Non-Abelian geometric phases and conductance of spin holes

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 19, 1998, Pages 12302-12305

  Arovas, Daniel P ^a   Lyanda Geller, Yuli ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042006154     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.12302     Document Type: Article

References (22)

1. M. V. Berry, Proc. R. Soc. London, Ser. A 392, 45 (1984).
2. A. Shapere and F. Wilczek, Geometric Phases in Physics (World Scientific, Singapore, 1989).
3. A. Tomita and R. Y. Chiao, Phys. Rev. Lett. 57, 937 (1986).
4. T. Bitter and D. Dubbers, Phys. Rev. Lett. 59, 251 (1987).
5. D. Sutter, G. C. Chingas, R. A. Harris, and A. Pines, Mol. Phys. 61, 1327 (1987).
6. R. Tycko, Phys. Rev. Lett. 58, 2281 (1987).
7. F. Wilczek and A. Zee, Phys. Rev. Lett. 52, 2111 (1984).
8. A. Zee, Phys. Rev. A 38, 1 (1988).
9. C. A. Mead, Phys. Rev. Lett. 59, 161 (1987).
10. J. E. Avron, L. Sadun, J. Segert, and B. Simon, Phys. Rev. Lett. 61, 1329 (1988).
11. J. Segert, J. Math. Phys. 28, 2102 (1987).
12. J. W. Zwanziger, M. Koenig, and A. Pines, Phys. Rev. A 42, 3107 (1990).
13. G. Dresselhaus, Phys. Rev. 100, 580 (1955).
14. J. M. Luttinger, Phys. Rev. 102, 1030 (1956).
15. B. L. Altshuler, A. G. Aronov, D. E. Khmelnitskii, and A. I. Larkin, Zh. Eksp. Teor. Fiz. 81, 768 (1981) [Sov. Phys. JETP 54, 411 (1981)].
16. Yu. L. Bychkov and E. I. Rashba, J. Phys. C 17, 6093 (1984).
17. A. G. Aronov and Y. B. Lyanda-Geller, Phys. Rev. Lett. 70, 343 (1993).
18. A. F. Morpurgo, J. P. Heida, T. M. Klapwijk, B. J. van Wees, and G. Borghs, Phys. Rev. Lett. 80, 1050 (1998).
19. M. B. Santos, Y. W. Suen, M. Shayegan, Y. P. Li, L. W. Engel, and D. C. Tsui, Phys. Rev. Lett. 68, 1188 (1992).
20. M. Buettiker, Y. Imry, and M. Ya. Azbel, Phys. Rev. A 30, 1982 (1984).
21. In NQR, a path subtending zero net solid angle (the figure eight), was realized in the investigation of effects on nonadiabaticity for nuclei with spin (Formula presented) by S. Appelt, G. Wackerie, and M. Mehring, Phys. Lett. A 204, 210 (1995). As was mentioned in Ref. 11, such a path under adiabatic conditions would allow the observation of non-Abelian phase factor for spin (Formula presented).
22. S. Washburn and R. Webb, Rep. Prog. Phys. 55, 1364 (1992).