Electronic Liquid Crystal Phases in Strongly Correlated Systems

  • Eduardo FradkinEmail author
Part of the Lecture Notes in Physics book series (LNP, volume 843)


I discuss the electronic liquid crystal (ELC) phases in correlated electronic systems, what these phases are and in what context they arise. I will go over the strongest experimental evidence for these phases in a variety of systems: the two-dimensional electron gas (2DEG) in magnetic fields, the bilayer material \(\hbox{Sr}_{3}\hbox{Ru}_{2}\hbox{O}_{7}\) (also in magnetic fields), and a set of phenomena in the cuprate superconductors (and more recently in the pnictide materials) that can be most simply understood in terms of ELC phases. Finally we will go over the theory of these phases, focusing on effective field theory descriptions and some of the known mechanisms that may give rise to these phases in specific models.


Quantum Phase Transition Charge Density Wave Nematic Phase Stripe Phase Nematic Order 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



I am deeply indebted to Steve Kivelson with whom we developed many of the ideas that are presented here. Many of these results were obtained also in collaboration with my former students Michael Lawler and Kai Sun, as well as to John Tranquada, Vadim Oganesyan, Erez Berg, Daniel Barci, Congjun Wu, Benjamin Fregoso, Siddhartha Lal and Akbar Jaefari, and many other collaborators. I would like to thank Daniel Cabra, Andreas Honecker and Pierre Pujol for inviting me to this very stimulating Les Houches Summer School on “Modern theories of correlated electron systems” (Les Houches, May 2009). This work was supported in part by the National Science Foundation, under grant DMR 0758462 at the University of Illinois, and by the Office of Science, U.S. Department of Energy, under Contracts DE-FG02-91ER45439 and DE-FG02-07ER46453 through the Frederick Seitz Materials Research Laboratory of the University of Illinois.


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Authors and Affiliations

  1. 1.Department of PhysicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA

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