Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/136070
Title: GAUGE FIELDS AND GEOMETRIC PHASES IN PERIODIC SYSTEMS
Authors: WEI NIE
Keywords: gauge field, geometric phase, edge state, quantum phase transition, winding number, quantum criticality
Issue Date: 10-Feb-2017
Citation: WEI NIE (2017-02-10). GAUGE FIELDS AND GEOMETRIC PHASES IN PERIODIC SYSTEMS. ScholarBank@NUS Repository.
Abstract: This thesis focuses on gauge fields and geometric phases in periodic systems. The simulation of Aharonov-Bohm effect is discussed in real space with optical lattice. The artificial gauge fields provide convenience in simulating the dynamics of charged particles in magnetic field with neutral atoms. In condensed matter physics, the topological invariants can characterize topological properties of the systems, e.g., Chern number in quantum Hall effect. The geometric phase in one-dimensional optical lattices is employed to study topological phase transitions. In addition, the geometric phase in spin-$1/2$ chains is quite interesting not only in the gapped phase, but also in the regime close to phase transition. We use geometric phases to characterize the critical and noncritical properties in generalized spin-$1/2$ chain with multispin interactions. Moreover, the topological phases are explored via edge states.
URI: http://scholarbank.nus.edu.sg/handle/10635/136070
Appears in Collections:Ph.D Theses (Open)

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