Numerical results indicate a half-filling SU(4) Kondo state in carbon nanotubes

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 4, 2007, Pages

  Busser C A ^a,b   Martins, G B ^c  

^a OAK RIDGE NATIONAL LABORATORY   (United States)

^b UNIVERSITY OF TENNESSEE   (United States)

^c OAKLAND UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33846373720     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.045406     Document Type: Article

References (36)

1. P. Jarillo-Herrero, J. Kong, H. S. J. van der Zant, C. Dekker, L. P. Kouwenhoven, and S. DeFranceschi, Nature (London) NATUAS 0028-0836 10.1038/nature03422 434, 484 (2005).
2. U. Wilhelm, J. Schmid, J. Weis, and K. von Klitzing, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/S1386-9477(01)00239-9 14, 385 (2002).
3. A. W. Holleitner, A. Chudnovskiy, D. Pfannkuche, K. Eberl, and R. H. Blick, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.075204 70, 075204 (2004).
4. S. Sasaki, S. Amaha, N. Asakawa, M. Eto, and S. Tarucha, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.017205 93, 017205 (2004).
5. T. Pohjola, H. Schoeller, and G. Schon, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2001-00301-2 54, 241 (2001).
6. L. Borda, G. Zarand, W. Hofstetter, B. I. Halperin, and J. von Delft, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.026602 90, 026602 (2003).
7. G. Zarand, Philos. Mag. PMHABF 1478-6435 86, 2043 (2006).
8. P. G. Silvestrov and Y. Imry, cond-mat/0609355 (unpublished)
9. and K. Le Hur, P. Simon, and D. Loss, cond-mat/0609298 (unpublished).
10. A. Makarovski, J. Liu, and G. Finkelstein, cond-mat/0608573 (unpublished).
11. M. Hiroi, M. Sera, N. Kobayashi, and S. Kunii, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.55.8339 55, 8339 (1997).
12. R. C. Toonen, H. Qin, A. K. Huettel, S. Goswami, D. W. van der Weide, K. Eberl, and R. H. Blick, cond-mat/0512235 (unpublished).
13. R. M. Potok and D. Goldhaber-Gordon, Nature (London) NATUAS 0028-0836 10.1038/434451a 434, 451 (2005).
14. M. S. Choi, R. Lopez, and R. Aguado, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.067204 95, 067204 (2005).
15. J. S. Lim, M. S. Choi, M. Y. Choi, R. Lopez, and R. Aguado, cond-mat/0608110 (unpublished). In this manuscript, renormalization group, numerical renormalization group, slave boson mean field, and noncrossing approximation were employed to analyze the transport properties of CNT QDs.
16. M. R. Galpin, D. E. Logan, and H. R. Krishnamurthy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.186406 94, 186406 (2005), where the properties of a quantum critical point at HF were studied. The fact that the model for a double-orbital QD coupled to double channel leads displays a Kondo effect with entanglement of spin and charge degrees of freedom not only at QF, but also at HF, has been mostly overlooked in the analysis of experimental results.
17. M. R. Galpin, D. E. Logan, and H. R. Krishnamurthy, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/18/29/001 18, 6545 (2006);
18. M. R. Galpin, D. E. Logan, and H. R. Krishnamurthy, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/18/29/002 18, 6571 (2006).
19. V. Ferrari, G. Chiappe, E. V. Anda, and M. A. Davidovich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.5088 82, 5088 (1999).
20. S. Sasaki, S. De Franceschi, J. M. Elzerman, W. G. van der Wiel, M. Eto, S. Tarucha, and L. P. Kouwenhoven, Nature (London) NATUAS 0028-0836 10.1038/35015509 405, 764 (2000).
21. P. Jarillo-Herrero, J. Kong, H. S. J. van der Zant, C. Dekker, L. P. Kouwenhoven, and S. DeFranceschi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.156802 94, 156802 (2005).
22. E. D. Minot, Y. Yaish, V. Sazonova, and P. L. McEuen, Nature (London) NATUAS 0028-0836 10.1038/nature02425 428, 536 (2004).
23. Y. Meir, N. S. Wingreen, and P. A. Lee, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.3048 66, 3048 (1991).
24. M. R. Buitelaar, A. Bachtold, T. Nussbaumer, M. Iqbal, and C. Schonenberger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.156801 88, 156801 (2002).
25. A similar effect, taking advantage of the existence of an SU(4) state in double-QDs (where μorb =0.0), is suggested by S. Lipinski and D. Krychowski [Phys. Status Solidi B (to be published)] as a way to perform spin filtering of the transmitted electrons.
26. Single-channel results for multiorbital systems obtained with the ECA method were reported in C. A. Busser, G. B. Martins, K. A. Al-Hassanieh, A. Moreo, and E. Dagotto, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.245303 70, 245303 (2004)
27. for one QD, and in G. B. Martins, C. A. Busser, K. A. Al-Hassanieh, A. Moreo, and E. Dagotto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94. 026804 94, 026804 (2005)
28. for two QDs. The discontinuities seen in G and n for the 2LSU(2) state (dashed and dash-dotted curves) have also been obtained in similar systems by applying a variety of different techniques [see, for example, P. G. Silvestrov and Y. Imry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.035309 65, 035309 (2001);
29. and M. Sindel, A. Silva, Y. Oreg, and J. von Delft, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.125316 72, 125316 (2005)].
30. Notice that the temperature variation obtained for the SU(4) HF effect [A. L. Yeyati, F. Flores, and A. Martin-Rodero, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.600 83, 600 (1999)]
31. describes the data for the third shell better than the singlet-triplet effect [W. Izumida, O. Sakai, and S. Tarucha, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.216803 87, 216803 (2001)].
32. D. Goldhaber-Gordon, H. Shtrikman, D. Mahalu, D. Abusch-Magder, U. Meirav, and M. A. Kastner, Nature (London) NATUAS 0028-0836 10.1038/34373 391, 156 (1998).
33. G. Bergmann, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67. 2545 67, 2545 (1991).
34. M. A. Blachly and N. Giordano, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.12537 51, 12537 (1995).
35. W. B. Thimm, J. Kroha, and J. von Delft, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.2143 82, 2143 (1999).
36. I. Affleck and P. Simon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2854 86, 2854 (2001).