1Laboratoire
de Physique Théorique de l'Ecole Normale Supérieure, 24
rue Lhomond, 75231 Paris Cedex 05, France
2Department
of Physics, Ben-Gurion University, Beer Sheva 84105, Israel
(Received 23 November 1998)
The conductance through two quantum dots in series is studied using general
qualitative arguments and quantitative slave-boson mean-field theory.
It is demonstrated that measurements of the conductance can explore the
phase diagram of the two-impurity Anderson model. Competition between
the Kondo effect and the interdot magnetic exchange leads to a
two-plateau structure in the conductance as a function to the gate voltage
and a two or three peak structure in the conductance versus interdot
tunneling.
PACS: 73.40.Gk, 72.15.Qm, 73.23.Hk
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References
Online reference links ([online])
are linked to abstracts with enhanced features and may require a
separate subscription. [SPIN]
records are available with your current login. For more details, see Reference
Information.
-
D. Goldhaber-Gordon et al., Nature (London) 391, 156
(1998); [INSPEC]
D. Goldhaber-Gordon et al., Phys. Rev. Lett. 81,
5225 (1998). [online] [SPIN]
-
S. M. Cronenwett et al., Science 281, 540 (1998).
[INSPEC]
-
For reviews on transport through quantum dots see, e.g., M. A. Kastner,
Comments Condens. Matter Phys. 17, 349 (1996); [INSPEC]
R. Ashoori, Nature (London) 379, 413 (1996). [INSPEC]
-
L. I. Glazman and M. E. Raikh, Pis'ma Zh. Eksp. Teor. Fiz. 47,
378 (1998) [INSPEC]
[JETP Lett. 47, 452 (1988)]; [SPIN]
T. K. Ng and P. A. Lee, Phys. Rev. Lett. 61, 1768 (1988).
[online] [SPIN]
-
S. Hershfield, J. H. Davies, and J. W. Wilkins, Phys. Rev. Lett. 67,
3720 (1991); [online] [SPIN]
Y. Meir, N. S. Wingreen, and P. A. Lee, Phys. Rev. Lett. 70,
2601 (1993); [online] [SPIN]
N. S. Wingreen and Y. Meir, Phys. Rev. B 49, 11 040 (1994).
[online] [SPIN]
-
B. A. Jones, C. M. Varma, and J. W. Wilkins, Phys. Rev. Lett. 61,
125 (1988); [online] [SPIN]
B. A. Jones and C. M. Varma, Phys. Rev. B 40, 324 (1989);
[online] [SPIN]
B. A. Jones, Physica (Amsterdam) 171B, 53 (1991).
-
B. A. Jones, G. Kotliar, and A. J. Millis, Phys. Rev. B 39,
3415 (1989); [online] [SPIN]
A. J. Millis, G. Kotliar, and B. A. Jones, in Field Theoretic Methods
in Condensed Matter Physics, edited by Z. Tesanovic (Addison-Wesley,
Reading, MA, 1990), p. 159.
-
O. Sakai and Y. Shimizu, J. Phys. Soc. Jpn. 61, 2333 (1992);
61, 2348 (1992).
-
I. Affleck and A. W. W. Ludwig, Phys. Rev. Lett. 68, 1046
(1992); [online] [SPIN]
I. Affleck, A. W. W. Ludwig, and B. A. Jones, Phys. Rev. B 52,
9528 (1995). [online] [SPIN]
-
U. Sivan et al., Europhys. Lett. 25, 605 (1994);
[INSPEC]
F. R. Waugh et al., Phys. Rev. Lett. 75, 705 (1995);
[online] [SPIN]
Phys. Rev. B 53, 1413 (1996); [online] [SPIN]
N. C. Van der Waart et al., Phys. Rev. Lett. 74,
4702 (1995); [INSPEC]
F. Hofmann et al., Phys. Rev. B 51, 13 872 (1995);
[online] [SPIN]
R. H. Blick et al., Phys. Rev. B 53, 7899 (1996).
[online] [SPIN]
-
For recent experimental studies of a double-dot system, see, e.g., T.
H. Oosterkam et al., Phys. Rev. Lett. 80, 4951 (1998);
[online] [SPIN]
R. H. Blick et al., Phys. Rev. Lett. 81, 689 (1998).
[online] [SPIN]
-
C. A. Stafford and N. S. Wingreen, Phys. Rev. Lett. 76, 1916
(1996). [online] [SPIN]
-
G. M. Bryant, Phys. Rev. B 44, 3064 (1991); [online] [SPIN]
48, 8024 (1993); [online] [SPIN]
L. I. Glazman and V. Chandrasekhar, Europhys. Lett. 19, 623
(1992); [INSPEC]
I. M. Ruzin et al., Phys. Rev. B 45, 13 469 (1992);
[online] [SPIN]
G. Klimeck, G. Chen, and S. Datta, Phys. Rev. B 50, 2316
(1994); [online] [SPIN]
G. Chen et al., Phys. Rev. B 50, 8035 (1994); [online] [SPIN]
J. J. Palacios and P. Hawrylak, Phys. Rev. B 51, 1769
(1995); [online] [SPIN]
J. M. Golden and B. I. Halperin, Phys. Rev. B 53, 3893
(1996); [online] [SPIN]
54, 16 757 (1996); [online] [SPIN]
56, 4716 (1997); [online] [SPIN]
K. A. Matveev, L. I. Glazman, and H. U. Baranger, Phys. Rev. B 53,
1034 (1996); [online] [SPIN]
54, 5637 (1996); [online] [SPIN]
P. Pals and A. Mackinon, J. Phys. Condens. Matter 8, 3177
(1996); [INSPEC]
8, 5401 (1996); [INSPEC]
R. Kotlyar and S. Das Sarma, Phys. Rev. B 56, 13 235 (1997);
[online] [SPIN]
C. A. Stafford, R. Kotlyar, and S. Das Sarma, Phys. Rev. B 58,
7091 (1998); [online] [SPIN]
Y. Asano, Phys. Rev. B 58, 1414 (1998). [online] [SPIN]
-
However, for J > 8[radical Delta epsilon [sup
2]+t[sup 2]]/3 there will be a direct jump from N = 0 to N
= 2. Since in practice J stems from superexchange between
the dots, J ~ t2/U, the latter
case may not be experimentally relevant, as it requires t ~ U.
-
T. Ivanov, Europhys. Lett. 40, 183 (1997); [online] [INSPEC]
T. Pohjola et al., ibid. 40, 189 (1997).
[online] [INSPEC]
-
T. Aono, M. Eto, and K. Kawamura, J. Phys. Soc. Jpn. 67,
1860 (1998).
-
N. Andrei, G. T. Zimanyi, and G. Schön, cond-mat/9711098.
[LANL]
-
K. Matveev, Sov. Phys. JETP 72, 892 (1991). [SPIN]
-
Y. Meir and N. Wingreen, Phys. Rev. Lett. 68, 2512 (1992).
[online] [SPIN]
-
W. Izumida, O. Sakai, and Y. Shimizu, cond-mat/9805067. [LANL]