Topology Changes and Quantum Phase Transition in Spin-Chain System
| dc.creator | Chang, Zhe | |
| dc.creator | Wang, Ping | |
| dc.date | 2008-01-09 | |
| dc.date.accessioned | 2026-07-07T08:53:29Z | |
| dc.date.available | 2026-07-07T08:53:29Z | |
| dc.description | The standard Landau-Ginzburg scenario of phase transition is broken down for quantum phase transition. It is difficult to find an order parameter to indicate different phases for quantum fluctuations. Here, we suggest a topological description of the quantum phase transition for the XY model. The ground states are identified as a specialized U(1) principal bundle on the base manifold $S^2$. And then different first Chern numbers of U(1) principal bundle on the base manifold $S^2$ are associated to each phase of quantum fluctuations. The particle-hole picture is used to parameterized the ground states of the XY system. We show that a singularity of the Chern number of the ground states occurs simultaneously with a quantum phase transition. The Chern number is a suitable topological order of the quantum phase transition. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0801.1400 | |
| dc.identifier | http://arxiv.org/abs/0801.1400 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145640 | |
| dc.subject | Quantum Physics | |
| dc.title | Topology Changes and Quantum Phase Transition in Spin-Chain System | |
| dc.type | text |