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Linear-scaling source-sink algorithm for simulating time-resolved quantum transport and superconductivity
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DOI：10.1103/PhysRevB.93.134506.png)
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摘要
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We report on a source-sink algorithm which allows one to calculate time-resolved physical quantities from a general nanoelectronic quantum system (described by an arbitrary time-dependent quadratic Hamiltonian) connected to infinite electrodes. Although mathematically equivalent to the nonequilibrium Green's function formalism, the approach is based on the scattering wave functions of the system. It amounts to solving a set of generalized Schrodinger equations that include an additional source term (coming from the time-dependent perturbation) and an absorbing sink term (the electrodes). The algorithm execution time scales linearly with both system size and simulation time, allowing one to simulate large systems (currently around 106 degrees of freedom) and/or large times (currently around 105 times the smallest time scale of the system). As an application we calculate the current-voltage characteristics of a Josephson junction for both short and long junctions, and recover the multiple Andreev reflection physics. We also discuss two intrinsically time-dependent situations: the relaxation time of a Josephson junction after a quench of the voltage bias, and the propagation of voltage pulses through a Josephson junction. In the case of a ballistic, long Josephson junction, we predict that a fast voltage pulse creates an oscillatory current whose frequency is controlled by the Thouless energy of the normal part. A similar effect is found for short junctions; a voltage pulse produces an oscillating current which, in the absence of electromagnetic environment, does not relax.
Keyword:
COMPLEX ABSORBING POTENTIALS
DEPENDENT TRANSPORT
CHANNEL
DEVICES
DOMAIN
STATES
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期刊
IF:
3.7
论文数:
15.4W
被引数:
41.0W
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