Two-channel Kondo physics in odd impurity chains

Physical Review B - Condensed Matter and Materials Physics

Volumn 84, Issue 3, 2011, Pages

  Mitchell, Andrew K ^a,b   Logan, David E ^a   Krishnamurthy, H R ^c  

^a UNIVERSITY OF OXFORD   (United Kingdom)

^b UNIVERSITY OF COLOGNE   (Germany)

^c INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79961233807     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.84.035119     Document Type: Article

References (83)

1. P. Nozières and A. Blandin, J. Phys. (Paris) 10.1051/jphys: 01980004103019300 41, 193 (1980).
2. P. D. Sacramento and P. Schlottmann, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(89)90323-X 142, 245 (1989).
3. N. Andrei and A. Jerez, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74.4507 74, 4507 (1995).
4. N. Andrei and C. Destri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.52.364 52, 364 (1984).
5. A. M. Tsvelick and P. B. Wiegmann, Z. Phys. B ZPCMDN 0722-3277 10.1007/BF01319184 54, 201 (1984).
6. G. Zaránd, T. Costi, A. Jerez, and N. Andrei, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.134416 65, 134416 (2002).
7. D. M. Cragg and P. Lloyd, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/12/16/018 12, 3301 (1979).
8. D. M. Cragg, P. Lloyd, and P. Nozières, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/13/5/011 13, 803 (1980).
9. H.-B. Pang and D. L. Cox, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.44.9454 44, 9454 (1991).
10. I. Affleck, A. W. W. Ludwig, H.-B. Pang, and D. L. Cox, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.45.7918 45, 7918 (1992).
11. I. Affleck and A. W. W. Ludwig, Nucl. Phys. B NUPBBO 0550-3213 10.1016/0550-3213(91)90419-X 360, 641 (1990).
12. A. W. W. Ludwig and I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.3160 67, 3160 (1991).
13. I. Affleck and A. W. W. Ludwig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.48.7297 48, 7297 (1993).
14. D. L. Cox and A. Zawadowski, Adv. Phys. ADPHAH 0001-8732 10.1080/000187398243500 47, 599 (1998).
15. Y. Oreg and D. Goldhaber-Gordon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.136602 90, 136602 (2003).
16. M. Pustilnik, L. Borda, L. I. Glazman, and J. von Delft, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.115316 69, 115316 (2004).
17. A. I. Tóth, L. Borda, J. von Delft, and G. Zaránd, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.155318 76, 155318 (2007).
18. R. M. Potok, I. G. H. Shtrikman, Y. Oreg, and D. Goldhaber-Gordon, Nature (London) NATUAS 0028-0836 10.1038/nature05556 446, 167 (2007). (Pubitemid 46398660)
19. A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, 1993).
20. 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). (Pubitemid 28092469)
21. S. M. Cronenwett, T. H. Oosterkamp, and L. P. Kouwenhoven, Science 0036-8075 10.1126/science.281.5376.540 281, 540 (1998). (Pubitemid 28357364)
22. M. Pustilnik and L. I. Glazman, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/16/16/R01 16, R513 (2004).
23. L. P. Kouwenhoven, C. M. Marcus, P. L. McEuen, S. Tarucha, R. M. Westervelt, and N. S. Wingreen, in Mesoscopic Electron Transport, edited by, L. L. Sohn, L. P. Kouwenhoven, and, G. Schön, (Kluwer, Dordrecht, 1997).
24. G. Zaránd, C.-H. Chung, P. Simon, and M. Vojta, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.166802 97, 166802 (2006). (Pubitemid 44600750)
25. B. A. Jones, C. M. Varma, and J. W. Wilkins, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.61.125 61, 125 (1988).
26. B. A. Jones and C. M. Varma, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.40.324 40, 324 (1989).
27. E. Sela and I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.047201 102, 047201 (2009).
28. E. Sela and I. Affleck, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.087204 103, 087204 (2009).
29. M. Vojta, R. Bulla, and W. Hofstetter, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.65.140405 65, 140405 (R) (2002).
30. M. Garst, S. Kehrein, T. Pruschke, A. Rosch, and M. Vojta, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.69.214413 69, 214413 (2004).
31. M. R. Galpin, D. E. Logan, and H. R. Krishnamurthy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.186406 94, 186406 (2005). (Pubitemid 41493068)
32. A. K. Mitchell, M. R. Galpin, and D. E. Logan, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2006-10219-1 76, 95 (2006). (Pubitemid 44554176)
33. D. Boese, W. Hofstetter, and H. Schoeller, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.66.125315 66, 125315 (2002).
34. P. S. Cornaglia and D. R. Grempel, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.075305 71, 075305 (2005). (Pubitemid 40410833)
35. R. Aitko and J. Bonča, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/19/25/255205 19, 255205 (2007). (Pubitemid 46898146)
36. R. Aitko, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.115316 81, 115316 (2010).
37. A. Oguri and A. C. Hewson, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.74.2554 74, 2554 (2005). (Pubitemid 41337517)
38. T. Kuzmenko, K. Kikoin, and Y. Avishai, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.235310 73, 235310 (2006). (Pubitemid 43848257)
39. R. Aitko, J. Bonča, A. Ramak, and T. Rejec, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.153307 73, 153307 (2006). (Pubitemid 43665278)
40. A. K. Mitchell, T. F. Jarrold, and D. E. Logan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.79.085124 79, 085124 (2009).
41. T. Numata, Y. Nisikawa, A. Oguri, and A. C. Hewson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.155330 80, 155330 (2009).
