Topological phases of matter
new particles, phenomena and ordering principles
Moessner, Roderich
creator
author.
Moore, Joel E.
1973-
author.
text
bibliography
nyu
2021
monographic
eng
xiv, 378 p. : 26 cm
"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"--
Basic 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.
Roderich Moessner and Joel E. Moore.
Includes bibliographical references and index.
Condensed matter
Topology
Topological defects (Physics)
Geometric quantum phases
QC173.454 .M647 2021
530.4 MOE
Topological phases of matter
Moessner, Roderich.
New York : Cambridge University Press, 2021.
(DLC) 2020052357
9781107105539
2020052356
LBSOR/DLC
210116
20230829192830.0
21882198
eng