02820cam 22003618i 450000100090000000300040000900500170001300800410003001000170007102000300008802000270011804000290014504200080017405000260018208200180020810000330022624501250025926300090038430000250039350400510041850504250046952010920089465000220198665000140200865000340202265000300205670000360208677601510212290600450227394200120231895201110233099900170244121882198OSt20230829192830.0210116s2021 nyu b 001 0 eng a 2020052356 a9781107105539q(hardback) z9781316226308q(ebook) aLBSOR/DLCbengerdacDLC apcc00aQC173.454b.M647 202100a530.4 MOE2231 aMoessner, Roderich,eauthor.10aTopological phases of matter :bnew particles, phenomena and ordering principles /cRoderich Moessner and Joel E. Moore. a2105 axiv, 378 p. :c26 cm aIncludes bibliographical references and index.0 aBasic 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 topological phases -- Topological quantum computation via non-Abelian statistics -- Topology out of equilibrium -- Symmetry, topology, and information. a"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. Topological phases, as a result, show a kind of robustness and universality that is similar in spirit to the famous universality observed at continuous phase transitions, but with a very different microscopic origin. This chapter introduces some of the key examples of topological phases of matter and places them in the broader context of many-body physics. Einstein famously commented that statistical mechanics was one kind of physics whose basic principles would last forever, because they were based only on the assumption that our knowledge of a complex system is incomplete. Topological phases show how a kind of macroscopic simplicity and perfection can nevertheless emerge in many-particle systems, even in the presence of disorder and fluctuations that make a complete microscopic description impossible"-- 0aCondensed matter. 0aTopology. 0aTopological defects (Physics) 0aGeometric quantum phases.1 aMoore, Joel E.,d1973-eauthor.08iOnline version:aMoessner, Roderich.tTopological phases of matterdNew York : Cambridge University Press, 2021.z9781316226308w(DLC) 2020052357 a7bcbccorignewd1eecipf20gy-gencatlg 2ddccBK 00102ddc4052708BKaSTPbSTPcNBd2023-08-29l0o530.4 MOEp11645r2023-08-29 00:00:00w2023-08-29yBK c21580d21580