The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Numerical renormalization group method for quantum impurity systems
Open accessAbstract
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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Citations
Cites
Dynamics of the dissipative two-state system
Leggett, A. J., Chakravarty, S., Dorsey, A. T., Fisher, M. P. A., Garg, A., & Zwerger, W. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1 · Cited by 5,109 · cited 3×
“In the spin-boson model one is interested in the dynamics of a spin, σz, described by P (t) = 〈σz(t)〉̺I , following an initial-state preparation of the system described by an initial density matrix ̺I (Leggett et al., 1987).”
The density-matrix renormalization group
Schollwöck, U. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.259 · Cited by 3,323
Cited by
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
Nonequilibrium dynamical mean-field theory and its applications
Aoki, H., Tsuji, N., Eckstein, M., Kollar, M., Oka, T., & Werner, P. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.779 · Cited by 773
Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
Schneider, U., Hackermüller, L., Will, S., Best, T., Bloch, I., Costi, T. A., Helmes, R. W., Rasch, D., & Rosch, A. (2008) · Science · doi:10.1126/science.1165449 · Cited by 720
Self-citationHaule, K., Yee, C.-H., & Kim, K. (2010) · Physical Review B · doi:10.1103/physrevb.81.195107 · Cited by 614
LeBlanc, J. P. F., Antipov, A. E., Becca, F., Bulik, I. W., Chan, G. K.-L., Chung, C.-M., Deng, Y., Ferrero, M., Henderson, T. M., Jiménez-Hoyos, C. A., et al. (2015) · Physical Review X · doi:10.1103/physrevx.5.041041 · Cited by 601
Metadata
- Authors
- Bulla, R., Costi, T. A., & Pruschke, T.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2008-04-02
- Volume
- 80
- Issue
- 2
- Pages
- 395-450
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- OpenAlex
- W1973025658
- Cited by
- 1,478
- References
- 2
- FWCI
- 54.14
- Type
- journal article
- Language
- en
- Open access
- green
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