Abstract
There are numerous models in the literature of condensed matter theory, whose significance for achieving progress in our understanding of nature goes far beyond the original aim of explaining specific experimental observations. One may mention in this context the Bardeen-Cooper-Schrieffer’s explanation of the nature of electron pairing in superconductors, the Ginzburg-Landau equation intended for describing critical uctuations, the concept of selflocalization of excitations in a perfect crystal formulated by Deigen, Pekar and Toyozawa and various other seminal ideas. The explanation offered by J. Kondo for the puzzling shallow minimum in the temperature dependent resistivity of metals doped by magnetic impurities [1] is one of the most salient examples of this kind of scenario. To explain it, consider first Kondo’s original idea, which was formulated within the framework of a well-established Hamiltonian describing exchange interaction between an impurity spin S r located on a given site r and the spin density s r pertaining to a Fermi sea of conduction electrons at this site. The latter is defined by the Fourier transform of the itinerant spin \( s_{kk'} = c_{k\sigma }^\dag \hat \tau c_{k'\sigma '} \) projected on the impurity site r, namely \( s_r = \sum\nolimits_{kk'} {s_{kk'} } {\text{ exp[i(}}k - k'{\text{)}} \cdot r{\text{]}} \).
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References
J. Kondo: Prog. Theor. Phys. 32, 37 (1964)
K. G. Wilson: Rev. Mod. Phys. 47, 773 (1975)
A. M. Tsvelik, P. B. Wiegmann: Adv. Phys. 32, 453 (1983)
N. Andrei, K. Furuya, J. H. Lowenstein: Rev. Mod. Phys. 55, 331 (1983)
J. Appelbaum: Phys. Rev. Lett. 17, 91 (1966)
P. W. Anderson: Phys. Rev. Lett. 17, 95 (1966)
J. R. Schrieffer, P. A. Wolff: Phys. Rev. 149, 491 (1966)
J. Friedel: Can. J. Phys. 34, 1190 (1956)
P. W. Anderson: Phys. Rev. 124, 41 (1961)
K. S. Dy: Phys. Status Solidi (b) 81, K111 (1977)
B. Coqblin, J. R. Schrieffer: Phys. Rev. 185, 847 (1969)
B. Cornut, B. Coqblin: Phys. Rev. B 5, 4541 (1972)
I. Affleck, J. Marston: Phys. Rev. Lett. 37, 3774 (1988)
N. Read, S. Sachdev: Nucl. Phys. B 316, 609 (1989)
P. Nozieres, A. Blandin: J. Phys. (Paris) 41, 193 (1980)
P. Nozieres: J. Low Temp. Phys. 17, 31 (1974)
A. Zawadowski, K. Vladar: Solid State Commun. 35, 217 (1980)
D. L. Cox: Phys. Rev. Lett. 59, 1240 (1987)
S. E. Barnes: Phys. Rev. B 37, 3671 (1988)
D. L. Cox, A. Zawadowski: Adv. Phys. 47, 943 (1998)
A. K. Zhuravlev, V. Yu. Irkhin, M. I. Katsnelson et al: Phys. Rev. Lett. 93, 236403 (2004)
L. I. Glazman, M. E. Raikh: JETP Lett. 47, 452 (1988)
T. K. Ng, P. A. Lee: Phys. Rev. Lett. 61, 1768 (1988)
D. Goldhaber-Gordon, H. Shtrikman, D. Mahalu et al: Nature 391, 156 (1998)
S. M. Cronenwett, T. H. Oosterkamp, L. P. Kouwenhoven: Science 281, 540 (1998)
F. Simmel, R. H. Blick, J. P. Kotthaus et al: Phys. Rev. Lett. 83, 804 (1999)
K. A. Matveev: Zh. Eksp. Teor. Phys. 98, 1598 (1991) [Sov. Phys. JETP 72, 892 (1991)]; Phys. Rev. B 51, 1743 (1995)