42. R. Aitko and J. Bonča, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.047203 98, 047203 (2007). (Pubitemid 46155733)
43. R. Aitko and J. Bonča, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.245112 77, 245112 (2008).
44. E. Vernek, C. A. Büsser, G. B. Martins, E. V. Anda, N. Sandler, and S. E. Ulloa, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.035119 80, 035119 (2009).
45. A. K. Mitchell and D. E. Logan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.81.075126 81, 075126 (2010).
46. M. Ferrero, L. D. Leo, P. Lecheminant, and M. Fabrizio, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/19/43/433201 19, 433201 (2007). (Pubitemid 47574745)
47. R. H. Blick, R. J. Haug, J. Weis, D. Pfannkuche, K. v. Klitzing, and K. Eberl, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.53.7899 53, 7899 (1996).
48. W. G. van der Wiel, S. D. Franceschi, T. Fukisawa, J. M. Elzerman, S. Tarucha, and L. P. Kowenhoven, Science SCIEAS 0036-8075 10.1126/science.289. 5487.2105 289, 2105 (2000).
49. H. Jeong, A. M. Chang, and M. R. Melloch, Science SCIEAS 0036-8075 10.1126/science.1063182 293, 2221 (2001). (Pubitemid 32900224)
50. A. Vidan, R. Westervelt, M. Stopa, M. Hanson, and A. Gossard, J. Supercond. Incorp. Novel Magn. JOUSEH 0896-1107 10.1007/s10948-005-3373-8 18, 223 (2005). (Pubitemid 40666281)
51. D. Schröer, A. D. Greentree, L. Gaudreau, K. Eberl, L. C. L. Hollenberg, J. P. Kotthaus, and S. Ludwig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.76.075306 76, 075306 (2007).
52. M. C. Rogge and R. J. Haug, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.193306 77, 193306 (2008).
53. K. Grove-Rasmussen, H. I. Jørgensen, T. Hayashi, P. E. Lindelof, and T. Fujisawa, Nano Lett. NALEFD 1530-6984 10.1021/nl072948y 8, 1055 (2008).
54. N. Roch, S. Florens, V. Bouchiat, W. Wernsdorfer, and F. Balestro, Nature (London) NATUAS 0028-0836 10.1038/nature06930 453, 633 (2008). (Pubitemid 351769299)
55. L. Gaudreau, A. S. Sachrajda, S. Studenikin, A. Kam, F. Delgado, Y. P. Shim, M. Korkusinski, and P. Hawrylak, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.075415 80, 075415 (2009).
56. G. Granger, L. Gaudreau, A. Kam, M. Pioro-Ladrière, S. A. Studenikin, Z. R. Wasilewski, P. Zawadzki, and A. S. Sachrajda, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.82.075304 82, 075304 (2010).
57. K. G. Wilson, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.47.773 47, 773 (1975).
58. H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.21.1003 21, 1003 (1980);
59. H. R. Krishna-murthy, J. W. Wilkins, and K. G. Wilson, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.21.1044 21, 1044 (1980).
60. R. Bulla, T. Costi, and T. Pruschke, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.80.395 80, 395 (2008). (Pubitemid 351533285)
61. R. Peters, T. Pruschke, and F. B. Anders, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.245114 74, 245114 (2006). (Pubitemid 44956508)
62. A. Weichselbaum and J. von Delft, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99.076402 99, 076402 (2007). (Pubitemid 47294608)
63. D. E. Logan, C. J. Wright, and M. R. Galpin, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.80.125117 80, 125117 (2009).
64. J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.119.1153 119, 1153 (1960).
65. J. M. Luttinger and J. C. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1417 118, 1417 (1960).
66. D. C. Langreth, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.150.516 150, 1516 (1966).
67. D. N. Zubarev, Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/ PU1960v003n03ABEH003275 3, 320 (1960).
68. R. Bulla, A. C. Hewson, and T. Pruschke, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/10/37/021 10, 8365 (1998).
69. H. Johannesson, C. J. Bolech, and N. Andrei, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.195107 71, 195107 (2005). (Pubitemid 41748076)
70. S. C. Bradley, R. Bulla, A. C. Hewson, and G.-M. Zhang, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510051181 11, 535 (1999).
71. A. I. Tóth and G. Zaránd, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.165130 78, 165130 (2008).
72. F. B. Anders, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.71.121101 71, 121101 (2005). (Pubitemid 40777609)
73. N. L. Dickens and D. E. Logan, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/13/20/311 13, 4505 (2001). (Pubitemid 32508391)
74. M. R. Galpin, A. B. Gilbert, and D. E. Logan, J. Phys. Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/21/37/375602 21, 375602 (2009).
75. imp (T K SC) = 1 4 ln (2), as such halfway between the characteristic 2CK and FL FP values.
76. J. M. Ziman, Elements of Advanced Quantum Theory (Cambridge University Press, Cambridge, 1995).
77. K. Chen and C. Jayaprakash, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.57.5225 57, 5225 (1998).
78. J. Schrieffer and P. Wolff, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.149.491 149, 491 (1966).
79. Y. Meir and N. S. Wingreen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.2512 68, 2512 (1992).
80. F. B. Anders, D. E. Logan, M. R. Galpin, and G. Finkelstein, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.086809 100, 086809 (2008). (Pubitemid 351393613)
81. J. M. Maldacena and A. W. W. Ludwig, Nucl. Phys. B NUPBBO 0550-3213 10.1016/S0550-3213(97)00596-8 506, 565 (1997).
82. G. Zaránd, L. Borda, J. von Delft, and N. Andrei, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.107204 93, 107204 (2004).
83. L. Borda, L. Fritz, N. Andrei, and G. Zaránd, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.235112 75, 235112 (2007).