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- W1990094128 abstract "We develop a simple effective-mass formalism for studying the effect of the Rivier lines (odd lines) on the electronic states in a tight-binding model defined for continuous random networks. Rivier lines act like infinitely thin fictitious solenoids carrying half-integer magnetic flux quanta for states close to the antibonding end of the band. The electron feels the effect of these flux lines through a ``vector potential.'' Half-integer flux quanta of the flux lines ensure time-reversal invariance of the Hamiltonian. We briefly discuss some consequences of the peculiar properties of the Rivier lines and applications of our effective-mass formalism." @default.
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- W1990094128 date "1986-06-01" @default.
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- W1990094128 title "Electronic states in continuous random networks: Rivier lines as half-integer magnetic flux lines" @default.
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- W1990094128 doi "https://doi.org/10.1103/physrevb.33.7594" @default.
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