Quick Search:
Prog. Theor. Phys. Supplement No.108 (1992) pp. 73-88
Excitation Spectra of the Impurity Anderson Model Calculated by the Numerical Renormalization Group Method
Osamu Sakai,
Yukihiro Shimizu and
Tadao Kasuya
Department of Physics, Tohoku University, Sendai 980
(Received October 21, 1991)
Abstract:
A method to calculate the excitation spectra of the impurity Anderson model based on the numerical renormalization group technique is reviewed. The single particle and the magnetic excitation spectra are calculated for the cases of various magnitudes of the f-f Coulomb interaction to compare them with experimentally observed broad PES-BIS spectra in U-compounds. Excitation spectra in the Kondo limit are also examined in detail. The Kondo effect due to the magnetic ions with complex multiplet structures, such as the Sm- and the Tm-like ions, is studied. The excitation spectra of the two impurity Anderson model are calculated and roles of the parity splitting are discussed.
URL :
http://ptp.ipap.jp/link?PTPS/108/73/
DOI : 10.1143/PTPS.108.73
References:
-
K. G. Wilson, Rev. Mod. Phys. 47 (1975), 773[APS].
-
H. R. Krishna-murthy, J. W. Wilkins and K. G. Wilson, Phys. Rev. B 21 (1989), 1003[APS];
ibid. 21 (1989), 1044[APS].
-
O. Sakai, Y. Shimizu and T. Kasuya, J. Phys. Soc. Jpn. 58 (1989), 3666[JPSJ].
- O. Sakai, Y. Shimizu, R. Takayama and T. Kasuya, Physica B 163 (1990), 695.
- Y. Shimizu, O. Sakai and T. Kasuya, submitted to J. Phys. Soc. Jpn.
-
Y. Shimizu, O. Sakai and T. Kasuya, Physica B 163 (1990), 401[CrossRef].
-
O. Sakai, Y. Shimizu and T. Kasuya, Solid State Commun. 75 (1990), 81[CrossRef].
- O. Sakai and Y. Shimizu, submitted to J. Phys. Soc. Jpn.
- In this process, the re-orthogonalization of bases is necessary to avoid numerical instability, Y. Shirono, Master Thesis of Tohoku University (1990), (unpublished).
- In Eq. (4) of Ref. 3), the sign factor should be replaced by (-1)nl + j'l + J'l-1 + Jl and in Eq. (7) by (-1)nl + j + jl + Jl + J'l-1.
-
H. O. Frota and L. N. Oliveira, Phys. Rev. B 33 (1986), 7871[APS].
-
M. Yoshida, M. A. Whitaker and L. N. Oliveira, Phys. Rev. B 41 (1990), 9403[APS].
-
See for example, A. Yoshimori and A. Zawadowski, J. of Phys. C 15 (1982), 5241[IoP STACKS].
- H. Shiba, Prog. Theor. Phys. 54 (1975), 967[PTP].
- See for example, O. Gunnarsson and K. Schönhammer, Handbook on the Physics and Chemistry of Rare Earths, ed. K. A. Gschneidner, Jr., L. Eyring and S. Hufner (North-Holland, 1987), vol. 10, p. 103.
- Y. Baer, Handbook on the Physics and Chemistry of the Actinides, ed. A. J. Freeman and G. H. Lander (North-Holland, 1984), vol. 1, p. 271.
- H. R. Ott and Z. Fisk, Handbook on the Physics and Chemistry of the Actinides, ed. A. J. Freeman and G. H. Lander (North-Holland, 1987), vol. 5, p. 85.
-
C. Laubschat, W. Gerntz and G. Kaindl, Phys. Rev. B 37 (1988), 8082[APS].
- T. Ejima, Master Thesis of Tohoku University (1991), (unpublished).
-
J. W. Allen, S.-J. Oh, L. E. Cox, W. P. Ellis, M. S. Wire, Z. Fisk, J. L. Smith, B. B. Pate, I. Lindau and A. J. Arko, Phys. Rev. Lett. 54 (1985), 2635[APS].
