LEADER 03614nam 22005775 450 001 9911061848503321 005 20260202120401.0 010 $a3-032-03111-7 024 7 $a10.1007/978-3-032-03111-2 035 $a(CKB)45197388300041 035 $a(MiAaPQ)EBC32534129 035 $a(Au-PeEL)EBL32534129 035 $a(OCoLC)1572093922 035 $a(DE-He213)978-3-032-03111-2 035 $a(EXLCZ)9945197388300041 100 $a20260202d2026 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aEmergent States in Topological and Dirac Matter /$fby Olga Arroyo Gascón 205 $a1st ed. 2026. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2026. 215 $a1 online resource (336 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 311 08$a3-032-03110-9 327 $aIntroduction -- Fundamentals of topological and moir´e Dirac matter -- Methodology review -- Moir´e physics in collapsed carbon nanotubes -- Robustness of topological crystalline insulator SnTe -- Fragile topology in threefold-symmetric systems -- Conclusions. 330 $aThis book explores diverse systems including carbon nanotubes, topological crystalline insulators, Dirac semimetals, and other more recently discovered topological phases, such as fragile and higher-order topology. Topological systems and moiré graphene-based materials form two intertwined branches of current interest in condensed matter physics. Various computational and analytical methods are extensively described and combined, providing new perspectives on these emerging fields. Regarding moiré materials, collapsed chiral carbon nanotubes are shown here to be one-dimensional analogues of twisted bilayer graphene, exhibiting magic angle physics. A wide-ranging overview of modern topological phases of matter is also presented, with an emphasis on crystalline symmetries. In this regard, the robustness of topological crystalline insulator SnTe under impurities, as well as its spin texture, is assessed. Additionally, over 50 two-dimensional materials with fragile topology are described, many of them for the first time, which can host fractionally filled corner states. In summary, this thesis constitutes an instructive presentation of novel theoretical advances in topological and Dirac matter, proposing several experimentally feasible material candidates for these exotic phases of matter. It is written in a clear manner and with a comprehensive introduction that will surely be of help for researchers and students entering these fields. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5061 606 $aQuantum statistics 606 $aTopological insulators 606 $aQuantum electrodynamics 606 $aQuantum Fluids and Solids 606 $aTopological Material 606 $aQuantum Electrodynamics, Relativistic and Many-body Calculations 615 0$aQuantum statistics. 615 0$aTopological insulators. 615 0$aQuantum electrodynamics. 615 14$aQuantum Fluids and Solids. 615 24$aTopological Material. 615 24$aQuantum Electrodynamics, Relativistic and Many-body Calculations. 676 $a530.12 700 $aArroyo Gascón$b Olga$01893116 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911061848503321 996 $aEmergent States in Topological and Dirac Matter$94540594 997 $aUNINA