LEADER 03552nam 22005655 450 001 9910337883603321 005 20200704143142.0 010 $a3-030-21511-3 024 7 $a10.1007/978-3-030-21511-8 035 $a(CKB)4100000008424400 035 $a(DE-He213)978-3-030-21511-8 035 $a(MiAaPQ)EBC5789403 035 $a(PPN)269148035 035 $a(EXLCZ)994100000008424400 100 $a20190613d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aExcursions in Ill-Condensed Quantum Matter $eFrom Amorphous Topological Insulators to Fractional Spins /$fby Adhip Agarwala 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XXIII, 163 p. 59 illus., 49 illus. in color.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 311 $a3-030-21510-5 327 $aIntroduction -- Tenfold Way -- Topological Insulators in Amorphous Systems -- Seeking Topological Phases in Fractals -- Seeking Topological Phases in Fractals -- Killing the Hofstadter Butter?y -- Fractional Spins and Kondo E?ect -- Structure of Many-Body Hamiltonians in Di?erent Symmetry Classes -- Epilogue. 330 $aImpurities, disorder or amorphous systems ? ill-condensed matter ? are mostly considered inconveniences in the study of materials, which is otherwise heavily based on idealized perfect crystals. The Kondo effect and the scaling theory of localization are among the fundamental and early discoveries which revealed the novelty hidden in impure or disordered systems. Recent advances in condensed matter physics have emphasized the role of topology, spin-orbit coupling, and certain discrete symmetries such as time reversal in many physical phenomena. These have irreversibly transformed the essential ideas and purview of condensed matter physics, both in theoretical and experimental directions. However, many of these recent developments and their implications are limited to, or by, ideas that pertain to clean systems. This thesis deals with various aspects of these new developments, but in the case of unclean systems. The author introduces new ideas such as amorphous topological insulators, fractalized metals and fractionalized spins. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aSolid state physics 606 $aMathematical physics 606 $aMagnetism 606 $aMagnetic materials 606 $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aMagnetism, Magnetic Materials$3https://scigraph.springernature.com/ontologies/product-market-codes/P25129 615 0$aSolid state physics. 615 0$aMathematical physics. 615 0$aMagnetism. 615 0$aMagnetic materials. 615 14$aSolid State Physics. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aMagnetism, Magnetic Materials. 676 $a530.41 676 $a530.41 700 $aAgarwala$b Adhip$4aut$4http://id.loc.gov/vocabulary/relators/aut$0837089 906 $aBOOK 912 $a9910337883603321 996 $aExcursions in Ill-Condensed Quantum Matter$92532074 997 $aUNINA