Geometric quantum phases

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Basic concepts of topology and condensed matter -- Integer topological phases -- Geometry and topology of wavefunctions in crystals -- Hydrogen atoms for fractionalisation -- Gauge and topological field theories -- Topology in gapless matter -- Disorder and defects in topologica…

"Topological concepts are essential to understand many of the most important recent discoveries in the basic physics of solids. Topology can be loosely defined as the branch of mathematics studying the properties of an object that are invariant under smooth distortions. Topologi…

"Topological concepts are essential to understand many of the most important recent discoveries in the basic physics of solids. Topology can be loosely defined as the branch of mathematics studying the properties of an object that are invariant under smooth distortions. Topologi…

During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a paper by Michael Berry, where it was found that the adiabatic evolution of ener…