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Quantum numbers, Chern classes, and a bodhisattva

✍ Scribed by Yang, Chen Ning


Book ID
118013087
Publisher
American Institute of Physics
Year
2012
Tongue
English
Weight
426 KB
Volume
65
Category
Article
ISSN
0031-9228

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Berry phases, quantum phase transitions
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We study the relation between Chern numbers and quantum phase transitions (QPT) in the XY spin-chain model. By coupling the spin chain to a single spin, it is possible to study topological invariants associated to the coupling Hamiltonian. These invariants contain global information, in addition to