E. Lebanon, A. Shiller: Phys. Rev. B 64, 245338 (2001)
C. J. Bolech, N. Shah: Phys. Rev. Lett. 95, 036801 (2005)
K. Kikoin, Y. Avishai: Phys. Rev. B 62, 4647 (2000)
M. Pustilnik, Y. Avishai, K. Kikoin: Phys. Rev. Lett. 84, 1756 (2000)
D. Giuliano, A. Tagliacozzo: Phys. Rev. Lett. 84, 4677 (2000)
M. Eto, Yu. Nazarov: Phys. Rev. Lett. 85, 1306 (2000)
Single Charge Tunneling, ed by H. Grabert, M. H. Devoret (Plenum, New York 1992)
Mesoscopic Electron Transport, ed by L. L. Son, L. P. Kouwenhoven, G. Schön (Kluwer, Dordrecht 1997)
W. G. van der Wiel, S. De Franceschi, J. M. Enselman et al: Rev. Mod. Phys. 75, 1 (2003)
F. Hofmann, T. Heinzel, D. A. Wharam et al: Phys. Rev. B 51, 13872 (1995)
L. W. Molenkamp, K. Flensberg, M. Kemerlink: Phys. Rev. Lett. 75, 4282 (1995)
C. Livermore, C. H. Crouch, R. M. Westervelt et al: Science 274, 1382 (1996)
J. J. Palacios, P. Hawrilak: Phys. Rev. B 51, 1769 (1995)
D. Loss, D. P. DiVincenzo: Phys. Rev. A 57, 120 (1998)
B. Partoens, F. M. Peeters, Phys. Rev. Lett. 84, 4433 (2000)
K. Kikoin, Y. Avishai: Phys. Rev. Lett. 86, 2090 (2001); Phys. Rev. B 65, 115329 (2002)
N. J. Craig, J. M. Taylor, E. A. Lester et al: Science 304, 565 (2004)
M. Stopa: Phys. Rev, Lett. 88, 146802 (2002)
A. Vidan, R. M. Westervelt, M. Stopa et al: Appl. Phys. Lett. 85, 3602 (2004)
L. Gaudreau, S. Studenikin, A. Sachrajda et al: cond-mat/06015967 (2006)
T. Tanamoto: Phys. Rev. A 61, 022305 (2000)
D. S. Saraga, D. Loss: Phys. Rev. Lett. 90, 166803 (2003)
G. Zaránd, A. Brataas, D. Goldhaber-Gordon: Solid State Commun. 126, 463 (2003)
T. Jamneala et al: Phys. Rev. Lett. 87, 256804 (2001)
B. Lazarovits, P. Simon, G. Zaránd et al: Phys. Rev. Lett. 95, 077202 (2005)
K. Ingersent, A. W. Ludwig, J. Affleck: Phys. Rev. Lett. 95, 257204 (2005)
T. Kuzmenko, K. Kikoin, Y. Avishai: Phys. Rev. Lett. 96, 046601 (2006)
T. Kuzmenko, K. Kikoin, Y. Avishai: Physica E 29, 334 (2005)
C. A. Stafford, S. Das Sarma: Phys. Rev. Lett. 72, 3590 (1994)
C. Klimek, G. Chen, S. Datta: Phys. Rev. B 50, 2316 (1994)
Y. Meir, N. S. Wingreen: Phys. Rev. Lett. 68, 2512 (1992)
J. M. Golden, B. I. Halperin: Phys. Rev. B 53, 3893 (1996)
D. C. Langreth, Phys. Rev. 150, 516 (1966)
J. Hubbard, Proc. Roy. Soc. A 285, 542 (1965)
M. J. Englefield: Group Theory and the Coulomb Problem (Wiley, New York 1972)
I. A. Malkin, V. I. Man’ko: Dynamical Symmetries and Coherent States of Quantum Systems (Fizmatgiz, Moscow 1979) [in Russian]
K. Kikoin, Y. Avishai, M. N. Kiselev: In: Nanophysics, Nanoclusters, Nanodevices (Nova Science, New York 2006)
M. N. Kiselev: Int. J. of Mod. Phys. B 20, 381 (2006)
T. Ivanov: Europhys. Lett. 40, 183 (1997)
T. Pohjola, J. König, M. M. Salomaa et al: Europhys. Lett. 40, 189 (1997)
T. Aono, M. Eto, K. Kawamura: J. Phys. Soc. Jpn. 67, 1860 (1998)
A. Georges, Y. Meir: Phys. Rev. Lett. 82, 3508 (2002)
V. N. Golovach, D. Loss: Europhys. Lett. 62, 83 (2003)
L. Borda, G. Zarand, W. Hofstetter et al: Phys. Rev. Lett. 90, 026602 (2003)
Y. Tanaka, N. Kawakami: J. Phys. Soc. Jpn. 73, 2795 (2004); Phys. Rev. B 72, 085304 (2005)
