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Berry phases, quantum phase transitions and Chern numbers
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...
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Published in: | Physica. B, Condensed matter Condensed matter, 2008-04, Vol.403 (5), p.1301-1302 |
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container_title | Physica. B, Condensed matter |
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creator | Contreras, H.A. Reyes-Lega, A.F. |
description | 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 the usual one (obtained by integrating the Berry connection around a closed loop). We compute these invariants (Chern numbers) and discuss their relation to QPT. In particular we show that Chern numbers can be used to label regions corresponding to different phases. |
doi_str_mv | 10.1016/j.physb.2007.10.131 |
format | article |
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subjects | Berry phases Condensed matter: electronic structure, electrical, magnetic, and optical properties Exact sciences and technology General theory and models of magnetic ordering Magnetic properties and materials Physics Quantum phase transitions Spin chain models Topological invariants |
title | Berry phases, quantum phase transitions and Chern numbers |
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