Generalized Wilson chain for solving multichannel quantum impurity problems

被引:53
|
作者
Mitchell, Andrew K. [1 ]
Galpin, Martin R. [1 ]
Wilson-Fletcher, Samuel [1 ]
Logan, David E. [1 ]
Bulla, Ralf [2 ]
机构
[1] Univ Oxford, Dept Chem Phys & Theoret Chem, Oxford OX1 3QZ, England
[2] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany
来源
PHYSICAL REVIEW B | 2014年 / 89卷 / 12期
基金
英国工程与自然科学研究理事会;
关键词
RENORMALIZATION-GROUP METHOD; KONDO PROBLEM; FIELD-THEORY; INFINITE DIMENSIONS; HEAVY FERMIONS; SYSTEMS; MODEL; HAMILTONIANS; TRANSITIONS; TRANSISTOR;
D O I
10.1103/PhysRevB.89.121105
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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.
引用
收藏
页数:5
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