Lanczos-adapted time evolution for open boundary quantum transport

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Verdozzi, Claudio
Almbladh, Carl-Olof
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Abstract
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We increase the efficiency of a recently proposed time integration scheme for time dependent quantum transport by using the Lanczos method for time evolution. We illustrate our modified scheme in terms of a simple one dimensional model. Our results show that the Lanczos-adapted scheme gives a large increase in numerical efficiency, and is an advantageous route for numerical time integration in ab-initio treatment of open boundary quantum transport phenomena.
Comment: 11 pages, 1 figure
Keywords
Condensed Matter - Mesoscale and Nanoscale Physics
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