منابع مشابه
Quantum Coherence of Edge States in the Quantum Hall Eect { Topological Invariants and Edge State Mixing {
Edge states in the integral quantum Hall e ect 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 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 clari ed. In a macroscopic system, mi...
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We carry out numerical diagonalization for much larger systems than before by restricting the fractional quantum Hall (FQH) edge excitations to a basis that is exact for a short-range interaction and very accurate for the Coulomb interaction. This enables us to perform substantial tests of the predicted universality of the edge physics. Our results suggest the possibility that the behavior of t...
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The topological indices, defined as the sum of contributions of all pairs of vertices (among which are the Wiener, Harary, hyper–Wiener indices, degree distance, and many others), are expressed in terms of contributions of edges and pairs of edges.
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We predict by first-principles calculations that thin films of a Cr-doped (Bi,Sb)2Te3 magnetic topological insulator have gapless nonchiral edge states coexisting with the chiral edge state. Such gapless nonchiral states are not immune to backscattering, which would explain dissipative transport in the quantum anomalous Hall (QAH) state observed in this system experimentally. Here, we study the...
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The quantum Hall state at the filling fraction =5 /2 is the leading candidate to be a physical system supporting excitations with non-Abelian braid statistics. While a direct experimental evidence for the latter is still absent, recent experiments by Radu et al. I. P. Radu, J. B. Miller, C. M. Marcus, M. A. Kastner, L. N. Pfeiffer, and K. W. West, Science 320, 899 2008 yielded results favoring ...
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ژورنال
عنوان ژورنال: Laser & Photonics Reviews
سال: 2020
ISSN: 1863-8880,1863-8899
DOI: 10.1002/lpor.202000001