Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2011-05-31
Physica E 44, 845 (2012)
Physics
Condensed Matter
Strongly Correlated Electrons
Invited article (Review); 19 pages, 15 figures, Stated more precisely under which conditions we expect a TI-QSL correspondence
Scientific paper
10.1016/j.physe.2011.11.011
In this paper we review some connections recently discovered between topological insulators and certain classes of quantum spin liquids, focusing on two and three spatial dimensions. In two dimensions we show the integer quantum Hall effect plays a key role in relating topological insulators and chiral spin liquids described by fermionic excitations, and we describe a procedure for "generating" a certain class of topological states. In three dimensions we discuss interesting relationships between certain quantum spin liquids and interacting "exotic" variants of topological insulators. We focus attention on better understanding interactions in topological insulators, and the phases nearby in parameter space that might result from moderate to strong interactions in the presence of strong spin-orbit coupling. We stress that oxides with heavy transition metal ions, which often host a competition between electron interactions and spin-orbit coupling, are an excellent place to search for unusual topological phenomena and other unconventional phases.
Chua Victor
Fiete Gregory A.
Kargarian Mehdi
Lundgren Rex
Ruegg Andreas
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