Topological aspects of band theory - Soluyanov, Alexey
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In this book questions that arise in the context of band theory in the presence of topologically non-trivial bands are addressed. Part of the book is aimed at the actual determination of the presence of non-trivial band topology. We develop a method to distinguish an ordinary insulator from a topological one in the presence of time-reversal symmetry. The method is implemented within the density functional theory framework and is illustrated with applications to real materials in ab initio calculations. Another question considered in this book is that of a real-space representation of…mehr

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Produktbeschreibung
In this book questions that arise in the context of band theory in the presence of topologically non-trivial bands are addressed. Part of the book is aimed at the actual determination of the presence of non-trivial band topology. We develop a method to distinguish an ordinary insulator from a topological one in the presence of time-reversal symmetry. The method is implemented within the density functional theory framework and is illustrated with applications to real materials in ab initio calculations. Another question considered in this book is that of a real-space representation of topological insulators, and in particular, the construction of Wannier functions - localized real-space wavefunctions - in the presence of non-trivial band topology.
Autorenporträt
Alexey Soluyanov was born in 1983 in St. Petersburg, Russia. He obtained his B.Sc. and M.Sc. diplomas from St. Petersburg State University. In 2012 He obtained a Ph.D. degree from Rutgers University (USA) under the supervision of David Vanderbilt. Currently he is a postdoctoral researcher at the ETH Zurich.