Home > Publications database > Self-energy method for time-dependent spectral functions of the Anderson impurity model within the time-dependent numerical renormalization group approach > print

001     902441
005     20240625095035.0
024 7 _ |a 10.1103/PhysRevB.104.205113
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100 1 _ |a Nghiem, H. T. M.
|0 P:(DE-Juel1)156259
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245 _ _ |a Self-energy method for time-dependent spectral functions of the Anderson impurity model within the time-dependent numerical renormalization group approach
260 _ _ |a Woodbury, NY
|c 2021
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520 _ _ |a The self-energy method for quantum impurity models expresses the correlation part of the self-energy in terms of the ratio of two Green's functions and allows for a more accurate calculation of equilibrium spectral functions than is possible directly from the one-particle Green's function [Bulla et al., J. Phys.: Condens. Matter 10, 8365 (1998)], for example, within the numerical renormalization group method. In addition, the self-energy itself is a central quantity required in the dynamical mean field theory of strongly correlated lattice models. Here, we show how to generalize the self-energy method to the time-dependent situation for the prototype model of strong correlations, the Anderson impurity model. We use the equation-of-motion method to obtain closed expressions for the local Green's function in terms of a time-dependent correlation self-energy, with the latter being given as a ratio of a one-particle time-dependent Green's function and a higher-order correlation function. We benchmark this self-energy approach to time-dependent spectral functions against the direct approach within the time-dependent numerical renormalization group method. The self-energy approach improves the accuracy of time-dependent spectral function calculations, and the closed-form expressions for the Green's function allow for a clear picture of the time evolution of spectral features at the different characteristic time scales. The self-energy approach is of potential interest also for other quantum impurity solvers for real-time evolution, including time-dependent density matrix renormalization group and continuous-time quantum Monte Carlo techniques.
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700 1 _ |a Costi, Theodoulos
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773 _ _ |a 10.1103/PhysRevB.104.205113
|g Vol. 104, no. 20, p. 205113
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|y 2021
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856 4 _ |u https://juser.fz-juelich.de/record/902441/files/PhysRevB.104.205113.pdf
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