Abstract
I discuss a Monte Carlo method to study properties of a few magnetic impurities in an electron gas. Results for the magnetic susceptibility of a single impurity show the expected universal Kondo behavior at low temperatures. Other properties of a single impurity as well as properties of two magnetic impurities are discussed.
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References
J. E. Hirsch, D. J. Scalapino, R. L. Sugar and R. Blankenbecler, Phys, Rev. Lett. 47, 1628 (1981); Phys. Rev. B26, 5033 (1982).
J. E. Hirsch and R. M. Fye, Phys. Rev. Lett. 56, 2521 (1986).
J. E. Gubernatis, T. C. Olson, D. J. Scalapino and R. L. Sugar, J. Stat. Phys, 43, 831 (1986).
R. M. Fye and J. E. Hirsch, unpublished.
Functional integral formulations of the Anderson model using Gaussian auxiliary fields were introduced in S. Q. Wang, W. E. Evenson and J.R. Schrieffer, Phys. Rev. Lett. 23, 92 (1969) and D. R. Hamman, Phys. Rev. Lett. 23, 95 (1969);
Ising auxiliary fields are discussed in J. E. Hirsch, Phys. Rev. B28, 4059 (1983) and Phys. Rev. B34, 3216 (1986).
R. Blankenbecler, D. J. Scalapino and R. L. Sugar, Phys. Rev, D24, 2278 (1981)
J. E. Hirsch, J. Stat. Phys, 43, 841 (1986).
K. G. Wilson, Rev. Mod. Phys. 47, 773 (1973);
H.R. KrishnaMurthy, J.W. Wilkins and K. G. Wilson, Phys. Rev. B21, 1003 (1980).
P.B. Wiegmann and A.M. Tsvelick, J. Phys. C16, 2281 (1983);
B. Horvatic and V. Zlatic, J. Phys. (Paris) 46, 1459 (1985).
J. E. Gubernatis, J. E. Hirsch and D.J. Scalapino, to be published.
J. E. Hirsch and D. J. Scalapino, unpublished.
H. J. Vidberg and J. W. Serene, J. Low Temp. Phys. 29, 179 (1977).
J. E. Hirsch and H.Q. Lin, to be published.
S. Alexander and P, W. Anderson, Phys. Rev.133A, 1594 (1964).
K. Yamada, Prog, Theor. Phys. 62, 901 (1979).
P. Gottlieb and H. Suhl, Phys. Rev. 134A, 1586 (1964).
S.H. Liu, Phys. Rev. 163, 472 (1967); T. Moriya, Prog, Theor, Phys. 33, 157 (1965).
M.A. Rudermann and C. Kittel, Phys. Rev. 96, 99 (1954).
C. Jayaprakash, H.R. Krishnamurthy and J, W, Wilkins, Phys. Rev. Lett, 47, 737 (1981).
S. Chakraverty and J. E. Hirsch, Phys. Rev. B25, 3273 (1982).
E. Abrahams and C. M. Varma, preprint.
B. A. Jones and C. M. Varma, preprint.
R, M. Fye, J. E. Hirsch and D. J, Scalapino, to be published.
H. Q. Lin and J. E. Hirsch, unpublished.
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© 1987 Springer-Verlag Berlin Heidelberg
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Hirsch, J.E. (1987). Simulation of Magnetic Impurities in Metals. In: Suzuki, M. (eds) Quantum Monte Carlo Methods in Equilibrium and Nonequilibrium Systems. Springer Series in Solid-State Sciences, vol 74. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83154-6_20
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DOI: https://doi.org/10.1007/978-3-642-83154-6_20
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