P. A. Kalozoumis, C. Morfonios, F. K. Diakonos, P. Schmelcher
The impact of local symmetries on the transport properties of one-dimensional aperiodic arrays of potential barriers is explored. We show that weak commutation of combined local parity operations with the Hamiltonian induces states which either possess definite local parity and zero current or are totally transmitting with their probability density following the local symmetries of the potential. Our findings are illustrated through a construction principle for barrier arrays with prescribed transport features.
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http://arxiv.org/abs/1207.1043
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