Phys. Rev. Lett. 89, 077002 (2002) [4 pages]Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric SystemsReceived 11 December 2001; published 26 July 2002 A criterion to determine the existence of zero-energy edge states is discussed for a class of particle-hole symmetric Hamiltonians. A “loop” in a parameter space is assigned for each one-dimensional bulk Hamiltonian, and its topological properties, combined with the chiral symmetry, play an essential role. It provides a unified framework to discuss zero-energy edge modes for several systems such as fully gapped superconductors, two-dimensional d-wave superconductors, and graphite ribbons. A variance of the Peierls instability caused by the presence of edges is also discussed. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.077002
DOI:
10.1103/PhysRevLett.89.077002
PACS:
74.20.–z, 72.80.Rj, 73.20.At
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