Mitchell, Andrew K., Galpin, Martin R., Wilson-Fletcher, Samuel, Logan, David E. and Bulla, Ralf (2014). Generalized Wilson chain for solving multichannel quantum impurity problems. Phys. Rev. B, 89 (12). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1550-235X

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Abstract

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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Mitchell, Andrew K.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Galpin, Martin R.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Wilson-Fletcher, SamuelUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Logan, David E.UNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Bulla, RalfUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-443449
DOI: 10.1103/PhysRevB.89.121105
Journal or Publication Title: Phys. Rev. B
Volume: 89
Number: 12
Date: 2014
Publisher: AMER PHYSICAL SOC
Place of Publication: COLLEGE PK
ISSN: 1550-235X
Language: English
Faculty: Faculty of Mathematics and Natural Sciences
Divisions: Faculty of Mathematics and Natural Sciences > Department of Physics > Institute for Theoretical Physics
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
RENORMALIZATION-GROUP METHOD; KONDO PROBLEM; FIELD-THEORY; INFINITE DIMENSIONS; HEAVY FERMIONS; SYSTEMS; MODEL; HAMILTONIANS; TRANSITIONS; TRANSISTORMultiple languages
Materials Science, Multidisciplinary; Physics, Applied; Physics, Condensed MatterMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/44344

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