Interlayer transverse magnetoresistance in the presence of an anisotropic pseudogap

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 21, 2009, Pages

  Smith, M F ^a   McKenzie, Ross H ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954754892     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.214528     Document Type: Article

References (38)

1. N. E. Hussey, M. Abdel-Jawad, A. Carrington, A. P. Mackenzie, and L. Balicas, Nature (London) 425, 814 (2003). 10.1038/nature01981
2. M. Abdel-Jawad, M. P. Kennett, L. Balicas, A. Carrington, A. P. Mackenzie, R. H. McKenzie, and N. E. Hussey, Nat. Phys. 2, 821 (2006). 10.1038/nphys449
3. M. Abdel-Jawad, J. G. Analytis, L. Balicas, A. Carrington, J. P. H. Charmant, M. M. J. French, and N. E. Hussey, Phys. Rev. Lett. 99, 107002 (2007). 10.1103/PhysRevLett.99.107002
4. J. G. Analytis, M. Abdel-Jawad, L. Balicas, M. M. J. French, and N. E. Hussey, Phys. Rev. B 76, 104523 (2007). 10.1103/PhysRevB.76.104523
5. C. Bergemann, A. P. Mackenzie, S. R. Julian, D. Forsythe, and E. Ohmichi, Adv. Phys. 52, 639 (2003). 10.1080/00018730310001621737
6. L. Balicas, S. Nakatsuji, D. Hall, T. Ohnishi, Z. Fisk, Y. Maeno, and D. J. Singh, Phys. Rev. Lett. 95, 196407 (2005). 10.1103/PhysRevLett.95.196407
7. M. V. Kartsovnik, Chem. Rev. 104, 5737 (2004). 10.1021/cr0306891
8. J. Wosnitza, Fermi Surfaces of Low Dimensional Organic Metals and Superconductors (Springer-Verlag, Berlin, 1996).
9. T. Osada, H. Nose, and M. Kuraguchi, Physica B: Condensed Matter 294-295, 402 (2001). 10.1016/S0921-4526(00)00687-6
10. U. Beierlein, C. Schlenker, J. Dumas, and M. Greenblatt, Phys. Rev. B 67, 235110 (2003). 10.1103/PhysRevB.67.235110
11. K. Enomoto, S. Uji, T. Yamaguchi, T. Terashima, T. Konoike, M. Nishimura, T. Enoki, M. Suzuki, and I. S. Suzuki, Phys. Rev. B 73, 045115 (2006). 10.1103/PhysRevB.73.045115
12. K. G. Sandeman and A. J. Schofield, Phys. Rev. B 63, 094510 (2001). 10.1103/PhysRevB.63.094510
13. M. P. Kennett and R. H. McKenzie, Phys. Rev. B 76, 054515 (2007). 10.1103/PhysRevB.76.054515
14. M. P. Kennett and R. H. McKenzie, Physica B: Condensed Matter 403, 1552 (2008). 10.1016/j.physb.2007.10.324
15. B. W. Brinkman and M. P. Kennett, Phys. Rev. B 80, 094505 (2009). 10.1103/PhysRevB.80.094505
16. N. E. Hussey, M. Abdel-Jawad, L. Balicas, M. P. Kennett, and R. H. McKenzie, Physica B 403, 982 (2008).
17. J. Singleton, P. A. Goddard, A. Ardavan, A. I. Coldea, S. J. Blundell, R. D. McDonald, S. Tozer, and J. A. Schlueter, Phys. Rev. Lett. 99, 027004 (2007). 10.1103/PhysRevLett.99.027004
18. M. F. Smith and R. H. McKenzie, Phys. Rev. B 77, 235123 (2008). 10.1103/PhysRevB.77.235123
19. L. Taillefer, Nat. Phys. 2, 809 (2006). 10.1038/nphys478a
20. M. M. J. French, J. G. Analytis, A. Carrington, L. Balicas and N. E. Hussey, arXiv:0905.2504, New J. Phys. (to be published).
21. W. Yu, B. Liang, and R. L. Greene, Phys. Rev. B 74, 212504 (2006). 10.1103/PhysRevB.74.212504
22. M. R. Norman, D. Pines, and C. Kallin, Adv. Phys. 54, 715 (2005) 10.1080/00018730500459906
23. P. A. Lee, N. Nagaosa, and X.-G. Wen, Rev. Mod. Phys. 78, 17 (2006). 10.1103/RevModPhys.78.17
