Quantum Coherence of Edge States in the Quantum Hall Effect -- Topological Invariants and Edge State Mixing --
| dc.creator | Hatsugai, Yasuhiro | |
| dc.date | 1996-04-04 | |
| dc.date.accessioned | 2026-07-07T03:08:28Z | |
| dc.date.available | 2026-07-07T03:08:28Z | |
| dc.description | Edge states in the integral quantum Hall effect on a lattice are reviewed from a topological point of view. For a system with edges which is realized inevitably in an experimental situation, the Hall conductance $σ_{xy}$ is given by a winding number of the edge state on a complex energy surface. A relation between two topological invariants (bulk and edge) is also clarified. In a macroscopic system, mixture of the edge states are exponentially small and negligible. Quantum Coherence between the two edge states gives the quantization of $σ_{xy}$. However, when the system is mesoscopic, the mixture between the edges states plays a physical role. We focus on this point and show numerical results. | |
| dc.description | All in one postscript file ( with figures ) | |
| dc.identifier | https://arxiv.org/abs/cond-mat/9604025 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/9604025 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/27513 | |
| dc.subject | Condensed Matter | |
| dc.title | Quantum Coherence of Edge States in the Quantum Hall Effect -- Topological Invariants and Edge State Mixing -- | |
| dc.type | text |