Abstract
A theory of stabilization of a spin liquid in a Kondo lattice at temperatures close to the temperature of antiferromagnetic instability has been developed. Kondo exchange scattering of conduction electrons leads to emergence of a state of the spin liquid of the resonating valence bonds (RVB) type at T>T K. Owing to this stabilization, low-energy processes of Kondo scattering with energies below T K are frozen so that the “singlet” state of the Kondo lattice is not realized; instead a strongly correlated spin liquid with developed antiferromagnetic fluctuations occurs. A new version of the Feynman diagram technique has been developed to describe interaction between spin fluctuations and resonant valence bonds in a self-consistent manner. Emergence of a strongly anisotropic RVB spin liquid is discussed.
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References
G. Zwicknagl, Adv. Phys. 41, 203 (1992).
A. C. Hewson, The Kondo Problem to Heavy Fermions, Cambridge University Press, Cambridge (1993).
S. Doniach, Physica B 91, 231 (1977).
F. J. Ohkawa, Prog. Theor. Phys. Suppl. No. 108, 209 (1992).
Y. Kuramoto and K. Miyake, Prog. Theor. Phys. Suppl. No. 108, 199 (1992).
P. Coleman and N. Andrei, J. Phys.: Condens. Matter 1, 4057 (1989).
J. A. Millis and P. A. Lee, Phys. Rev. B 35, 3394 (1987).
Yu. Kagan, K. A. Kikoin, and N. V. Prokof’ev, Physica B 182, 201 (1992).
J. Gan, P. Coleman, and N. Andrei, Phys. Lett. 68, 3476 (1992).
A. A. Abrikosov, Physics 2, 21 (1965).
I. Affleck and J. B. Marston, Phys. Rev. B 37, 3774 (1988).
I. Affleck, Z. Zou, T. Hsu, and P. W. Anderson, Phys. Rev. B 38, 745 (1988).
L. B. Ioffe and A. I. Larkin, Phys. Rev. B 39, 8988 (1989).
P. A. Lee and N. Nagaosa, Phys. Rev. B 46, 5621 (1992).
S. Elitzur, Phys. Rev. D 12, 3978 (1975).
G. Baskaran, Z. Zou, and P. W. Anderson, Solid State Commun. 63, 973 (1987).
A. Ruckenstein, P. Hirschfeld, and J. Appel, Phys. Rev. B 36, 857 (1987).
K. A. Kikoin, M. N. Kiselev, and A. S. Mishchenko, JETP Lett. 60, 358 (1994).
Yu. A. Izyumov and Yu. N. Skryabin, Statistical Mechanics of Magnetically Ordered Systems [in Russian], Nauka, Moscow (1987).
V. G. Bar’yakhtar, V. N. Krivoruchko, and D. A. Yablonskii, Green’s Functions in the Theory of Magnetism [in Russian], Naukova Dumka, Kiev (1984).
H. Keiter and G. Morandi, Phys. Rep. 109, 227 (1984).
F. Onufrieva and J. Rossat-Mignod, Phys. Rev. B 52, 7572 (1995).
D. C. Mattis, The Theory of Magnetism, Harper and Row, New York (1965).
W. W. Lewis and R. B. Stinchcombe, Proc. Phys. Soc. London 92, 1002 (1967).
S. E. Barnes, J. Phys. F 6, 1375 (1976).
G. Kotliar and A. E. Ruckenstein, Phys. Rev. Lett. 5, 1362 (1986).
P. Coleman, E. Miranda, and A. M. Tsvelik, Phys. Rev. Lett. 70, 2960 (1993).
X.-G. Wen and P. A. Lee, Phys. Rev. Lett. 76, 503 (1996).
Y. Ono, T. Matsuura, and Y. Kuroda, Physica C 159, 878 (1989).
J. Hubbard, Proc. R. Soc. London, Ser. A 285, 542 (1965).
R. O. Zaitsev, Zh. Éksp Teor. Fiz. 70, 1100 (1976) [Sov. Phys. JETP 43, 574 (1976)].
T. Yanagisawa, Phys. Rev. B 40, 6666 (1989).
J. Brinckmann, Europhys. Lett. 28, 187 (1994).
A. I. Larkin, Zh. Éksp. Teor. Fiz. 37, 264 (1960) [Sov. Phys. JETP 10, 186 (1960)].
K. Kuboku, J. Phys. Soc. Jpn. 62, 420 (1993).
C. Mudry and E. Fradkin, Phys. Rev. B 49, 5200 (1994).
D. R. Grempel and M. Lavagna, Solid State Commun. 83, 595 (1992).
T. Tanamoto, H. Kohno, and H. Fukuyama, J. Phys. Soc. Jpn. 62, 617 (1993).
I. S. Sandalov and M. Richter, Phys. Rev. B 50, 12855 (1994).
P. W. Anderson, Mater. Res. Bull. 8, 153 (1973).
C. M. Varma, in Theory of Heavy Fermions and Valence Fluctuations, Springer Series in Solid-State Sciences, T. Kasuya and T. Saso (eds.), Vol. 62, Springer-Verlag, Berlin (1985), p. 277.
K. Yosida and A. Okiji, Prog. Theor. Phys. 34, 505 (1965).
A. A. Abrikosov and A. A. Migdal, J. Low Temp. Phys. 3, 519 (1970).
A. M. Tsvelik and P. B. Wiegmann, Adv. Phys. 32, 453 (1983).
K. Miura, T. Ono, and K. Kuboku, Physica C 179, 411 (1991).
F. Nozieires, Ann. de Phys. 10, 1 (1985).
K. A. Kikoin, J. Phys.: Condens. Matter 8, 3601 (1996).
A. Chubukov, Phys. Rev. B 44, 392 (1991).
B. I. Halperin and P. C. Hohenberg, Rev. Mod. Phys. 49, 435 (1977).
S. Chakraverty, B. I. Halperin, and D. Nelson, Phys. Rev. B 39, 2344 (1989).
S. V. Maleyev, Sov. Sci. Rev. A, I. M. Khalatnikov (ed.), Harwood Press, New York (1987), Vol. 8, p. 323.
K. A. Kikoin, M. N. Kiselev, and A. S. Mishchenko, E-prints archive, Cond-Matt/96 08 121.
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Zh. Éksp. Teor. Fiz. 112, 729–759 (August 1997)
An erratum to this article is available at http://dx.doi.org/10.1134/1.558429.
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Kikoin, K.A., Kiselev, M.N. & Mishchenko, A.S. Spin liquid in an almost ferromagnetic Kondo lattice. J. Exp. Theor. Phys. 85, 399–414 (1997). https://doi.org/10.1134/1.558374
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DOI: https://doi.org/10.1134/1.558374