-
A. J. Arko, C. G. Olson, D. M. Wieliczka, Z. Fisk and J. L. Smith, Phys. Rev. Lett. 53 (1984), 2050[APS].
- See for example, A. Kotani and T. Yamazaki, Prog. Theor. Phys. Suppl. No. 108 (1992), 117[PTP].
-
J. S. Kang, J. W. Allen, M. B. Maple, M. S. Torikachvili, B. Pate, W. Ellis and I. Lindau, Phys. Rev. Lett. 59 (1987), 493[APS].
-
D. D. Sarma, S. Krummacher, A. Wallash and J. E. Craw, Phys. Rev. B 34 (1986), 3737[APS].
- S. Takagi, private communication.
-
Y. Kuramoto, Z. Phys. B 53 (1983), 37[CrossRef].
-
O. Gunnarsson and K. Schönhammer, Phys. Rev. B 28 (1983), 4315[APS];
ibid. 31 (1985), 4815[APS].
- O. Sakai, M. Motizuki and T. Kasuya, Core-Level Spectroscopy Systems, ed. J. Kanamori and A. Kotani (Springer-Verlag, 1988), p. 45.
- See for example, A. Okiji and N. Kawakami, Theory of Heavy Fermion Systems and Valence Fluctuations, ed. T. Kasuya and T. Saso (Springer-Verlag, 1985), p. 46, p. 57.
- K. Yamada, Prog. Theor. Phys. 53 (1975), 970[PTP].
K. Yosida and K. Yamada, Prog. Theor. Phys. 53 (1975), 1286[PTP].
-
See for example, N. E. Bickers, Rev. Mod. Phys. 59 (1987), 845[APS].
-
Similar expression has been proposed by Y. Kuramoto and K. Miyake, J. Phys. Soc. Jpn. 59 (1990), 2831[JPSJ].
- E. Umlauf, P. Sütsch and E. Hess, Crystalline Electric Field and Structural Effects in f-Electron Systems, ed. J. E. Craw, R. P. Guertin and T. W. Mihalisin (Plenum, 1980), p. 341.
- See for example, T. Saso, Prog. Theor. Phys. Suppl. No. 108 (1992), 89[PTP].
- See for example, B. A. Jones, Field Theories in Condensed Matter Physics, ed. Z. Tesanovic (Addison-Wesley, 1990), p. 87.
-
B. A. Jones, C. M. Varma and J. W. Wilkins, Phys. Rev. Lett. 61 (1988), 125[APS].
-
See for example, J. Rossat-Mignod, L. P. Regnault, J. L. Jacoud, C. Vettier, P. Lejay, J. Flouquet, E. Walker, D. Jaccard and A. Amato, J. Magn. Magn. Mater. 76-77 (1988), 376[CrossRef].
-
See for example, K. Miyake, J. Magn. Magn. Mater. 63-64 (1987), 411[CrossRef].
- K. Yamada, Prog. Theor. Phys. 62 (1979), 901[PTP].
- Y. Ono, T. Matsuura and Y. Kuroda, Physica C 159 (1989), 873.
