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Register a new userSingular continuous Cantor spectrum for magnetic quantum walks
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Added by
Christopher Cedzich
Publication date
2019
fields
Physics
and research's language is
English
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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 as well as its type depend sensitively on the value of the magnetic flux $Phi$: while for $Phi/(2{pi})$ rational the spectrum is known to consist of bands, we show that for $Phi/(2{pi})$ irrational the spectrum is a zero-measure Cantor set and the spectral measures have no pure point part.
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