Generalized Wilson chain for solving multichannel quantum impurity problems

The numerical renormalization group is used to solve quantum impurity problems, which describe magnetic impurities in metals, nanodevices, and correlated materials within dynamical mean field theory. Here we present a simple generalization of the Wilson chain, which improves the scaling of computati...

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Veröffentlicht in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2014-03, Vol.89 (12), Article 121105
Hauptverfasser: Mitchell, Andrew K., Galpin, Martin R., Wilson-Fletcher, Samuel, Logan, David E., Bulla, Ralf
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Sprache:eng
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Zusammenfassung:The numerical renormalization group is used to solve quantum impurity problems, which describe magnetic impurities in metals, nanodevices, and correlated materials within dynamical mean field theory. Here we present a simple generalization of the Wilson chain, which improves the scaling of computational cost with the number of conduction bands, bringing more complex problems within reach. The method is applied to calculate the t matrix of the three-channel Kondo model at T = 0, which shows universal crossovers near non-Fermi-liquid critical points. A nonintegrable three-impurity problem with three bands is also studied, revealing a rich phase diagram and novel screening and overscreening mechanisms.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.89.121105