# Topologically nontrivial Andreev bound states

Pasquale Marra, Muneto Nitta

9 被引用数 (Scopus)

## 抄録

Andreev bound states are low-energy excitations appearing below the particle-hole gap of superconductors, and are expected to be topologically trivial. Here, we report the theoretical prediction of topologically nontrivial Andreev bound states in one-dimensional superconductors. These states correspond to another topological invariant defined in a synthetic two-dimensional space, the particle-hole Chern number, which we construct in analogy to the spin Chern number in quantum spin Hall systems. Nontrivial Andreev bound states have distinct features and are topologically nonequivalent to Majorana bound states. Yet, they can coexist in the same system, have similar spectral signatures, and materialize with the concomitant opening of the particle-hole gap. The coexistence of Majorana and nontrivial Andreev bound state is the direct consequence of "double dimensionality", i.e., the dimensional embedding of the one-dimensional system in a synthetic two-dimensional space, which allows the definition of two distinct topological invariants (Z2 and Z) in different dimensionalities.

本文言語 English 220502 Physical Review B 100 22 https://doi.org/10.1103/PhysRevB.100.220502 Published - 2019 12 5

## ASJC Scopus subject areas

• 電子材料、光学材料、および磁性材料
• 凝縮系物理学

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