Noise predictions for STM in systems with local electron nematic order

Physical Review B - Condensed Matter and Materials Physics

Volumn 81, Issue 22, 2010, Pages

  Loh, Y L ^a,b   Carlson, E W ^b   Dahmen, K A ^c  

^a OHIO STATE UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

^c University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77956331141     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.81.224207     Document Type: Article

References (28)

1. E. W. Carlson, K. A. Dahmen, E. Fradkin, and S. A. Kivelson, Phys. Rev. Lett. 96, 097003 (2006). 10.1103/PhysRevLett.96.097003
2. J. M. Tranquada, arXiv:cond-mat/0512115 (unpublished).
3. Y. Kohsaka, C. Taylor, K. Fujita, A. Schmidt, C. Lupien, T. Hanaguri, M. Azuma, M. Takano, H. Eisaki, H. Tagaki, S. Uchida, and J. C. Davis, Science 315, 1380 (2007). 10.1126/science.1138584
4. S. A. Kivelson, I. P. Bindloss, E. Fradkin, V. Oganesyan, J. M. Tranquada, A. Kapitulnik, and C. Howald, Rev. Mod. Phys. 75, 1201 (2003). 10.1103/RevModPhys.75.1201
5. J. A. Bonetti, D. S. Caplan, D. J. Van Harlingen, and M. B. Weissman, Phys. Rev. Lett. 93, 087002 (2004). 10.1103/PhysRevLett.93.087002
6. I. Raičević, J. Jaroszyński, D. Popović, C. Panagopoulos, and T. Sasagawa, Phys. Rev. Lett. 101, 177004 (2008). 10.1103/PhysRevLett.101.177004
7. L. Fruchter, H. Raffy, and Z. Z. Li, Phys. Rev. B 76, 212503 (2007). 10.1103/PhysRevB.76.212503
8. A. Del Maestro, B. Rosenow, and S. Sachdev, Phys. Rev. B 74, 024520 (2006). 10.1103/PhysRevB.74.024520
9. J. A. Robertson, S. A. Kivelson, E. Fradkin, A. C. Fang, and A. Kapitulnik, Phys. Rev. B 74, 134507 (2006). 10.1103/PhysRevB.74.134507
10. Other examples of an external perturbation which breaks the rotational symmetry of the lattice and would therefore tend to align stripes include strain, high currents (Ref.) and uniaxial pressure.
11. S. Kartha, T. Castán, J. A. Krumhansl, and J. P. Sethna, Phys. Rev. Lett. 67, 3630 (1991). 10.1103/PhysRevLett.67.3630
12. A. J. Bray and M. A. Moore, J. Phys. C 18, L927 (1985). 10.1088/0022-3719/18/28/006
13. In some magnetic systems Kawasaki dynamics may be more appropriate, as they conserve local magnetization. However, in our problem there is no reason for nematicity to be locally conserved, so Glauber dynamics are appropriate. Furthermore, because the switching of the local nematic orientation (a single Ising variable in our coarse-grained model) involves many electrons, we do not expect this to be a coherent quantum process. Therefore, we treat the dynamics classically, rather than using a Caldeira-Leggett model.
14. Recall that at 100 K, telegraph noise in the YBCO nanowire has a timescale of 10-50 s. By 4.2 K, thermal fluctuations in stripe orientation should be frozen out in that material. Likewise, fluctuations in stripe orientation should be similarly frozen out in BSCCO and NCCOC at 4.2 K.
15. M. B. Weissman, Rev. Mod. Phys. 60, 537 (1988). 10.1103/RevModPhys.60.537
16. S. Machlup, J. Appl. Phys. 25, 341 (1954). 10.1063/1.1721637
17. Second spectra, another frequency-domain criterion, may also be used (Ref.).
18. D. R. Kent IV, R. P. Muller, A. G. Anderson, W. A. Goddard III, and M. T. Feldmann, J. Comput. Chem. 28, 2309 (2007). 10.1002/jcc.20746
19. Note that we have not focused on critical behavior or on scaling behavior (Refs.). Comparing those type of predictions to STM requires that the measurements be averaged over a large field of view. One advantage of our proposal is the focus on local physics, without the need for spatial averages.
20. C. Howald, H. Eisaki, N. Kaneko, and A. Kapitulnik, Proc. Natl. Acad. Sci. U.S.A. 100, 9705 (2003). 10.1073/pnas.1233768100
21. A. Fang, C. Howald, N. Kaneko, M. Greven, and A. Kapitulnik, Phys. Rev. B 70, 214514 (2004). 10.1103/PhysRevB.70.214514
22. T. Hanaguri, Y. Kohsaka, J. C. Davis, C. Lupien, I. Yamada, M. Azuma, M. Takano, K. Ohishi, M. Ono, and H. Takagi, Nat. Phys. 3, 865 (2007). 10.1038/nphys753
23. J. E. Hoffman, K. McElroy, D.-H. Lee, K. M. Lang, H. Eisaki, S. Uchida, and J. C. Davis, Science 297, 1148 (2002). 10.1126/science.1072640
24. D. Van Harlingen (private communication).
25. C. Reichhardt, C. J. Olson Reichhardt, and A. R. Bishop, EPL 72, 444 (2005). 10.1209/epl/i2005-10250-8
26. D. S. Fisher, Phys. Rev. Lett. 56, 416 (1986). 10.1103/PhysRevLett.56.416
27. M. J. Lawler, K. Fujita, J. Lee, A. R. Schmidt, Y. Kohsaka, C. K. Kim, H. Eisaki, S. Uchida, J. C. Davis, J. P. Sethna, and E.-A. Kim, Nature (London) (to be published).
28. O. Zachar and I. Zaliznyak, Phys. Rev. Lett. 91, 036401 (2003). 10.1103/PhysRevLett.91.036401