294 2.1 Classical Continuous Phase Transitions 294 2.2 Quantum Critical Theory 297 2.3 HM Theories of Itinerant Magnets 300 2.4 Experiments: Li(Ho,Y)F4, Ce(Cu,Au)6, and YbRh2Si2 304 3 Present Theories 316 3.1 Critique of HM and the Kondo Effect 316 3.2 Kondo Breakdown 317 1 INTRODUCTION Many compounds based on rare earth and actinide elements, such as Ce(Cu,Au)6 and YbRh2Si2, display unusual electronic and magnetic properties. “Unusual” is used in a strong sense such that standard Fermi liquid (FL) theory is not applicable, and a proper theoretical description is still lacking. However, driven by a theoretical effort it has been suggested that many properties can be understood within the framework of a “quantum phase transition” (QPT): a second-order phase transition from a magnetically Handbook on the Physics and Chemistry of Rare Earths, Vol. 49. http://dx.doi.org/10.1016/bs.hpcre.2016.03.002 © 2016 Elsevier B.V. All rights reserved. 293 4 5 3.3 Two-Dimensional Physics 317 3.4 Critical Quasiparticles 318 3.5 Conclusion 318 Present Materials and Experiments 318 4.1 The Cerium Series Ce(Co, Rh, Ir)In5 319 4.2 Hidden Order in URu2Si2 323 Quantum Criticality Beyond Rare Earths and Actinides 327 Summary and Conclusions 329 6 Acknowledgments 330 References 331PDF Image | HANDBOOK ON THE PHYSICS AND CHEMISTRY OF RARE EARTHS
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