24. S. Hufner, M. A. Hossain, A. Damascelli, and G. A. Sawatzky, Rep. Prog. Phys. 71, 062501 (2008). 10.1088/0034-4885/71/6/062501
25. N. E. Hussey, private communication.
26. M. R. Norman, A. Kanigel, M. Randeria, U. Chatterjee, and J. C. Campuzano, Phys. Rev. B 76, 174501 (2007). 10.1103/PhysRevB.76.174501
27. K.-Y. Yang, T. M. Rice, and F.-C. Zhang, Phys. Rev. B 73, 174501 (2006). 10.1103/PhysRevB.73.174501
28. K.-Y. Yang, H.-B. Yang, P. D. Johnson, T. M. Rice, and F.-C. Zhang, EPL 86, 37002 (2009). 10.1209/0295-5075/86/37002
29. K. Le Hur and T. M. Rice, Ann. Phys. 324, 1452 (2009). 10.1016/j.aop.2009.02.004
30. S. Chakravarty, R. B. Laughlin, D. K. Morr, and C. Nayak, Phys. Rev. B 63, 094503 (2001). 10.1103/PhysRevB.63.094503
31. H. Alloul, J. Bobroff, M. Gabay, and P. J. Hirschfeld, Rev. Mod. Phys. 81, 45 (2009). 10.1103/RevModPhys.81.45
32. We here use a classical force law in which the quasiparticle group velocity v g = d E k / d k couples to B, which also follows from a straightforward replacement k → k - e A in the spectral function appearing in the tunneling current. An alternative coupling [used in Ref., see also Ref.)], is obtained by making the replacement as follows: E k - e A → √ ξ k - e A 2 + Δ k 2 so that the Lorentz force term is e v b × B with v b = (ξ k / E k) d ξ k / d k. As long as the magnitude of the pseudogap is small compared to the Fermi energy, the choice of v g versus v b makes little difference to interlayer current calculation with θ B = π / 2.
33. M. Platé, J. D. F. Mottershead, I. S. Elfimov, D. C. Peets, R. Liang, D. A. Bonn, W. N. Hardy, S. Chiuzbaian, M. Falub, M. Shi, L. Patthey, and A. Damascelli, Phys. Rev. Lett. 95, 077001 (2005) 10.1103/PhysRevLett.95.077001
34. D. C. Peets, J. P. F. Mottershead, B. Wu, I. S. Elfimov, R. Liang, W. N. Hardy, D. A. Bonn, M. Raudsepp, N. J. C. Ingle, and A. Damascelli, New J. Phys. 9, 28 (2007). 10.1088/1367-2630/9/2/028
35. In constructing the plots of Fig., we have not taken into account any potential field dependence of the magnitude of the pseudogap. One can interpret Δ 0 as the value of the pseudogap in the presence of a certain field B, the magnitude of which is parameterized by ω C τ, and in this way allow for some B dependence of Δ 0 within these plots. In Ref., an applied field of 60 T results in a reduction in the pseudogap (defined via T -dependent interlayer resistivity data) in slightly overdoped BSCCO by less than 30% from its zero-field value. On the other hand, fields of 50 T are sufficient, according to Ref., to achieve values of ω C τ 0.5 in clean T 2201 samples. It would thus appear that the field dependence of ω C τ, and not that of Δ 0, would be most important in controlling the behavior of the interlayer resistivity over the parameter ranges considered in Fig.. So, while a field-dependent Δ 0 could be included for quantitative analysis, it is not expected to alter the qualitative picture described above.
36. L. N. Bulaevskii, M. J. Graf, and M. P. Maley, Phys. Rev. Lett. 83, 388 (1999). 10.1103/PhysRevLett.83.388
37. A. G. Aronov, Adv. Phys. 30, 539 (1981). 10.1080/00018738100101407
38. T. Shibauchi, L. Krusin-Elbaum, M. Li, M. P. Maley, and P. H. Kes, Phys. Rev. Lett. 86, 5763 (2001). 10.1103/PhysRevLett.86.5763