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Topological Quantum Computing

Solitons in one-dimensional lattices with a flat band

arXiv
Authors: D. Bercioux, O. Dutta, E. Rico

Year

2016

Paper ID

43461

Status

Preprint

Abstract Read

~2 min

Abstract Words

76

Citations

N/A

Abstract

We investigate the spectral properties of a quasi-one-dimensional lattice in two possible dimerisation configurations. Both configurations are characterized by the same lattice topology and the identical spectra containing a flat band at zero energy. We find that one of the dimerised configuration has similar symmetry to a one-dimensional chain proposed by Su-Schrieffer-Heeger for studying solitons in conjugated polymers. Whereas, the other dimerised configuration only shows non-trivial topological properties in the presence of chiral-symmetry breaking adiabatic pumping.

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  • This paper contributes to the Topological Quantum Computing research area in the Quantum Articles archive.
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  • We investigate the spectral properties of a quasi-one-dimensional lattice in two possible dimerisation configurations.

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