-
C. -I. Kim, Y. Kuramoto and T. Kasuya, J. Phys. Soc. Jpn. 59 (1990), 2414[JPSJ].
-
T. Koyama and M. Tachiki, Phys. Rev. B 36 (1987), 437[APS].
Citing Article(s) :
-
Journal of the Physical Society of Japan 61 (1992) pp. 3239-3254
:
-
Numerical Renormalization Group Study of Magnetic Impurities in Superconductors
-
Koji Satori, Hiroyuki Shiba, Osamu Sakai and Yukihiro Shimizu
-
Journal of the Physical Society of Japan 62 (1993) pp. 3181-3197
:
-
Numerical Renormalization Group Study of Magnetic Impurities in Superconductors. II. Dynamical Excitation Spectra and Spatial Variation of the Order Parameter
-
Osamu Sakai, Yukihiro Shimizu, Hiroyuki Shiba and Koji Satori
-
Journal of the Physical Society of Japan 64 (1995) pp. 4345-4362
:
-
Kondo Effect Due to Impurities with (5f)n Configuration: Fermi Liquid Versus Non-Fermi Liquid
-
Mikito Koga and Hiroyuki Shiba
-
Journal of the Physical Society of Japan 65 (1996) pp. 2632-2639
:
-
Analysis for Softening of Elastic Constant and Specific Heat in CePd 2Al 3 - Quadrupole Response Induced by the Kondo Effect -
-
Yukihiro Shimizu and Osamu Sakai
-
Journal of the Physical Society of Japan 65 (1996) pp. 3007-3015
:
-
A New Type of Fermi-Liquid Fixed Point in Kondo Effect Due to (5 f) 2 Configuration
-
Mikito Koga and Hiroyuki Shiba
-
Journal of the Physical Society of Japan 65 (1996) pp. 4034-4044
:
-
Magnetic Excitation and Transport Coefficients of the Impurity Anderson Model -Comparison between the 2-Fold and 4-Fold Models-
-
Shunya Suzuki, Osamu Sakai and Yukihiro Shimizu
-
Journal of the Physical Society of Japan 66 (1997) pp. 1485-1494
:
-
Stability of Non-Fermi Liquid in Kondo Effect due to (5 f) 2 Configuration
-
Mikito Koga and Hiroyuki Shiba
-
Journal of the Physical Society of Japan 66 (1997) pp. 1512-1525
:
-
Excitation Spectra of the Anderson Model with Charge Screening through d- f Coulomb Interaction
-
Ryu Takayama and Osamu Sakai
-
Journal of the Physical Society of Japan 66 (1997) pp. 2950-2951
:
-
Mechanisms of Anomalous NMR in CeB 6
-
Tadao Kasuya
-
Journal of the Physical Society of Japan 67 (1998) pp. 1844-1847
:
-
Single Impurity Anderson Model with Coulomb Repulsion between Conduction Electrons on the Nearest-Neighbour Ligand Orbital
-
Ryu Takayama and Osamu Sakai
-
Journal of the Physical Society of Japan 71 (2002) pp. 943-947
:
-
Nonvanishing Local Moment in Triplet Superconductors
-
Mikito Koga and Masashige Matsumoto
-
Journal of the Physical Society of Japan 73 (2004) pp. 2494-2504
:
-
Quantum Phase Transition in a Minimal Model for the Kondo Effect in a Josephson Junction
-
Akira Oguri, Yoshihide Tanaka and A. C. Hewson
-
Journal of the Physical Society of Japan 74 (2005) pp. 49-58
:
-
New Aspects of Quasi-Kondo Physics: Two-Level Kondo and Strongly Coupled Local Electron–Phonon Systems
-
Satoshi Yotsuhashi, Masatsugu Kojima, Hiroaki Kusunose and Kazumasa Miyake
-
Journal of the Physical Society of Japan 74 (2005) pp. 988-996
:
-
NRG Approach to the Transport through a Finite Hubbard Chain Connected to Reservoirs
-
Akira Oguri and A. C. Hewson
-
Journal of the Physical Society of Japan 74 (2005) pp. 2554-2562
:
-
Determination of the Phase Shifts for Interacting Electrons Connected to Reservoirs
-
Akira Oguri, Yunori Nisikawa and A. C. Hewson
-
Journal of the Physical Society of Japan 76 (2007) 074701
(9 pages) :
-
Numerical Renormalization Group Approach to a Quantum Dot Coupled to Normal and Superconducting Leads
-
Yoichi Tanaka, Norio Kawakami, and Akira Oguri
-
Progress of Theoretical Physics Supplement No.108 (1992) pp. 89-116
:
-
Variational and Self-Consistent Perturbational Theories for Generalized Kondo Systems
-
Tetsuro Saso