Effects of geometry and impurities on quantum rings in magnetic fields

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 19, 2006, Pages

  Aichinger, M ^a,b   Chin, S A ^c   Krotscheck, E ^a   Rasanen E ^a,d  

^a JOHANNES KEPLER UNIVERSITY LINZ   (Austria)

^b Upper Austrian Research GmbH   (Austria)

^c TEXAS A AND M UNIVERSITY   (United States)

^d FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646446726     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.195310     Document Type: Article

References (37)

1. A. Lorke, R. J. Luyken, A. O. Govorov, J. P. Kotthaus, J. M. Garcia, and P. M. Petroff, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2223 84, 2223 (2000).
2. A. Fuhrer, S. Lüscher, T. Ihn, T. Heinzel, K. Ensslin, W. Wegscheider, and M. Bichler, Nature (London) NATUAS 0028-0836 10.1038/35101552 413, 822 (2001).
3. U. F. Keyser, C. Fühner, S. Borck, R. J. Haug, M. Bichler, G. Abstreiter, and W. Wegscheider, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.196601 90, 196601 (2003).
4. T. Chakraborty and P. Pietiläinen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.8460 50, 8460 (1994).
5. K. Niemelä, P. Pietiläinen, P. Hyvonen, and T. Chakraborty, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i1996-00265-7 36, 533 (1996).
6. P. S. Deo, P. Koskinen, M. Koskinen, and M. Manninen, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00604-2 63, 846 (2003).
7. A. Emperador, F. Pederiva, and E. Lipparini, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.115312 68, 115312 (2003).
8. H.-J. Stockmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, 2000).
9. T. H. Oosterkamp, J. W. Janssen, L. P. Kouwenhoven, D. G. Austing, T. Honda, and S. Tarucha, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82. 2931 82, 2931 (1999).
10. H. Saarikoski and A. Harju, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.246803 94, 246803 (2005).
11. M. Aichinger, S. A. Chin, and E. Krotscheck, Comput. Phys. Commun. CPHCBZ 0010-4655 10.1016/j.cpc.2005.05.006 171, 197 (2005).
12. M. Aichinger and E. Krotscheck, Comput. Mater. Sci. CMMSEM 0927-0256 10.1016/j.commatsci.2004.11.002 34, 188 (2005).
13. M. Valín-Rodríquez, A. Puente, and L. Serra, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.205307 64, 205307 (2001).
14. E. Räsänen, J. Könemann, R. J. Haug, M. J. Puska, and R. M. Nieminen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.115308 70, 115308 (2004).
15. M. Aichinger and E. Räsänen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.165302 71, 165302 (2005).
16. E. Räsänen and M. Aichinger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.045352 72, 045352 (2005).
17. See, e.g., E. Räsänen, M. J. Puska, and R. M. Nieminen, Physica E (Amsterdam) PELNFM 1386-9477 10.1016/j.physe.2003.12.052 22, 490 (2004).
18. The classical case has been studied by M. Robnik and M. V. Berry, J. Phys. A JPHAC5 0305-4470 18, 11361 (1985).
19. A. Emperador, M. Pi, M. Barranco, and E. Lipparini, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.155304 64, 155304 (2001).
20. A. D. Güçlü, J. S. Wang, and H. Guo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.035304 68, 035304 (2003).
21. T. Chakraborty and P. Pietiläinen, The Quantum Hall Effects: Fractional and Integral (Springer, Berlin, 1995).
22. A. Emperador, M. Barranco, E. Lipparini, M. Pi, and L. Serra, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.15301 59, 15301 (1999).
23. A. H. MacDonald, S. R. Eric Yang, and M. D. Johnson, Aust. J. Phys. AUJPAS 0004-9506 10.1103/PhysRevB.46.4026 46, 345 (1993).
24. M. P. Schwarz, D. Grundler, C. Heyn, D. Heitmann, D. Reuter, and A. Wieck, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.245315 68, 245315 (2003).
25. U. Sivan, R. Berkovits, Y. Aloni, O. Prus, A. Auerbach, and G. Ben-Yoseph, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1123 77, 1123 (1996).
26. S. R. Patel, S. M. Cronenwett, D. R. Stewart, A. G. Huibers, C. M. Marcus, C. I. Duruoz, J. S. Harris, K. Campman, and A. C. Gossard, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.4522 80, 4522 (1998).
27. A. Cohen, K. Richter, and R. Berkovits, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.2536 60, 2536 (1999).
28. K. Hirose, F. Zhou, and N. S. Wingreen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.075301 63, 075301 (2001).
29. H. Jiang, D. Ullmo, W. Yang, and H. U. Baranger, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.235326 69, 235326 (2004).
30. Y. Alhassid, Ph. Jacquod, and A. Wobst, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.61.R13357 61, R13357 (2000).
31. C. Attaccalite, S. Moroni, P. Gori-Giorgi, and G. B. Bachelet, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.256601 88, 256601 (2002).
32. M. Suzuki, in Computer Simulation Studies in Condensed Matter Physics, edited by, D. P. Landau,,, K. K. Mon,, and, H.-B. Schüttler, (Springer, Berlin, 1996), Vol. VIII, pp. 1-6.
33. S. A. Chin, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00003-0 226, 344 (1997).
34. D. Pines and P. Nozieres, The Theory of Quantum Liquids (Benjamin, New York, 1966).
35. D. J. Thouless, The Quantum Mechanics of Many-body Systems, 2nd ed. (Academic, New York, 1972).
36. R. P. Feynman, Statistical Mechanics - A Set of Lectures (Benjamin Advanced Book, Reading, MA, 1972).
37. M. Aichinger, Ph.D. thesis, Johannes Kepler Universität, Linz, Austria, 2005.