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- W3005252221 abstract "In this note, we consider a physical system given by a two-dimensional quantum walk in an external magnetic field. In this setup, we show that both the topological structure and its type depend sensitively on the value of the magnetic flux $$Phi $$: While for $$Phi /(2pi )$$ rational the spectrum is known to consist of bands, we show that for $$Phi /(2pi )$$ irrational, the spectrum is a zero-measure Cantor set and the spectral measures have no pure point part." @default.
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- W3005252221 date "2020-02-05" @default.
- W3005252221 modified "2023-10-16" @default.
- W3005252221 title "Singular continuous Cantor spectrum for magnetic quantum walks" @default.
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- W3005252221 doi "https://doi.org/10.1007/s11005-020-01257-1" @default.
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