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Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems
2002
Physical Review Letters
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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
doi:10.1103/physrevlett.89.077002
pmid:12190549
fatcat:clirot4cffhmdc4exzq32g4sbm