R. Sakano, N. Kawakami: Phys. Rev. B 73, 155332 (2005)
M. Eto: J. Phys. Soc. Jpn. 74, 95 (2005)
B. A. Jones, C. Varma: Phys. Rev. B 40, 324 (1989)
W. Hofstetter, H. Schoeller: Phys. Rev. Lett. 88, 016803 (2002)
M. Pustilnik, L. I. Glazman: Phys. Rev. Lett. 85, 2993 (2000); Phys. Rev. B 64, 045328 (2001)
T. Kuzmenko, K. Kikoin, Y. Avishai: Phys. Rev. Lett. 89, 156602 (2002); Phys. Rev. B 69, 195109 (2004)
W. Izumida, O. Sakai, Y. Shimizu: J. Phys. Soc. Jpn. 67, 2444 (1998)
M. Pustilnik, L. I. Glazman, W. Hofstetter: Phys. Rev. B 68, 161303 (2003)
W. Hofstetter, G. Zarand: Phys. Rev. B 69, 235301 (2004)
M. Pustilnik, L. I. Glazman: J. Phys.: Cond. Mat. 16, R513 (2004)
P. W. Anderson: J. Phys. C 3, 2436 (1980)
W. G. van der Wiel, S. de Francheschi, T. Fujisawa et al: Science 289, 2105 (2000)
A. F. Barabanov, K. A. Kikoin, L. A. Maksimov: Teor. Mat. Fiz. 20, 364 (1974)
F. D. M. Haldane: Phys. Rev. Lett. 40, 416 (1978)
A. Kogan, G. Granger, M. A. Kastner et al: Phys. Rev. B 67, 113309 (2003)
K. Kang, S. Y. Cho, J-J. Kim et al: Phys. Rev. B 63, 113304 (2001)
T-S. Kim, S. Hershfield: Phys. Rev. B 63, 245326 (2001)
Y. Takazawa, Y. Imai, N. Kawakami: J. Phys. Soc. Jpn. 71, 2234 (2002)
M. E. Torio, K. Hallberg, A. H. Ceccatto et al: Phys. Rev. B 65, 085302 (2002)
U. Fano: Phys. Rev. 124, 1866 (1961)
A. Shibatani, Y. Toyozawa: J. Phys. Soc. Jpn. 25, 335 (1968)
J. Göres, D. Goldhaber-Gordon, S. Heemeyer et al: Phys. Rev. B 62, 2188 (2000)
M. E. Torio, K. Hallberg, S. Flach et al: Eur. Phys. J. B 37, 399 (2004)
Y. Oreg, D. Goldhaber-Gordon: Phys. Rev. Lett. 90, 136602 (2003)
M. Pustilnik, L. Borda, L. I. Glazman et al: Phys. Rev. B 69, 115316 (2004)
I. Affleck, A. W. W. Ludwig: Phys. Rev. B 48, 7297 (1993)
I. Affleck, A. W. W. Ludwig, H. B. Pang et al: Phys. Rev. B 45, 7918 (1992)
P. Simon, R. Lopez, Y. Oreg: Phys. Rev. Lett. 94, 086602 (2005)
M. G. Vavilov, L. I. Glazman: Phys. Rev. Lett. 94, 086805 (2005)
M. Vojta, R. Bulla, W. Hofstetter: Phys. Rev. B 65, 140405 (2002)
T. Kuzmenko, K. Kikoin, Y. Avishai: Europhys. Lett. 64, 218 (2003)
T. Kuzmenko, K. Kikoin, Y. Avishai: Phys. Rev. B 73, 235310 (2006)
K. Le Hur, P. Recher, E. Dupont et al: Phys. Rev. Lett. 96, 106803 (2006)
N. Yu, M. Fowler: Phys. Rev. B 45, 11795 (1992)
J. D. Lee: Phys. Rev. B 67, 153108 (2003)
A. Fuhrer, T. Ihn, K. Ensslin et al: Phys. Rev. Lett. 93, 176803 (2004)
B. Leturcq, L. Schmid, K. Ensslin et al: Phys. Rev. Lett. 95, 126603 (2005)
V. V. Savkin, A. N. Rubtsov, M. I. Katsnelson et al: Phys. Rev. Lett. 94, 026402 (2005)
T. Kuzmenko, K. Kikoin, Y. Avishai: Physica E 29, 334 (2005)
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Kikoin, K., Avishai, Y. (2007). Kondo Physics in Artificial Molecules. In: Karmakar, S.N., Maiti, S.K., Chowdhury, J. (eds) Physics of Zero- and One-Dimensional Nanoscopic Systems. Springer Series in Solid-State Sciences, vol 156. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72632-6_3
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