Localization in an inhomogeneous quantum wire

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 20, 2009, Pages

  Guclu A D ^a   Umrigar, C J ^b   Jiang, Hong ^c   Baranger, Harold U ^a  

^a DUKE UNIVERSITY   (United States)

^b Laboratory of Atomic and Solid State Physics and Sibley School of Mechanical and Aerospace Engineering   (United States)

^c FRITZ HABER INSTITUT DER MAX PLANCK GESELLSCHAFT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77449088530     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.201302     Document Type: Article

References (40)

1. For an overview, see the special issue of J. Phys.: Condens. Matter 20, 16 (2008).
2. K. J. Thomas, Phys. Rev. Lett. 77, 135 (1996). 10.1103/PhysRevLett.77.135
3. A. Kristensen, Phys. Rev. B 62, 10950 (2000). 10.1103/PhysRevB.62.10950 (Pubitemid 32372348)
4. S. M. Cronenwett, Phys. Rev. Lett. 88, 226805 (2002). 10.1103/PhysRevLett.88.226805
5. D. J. Reilly, Phys. Rev. Lett. 89, 246801 (2002). 10.1103/PhysRevLett.89. 246801
6. A. C. Graham, Phys. Rev. Lett. 91, 136404 (2003). 10.1103/PhysRevLett.91. 136404
7. L. P. Rokhinson, L. N. Pfeiffer, and K. W. West, Phys. Rev. Lett. 96, 156602 (2006). 10.1103/PhysRevLett.96.156602 (Pubitemid 43671423)
8. R. de Picciotto, L. N. Pfeiffer, K. W. Baldwin, and K. W. West, Phys. Rev. B 72, 033319 (2005). 10.1103/PhysRevB.72.033319 (Pubitemid 41509277)
9. Y. Meir, K. Hirose, and N. S. Wingreen, Phys. Rev. Lett. 89, 196802 (2002). 10.1103/PhysRevLett.89.196802
10. T. Rejec and Y. Meir, Nature (London) 442, 900 (2006). 10.1038/nature05054 (Pubitemid 44285942)
11. D. J. Reilly, Phys. Rev. B 72, 033309 (2005). 10.1103/PhysRevB.72.033309 (Pubitemid 41506649)
12. C.-K. Wang and K.-F. Berggren, Phys. Rev. B 54, R14257 (1996) 10.1103/PhysRevB.54.R14257
13. P. Jaksch, I. Yakimenko, and K. F. Berggren, Phys. Rev. B 74, 235320 (2006). 10.1103/PhysRevB.74.235320 (Pubitemid 44958090)
14. K. A. Matveev, Phys. Rev. B 70, 245319 (2004). 10.1103/PhysRevB.70.245319 (Pubitemid 40362471)
15. K. A. Matveev, Phys. Rev. Lett. 92, 106801 (2004). 10.1103/PhysRevLett. 92.106801
16. H. Steinberg, Phys. Rev. B 73, 113307 (2006). 10.1103/PhysRevB.73.113307 (Pubitemid 43375694)
17. O. M. Auslaender, Science 295, 825 (2002). 10.1126/science.1066266 (Pubitemid 34118357)
18. O. M. Auslaender, Science 308, 88 (2005). 10.1126/science.1107821 (Pubitemid 40471003)
19. G. A. Fiete, J. Qian, Y. Tserkovnyak, and B. I. Halperin, Phys. Rev. B 72, 045315 (2005). 10.1103/PhysRevB.72.045315 (Pubitemid 41526605)
20. S. V. Kravchenko and M. P. Sarachik, Rep. Prog. Phys. 67, 1 (2004). 10.1088/0034-4885/67/1/R01 (Pubitemid 38185118)
21. R. Jamei, S. Kivelson, and B. Spivak, Phys. Rev. Lett. 94, 056805 (2005). 10.1103/PhysRevLett.94.056805 (Pubitemid 40620877)
22. S. M. Reimann and M. Manninen, Rev. Mod. Phys. 74, 1283 (2002), and references therein. 10.1103/RevModPhys.74.1283 (Pubitemid 36121907)
23. A. Ghosal, A. D. Güçlü, C. J. Umrigar, D. Ullmo, and H. U. Baranger, Nat. Phys. 2, 336 (2006) 10.1038/nphys293
24. A. Ghosal, A. D. Güçlü, C. J. Umrigar, D. Ullmo, and H. U. Baranger, Phys. Rev. B 76, 085341 (2007). 10.1103/PhysRevB.76.085341
25. A. D. Güçlü, A. Ghosal, C. J. Umrigar, and H. U. Baranger, Phys. Rev. B 77, 041301 (R) (2008). 10.1103/PhysRevB.77.041301
26. M. Casula, S. Sorella, and G. Senatore, Phys. Rev. B 74, 245427 (2006). 10.1103/PhysRevB.74.245427
27. L. Shulenburger, M. Casula, G. Senatore, and R. M. Martin, Phys. Rev. B 78, 165303 (2008), and references therein. 10.1103/PhysRevB.78.165303
28. V. V. Deshpande and M. Bockrath, Nat. Phys. 4, 314 (2008). 10.1038/nphys895
29. P. Havu, M. J. Puska, R. M. Nieminen, and V. Havu, Phys. Rev. B 70, 233308 (2004). 10.1103/PhysRevB.70.233308 (Pubitemid 40270701)
30. O. P. Sushkov, Phys. Rev. B 67, 195318 (2003). 10.1103/PhysRevB.67.195318
31. E. J. Mueller, Phys. Rev. B 72, 075322 (2005). 10.1103/PhysRevB.72.075322 (Pubitemid 43406174)
32. S. Ihnatsenka and I. V. Zozoulenko, Phys. Rev. B 76, 045338 (2007). 10.1103/PhysRevB.76.045338
33. J. Qian and B. I. Halperin, Phys. Rev. B 77, 085314 (2008). 10.1103/PhysRevB.77.085314
34. However, inhomogeneous lattice models have been studied: for instance, a finite Hubbard chain connected to noninteracting leads shows "Coulomb blockade without barriers" which may be related to the emergence of the gap here. See G. Vasseur, D. Weinmann, and R. A. Jalabert, Eur. Phys. J. B 51, 267 (2006). 10.1140/epjb/e2006-00210-2 (Pubitemid 43876896)
35. C. J. Umrigar and C. Filippi, Phys. Rev. Lett. 94, 150201 (2005). 10.1103/PhysRevLett.94.150201 (Pubitemid 40629839)
36. C. J. Umrigar, J. Toulouse, C. Filippi, S. Sorella, and R. G. Hennig, Phys. Rev. Lett. 98, 110201 (2007). 10.1103/PhysRevLett.98.110201 (Pubitemid 46434400)
37. A. D. Güçlü, G. S. Jeon, C. J. Umrigar, and J. K. Jain, Phys. Rev. B 72, 205327 (2005). 10.1103/PhysRevB.72.205327 (Pubitemid 43029418)
38. W. M. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, Rev. Mod. Phys. 73, 33 (2001). 10.1103/RevModPhys.73.33
39. Parameters used in the single-particle model calculation (atomic units): cylindrically symmetric charge density of radius 1.5, wire length of 150, square barrier height of 1.8, and 30 doubly occupied orbitals (quantum case).
40. E. Lieb and D. Mattis, Phys. Rev. 125, 164 (1962). 10.1103/PhysRev.125. 164