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- W3124402008 abstract "Abstract magnified image Owing to the enormous interest the rapidly growing field of topological states of matter (TSM) has attracted in recent years, the main focus of this review is on the theoretical foundations of TSM. Starting from the adiabatic theorem of quantum mechanics which we present from a geometrical perspective, the concept of TSM is introduced to distinguish gapped many body ground states that have representatives within the class of non‐interacting systems and mean field superconductors, respectively, regarding their global geometrical features. These classifying features are topological invariants defined in terms of the adiabatic curvature of these bulk insulating systems. We review the general classification of TSM in all symmetry classes in the framework of K‐Theory. Furthermore, we outline how interactions and disorder can be included into the theoretical framework of TSM by reformulating the relevant topological invariants in terms of the single particle Green's function and by introducing twisted boundary conditions, respectively. We finally integrate the field of TSM into a broader context by distinguishing TSM from the concept of topological order which has been introduced to study fractional quantum Hall systems. (© 2013 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
- W3124402008 created "2021-02-01" @default.
- W3124402008 creator A5007187040 @default.
- W3124402008 creator A5068011712 @default.
- W3124402008 date "2013-01-08" @default.
- W3124402008 modified "2023-10-16" @default.
- W3124402008 title "From the adiabatic theorem of quantum mechanics to topological states of matter" @default.
- W3124402008 cites W1501955150 @default.
- W3124402008 cites W1514707913 @default.
- W3124402008 cites W1528946541 @default.
- W3124402008 cites W1601700513 @default.
- W3124402008 cites W1824665345 @default.
- W3124402008 cites W1963826472 @default.
- W3124402008 cites W1963934717 @default.
- W3124402008 cites W1965292581 @default.
- W3124402008 cites W1967475705 @default.
- W3124402008 cites W1972251029 @default.
- W3124402008 cites W1974366566 @default.
- W3124402008 cites W1978868003 @default.
- W3124402008 cites W1983033166 @default.
- W3124402008 cites W1986367454 @default.
- W3124402008 cites W1988195577 @default.
- W3124402008 cites W1990963622 @default.
- W3124402008 cites W1991011468 @default.
- W3124402008 cites W1991260972 @default.
- W3124402008 cites W1993289500 @default.
- W3124402008 cites W1996822656 @default.
- W3124402008 cites W1998857670 @default.
- W3124402008 cites W2003397144 @default.
- W3124402008 cites W2008267560 @default.
- W3124402008 cites W2008791564 @default.
- W3124402008 cites W2009073265 @default.
- W3124402008 cites W2009911686 @default.
- W3124402008 cites W2016000654 @default.
- W3124402008 cites W2018032563 @default.
- W3124402008 cites W2020332193 @default.
- W3124402008 cites W2021857174 @default.
- W3124402008 cites W2023768424 @default.
- W3124402008 cites W2025389872 @default.
- W3124402008 cites W2027632347 @default.
- W3124402008 cites W2029473109 @default.
- W3124402008 cites W2030164271 @default.
- W3124402008 cites W2031028572 @default.
- W3124402008 cites W2031828766 @default.
- W3124402008 cites W2035188708 @default.
- W3124402008 cites W2035434100 @default.
- W3124402008 cites W2037807652 @default.
- W3124402008 cites W2040935135 @default.
- W3124402008 cites W2043175787 @default.
- W3124402008 cites W2047786902 @default.
- W3124402008 cites W2049736198 @default.
- W3124402008 cites W2053170335 @default.
- W3124402008 cites W2054660546 @default.
- W3124402008 cites W2060980884 @default.
- W3124402008 cites W2062535261 @default.
- W3124402008 cites W2063397682 @default.
- W3124402008 cites W2064989124 @default.
- W3124402008 cites W2075346611 @default.
- W3124402008 cites W2079324547 @default.
- W3124402008 cites W2081112065 @default.
- W3124402008 cites W2083264179 @default.
- W3124402008 cites W2086065463 @default.
- W3124402008 cites W2088198211 @default.
- W3124402008 cites W2091575493 @default.
- W3124402008 cites W2093699506 @default.
- W3124402008 cites W2097780038 @default.
- W3124402008 cites W2101893110 @default.
- W3124402008 cites W2102074887 @default.
- W3124402008 cites W2111640030 @default.
- W3124402008 cites W2117734893 @default.
- W3124402008 cites W2136592254 @default.
- W3124402008 cites W2151014458 @default.
- W3124402008 cites W2159843440 @default.
- W3124402008 cites W2166232898 @default.
- W3124402008 cites W2166606564 @default.
- W3124402008 cites W2242496204 @default.
- W3124402008 cites W2502880094 @default.
- W3124402008 cites W3098196943 @default.
- W3124402008 cites W3098732570 @default.
- W3124402008 cites W3100400587 @default.
- W3124402008 cites W3101648758 @default.
- W3124402008 cites W3101714103 @default.
- W3124402008 cites W3103888047 @default.
- W3124402008 cites W3121974050 @default.
- W3124402008 cites W3125378746 @default.
- W3124402008 cites W4242408290 @default.
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- W3124402008 cites W4253292144 @default.
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- W3124402008 doi "https://doi.org/10.1002/pssr.201206416" @default.
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