Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems

Details Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems Topological Origin of Zero-Energy Edge States in Particle-Hole Symmetric Systems

2001-12-11

arxiv.org/abs/cond-mat/0112197v3

Phys. Rev. Lett. 89, 077002 (2002)

Physics

Condensed Matter

Superconductivity

Completely rewritten. Discussions on coexistence of is- or id_{xy}-wave order parameter near edges in d_{x^{2}-y^{2}}-wave s

Scientific paper

10.1103/PhysRevLett.89.077002

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 variants of the Peierls instability caused by the presence of edges is also discussed.

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