LEADER 04404nam 22006615 450 001 9910373934503321 005 20200705233006.0 010 $a3-030-31960-1 024 7 $a10.1007/978-3-030-31960-1 035 $a(CKB)4100000009844740 035 $a(DE-He213)978-3-030-31960-1 035 $a(MiAaPQ)EBC5982896 035 $a(PPN)269146806 035 $a(EXLCZ)994100000009844740 100 $a20191120d2019 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBoundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter /$fby Abhijeet Alase 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XVII, 200 p. 23 illus., 19 illus. in color.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 311 $a3-030-31959-8 327 $aChapter1: Introduction -- Chapter2: Generalization of Bloch's theorem to systems with boundary -- Chapter3: Investigation of topological boundary states via generalized Bloch theorem -- Chapter4: Matrix factorization approach to bulk-boundary correspondence -- Chapter5: Mathematical foundations to the generalized Bloch theorem -- Chapter6: Summary and Outlook. 330 $aThis thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch?s Theorem which is applicable whenever translational symmetry is broken solely due to arbitrary boundary conditions. The thesis begins with a historical overview of topological condensed matter physics, placing the work in context, before introducing the generalized form of Bloch's Theorem. A cornerstone of electronic band structure and transport theory in crystalline matter, Bloch's Theorem is generalized via a reformulation of the diagonalization problem in terms of corner-modified block-Toeplitz matrices and, physically, by allowing the crystal momentum to take complex values. This formulation provides exact expressions for all the energy eigenvalues and eigenstates of the single-particle Hamiltonian. By precisely capturing the interplay between bulk and boundary properties, this affords an exact analysis of several prototypical models relevant to symmetry-protected topological phases of matter, including a characterization of zero-energy localized boundary excitations in both topological insulators and superconductors. Notably, in combination with suitable matrix factorization techniques, the generalized Bloch Hamiltonian is also shown to provide a natural starting point for a unified derivation of bulk-boundary correspondence for all symmetry classes in one dimension. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aSolid state physics 606 $aPhase transformations (Statistical physics) 606 $aMathematical physics 606 $aPhysics 606 $aSemiconductors 606 $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013 606 $aPhase Transitions and Multiphase Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P25099 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aSemiconductors$3https://scigraph.springernature.com/ontologies/product-market-codes/P25150 615 0$aSolid state physics. 615 0$aPhase transformations (Statistical physics) 615 0$aMathematical physics. 615 0$aPhysics. 615 0$aSemiconductors. 615 14$aSolid State Physics. 615 24$aPhase Transitions and Multiphase Systems. 615 24$aMathematical Physics. 615 24$aMathematical Methods in Physics. 615 24$aSemiconductors. 676 $a530.41 700 $aAlase$b Abhijeet$4aut$4http://id.loc.gov/vocabulary/relators/aut$01064356 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910373934503321 996 $aBoundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter$92537596 997 $aUNINA LEADER 02414nam 2200637 a 450 001 9910965354803321 005 20251117082429.0 010 $a0-8132-1110-7 035 $a(CKB)2550000000016801 035 $a(EBL)3134823 035 $a(SSID)ssj0000734503 035 $a(PQKBManifestationID)11500107 035 $a(PQKBTitleCode)TC0000734503 035 $a(PQKBWorkID)10723629 035 $a(PQKB)10634981 035 $a(MiAaPQ)EBC3134823 035 $a(OCoLC)606354016 035 $a(MdBmJHUP)muse24299 035 $a(Au-PeEL)EBL3134823 035 $a(CaPaEBR)ebr10382775 035 $a(OCoLC)922996511 035 $a(EXLCZ)992550000000016801 100 $a20100607e20081950 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aApologetical works and Minucius Felix Octavius /$ftranslated by Rudolph Arbesmann, Sister Emily Joseph Daly, Edwin A. Quain 205 $a1st ed. 210 $aWashington, D.C. $cCatholic University of America Press$d2008, c1950 215 $a1 online resource (452 p.) 225 1 $aThe fathers of the church : a new translation ;$vv. 10 300 $aFirst paperback reprint. 311 08$a0-8132-1555-2 320 $aIncludes bibliographical references and index. 327 $a""Contents""; ""General Introduction""; ""Tertullian""; ""Apology""; ""Introduction""; ""Text""; ""The Testimony of the Soul""; ""Introduction""; ""Text""; ""To Scapula""; ""Introduction""; ""Text""; ""On the Soul""; ""Introduction""; ""Text""; ""Minucius Felix""; ""Octavius""; ""Introduction""; ""Text""; ""Index"" 330 $aNo description available. 410 0$aFathers of the church ;$vv. 10. 606 $aTheology$xHistory$yEarly church, ca. 30-600 606 $aApologetics$xHistory$yEarly church, ca. 30-600 615 0$aTheology$xHistory 615 0$aApologetics$xHistory 676 $a281.3 700 $aTertullian$fapproximately 160-approximately 230.$0859945 701 2$aMinucius Felix$b Marcus$0387467 701 $aArbesmann$b Rudolphus$f1895-1982.$0182402 701 $aDaly$b Emily Joseph$01857205 701 $aQuain$b Edwin A.$f1906-1975.$01857206 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910965354803321 996 $aApologetical works and Minucius Felix Octavius$94477096 997 $aUNINA