Numerical renormalization group method for quantum impurity systems

被引:1186
|
作者
Bulla, Ralf [1 ,2 ]
Costi, Theo A. [3 ]
Pruschke, Thomas [4 ]
机构
[1] Univ Augsburg, Inst Phys, D-86135 Augsburg, Germany
[2] Univ Cologne, Inst Theoret Phys, D-50937 Cologne, Germany
[3] Forschungszentrum Julich, D-52425 Julich, Germany
[4] Univ Gottingen, Inst Theoret Phys, D-37077 Gottingen, Germany
关键词
D O I
10.1103/RevModPhys.80.395
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In the early 1970s, Wilson developed the concept of a fully nonperturbative renormalization group transformation. When applied to the Kondo problem, this numerical renormalization group (NRG) method gave for the first time the full crossover from the high-temperature phase of a free spin to the low-temperature phase of a completely screened spin. The NRG method was later generalized to a variety of quantum impurity problems. The purpose of this review is to give a brief introduction to the NRG method, including some guidelines for calculating physical quantities, and to survey the development of the NRG method and its various applications over the last 30 years. These applications include variants of the original Kondo problem such as the non-Fermi-liquid behavior in the two-channel Kondo model, dissipative quantum systems such as the spin-boson model, and lattice systems in the framework of the dynamical mean-field theory.
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页码:395 / 450
页数:56
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