Majorana excitations, spin and mass currents on the surface of topological superfluid 3He-B

Physical Review B - Condensed Matter and Materials Physics

Volumn 88, Issue 18, 2013, Pages

  Wu, Hao ^a   Sauls, J A ^a  

^a NORTHWESTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84887529498     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.88.184506     Document Type: Article

References (50)

1. A. V. Balatsky, I. Vekhter, and Jian-Xin Zhu, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.78.373 78, 373 (2006).
2. M. M. Salomaa and G. E. Volovik, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.37.9298 37, 9298 (1988).
3. J. A. Sauls and M. Eschrig, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/11/7/075008 11, 075008 (2009).
4. D. Vollhardt and P. Wölfle, The Superfluid Phases of 3 He (Taylor & Francis, New York, 1990).
5. Xiao-Liang Qi, Taylor L. Hughes, S. Raghu, and Shou-Cheng Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.187001 102, 187001 (2009).
6. Xiao-Liang Qi and Shou-Cheng Zhang, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.83.1057 83, 1057 (2011).
7. G. E. Volovik, JETP Lett. JTPLA2 0021-3640 10.1134/S0021364009200089 90, 587 (2009).
8. Shinsei Ryu, Andreas P. Schnyder, Akira Furusaki, and Andreas W. W. Ludwig, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/12/6/065010 12, 065010 (2010).
9. G. E. Volovik, JETP Lett. JTPLA2 0021-3640 10.1134/S0021364009170172 90, 398 (2009).
10. L. J. Buchholtz and G. Zwicknagl, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.23.5788 23, 5788 (1981).
11. L. J. Buchholtz, M. Palumbo, D. Rainer, and J. A. Sauls, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00754525 101, 1079 (1995).
12. M. Covington, M. Aprili, E. Paraoanu, L. H. Greene, F. Xu, J. Zhu, and C. A. Mirkin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.277 79, 277 (1997).
13. M. Fogelström, D. Rainer, and J. A. Sauls, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.281 79, 281 (1997).
14. C. R. Hu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1526 72, 1526 (1994).
15. M. Matsumoto and H. Shiba, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.64.1703 64, 1703 (1995).
16. Y. Aoki, Y. Wada, M. Saitoh, R. Nomura, Y. Okuda, Y. Nagato, M. Yamamoto, S. Higashitani, and K. Nagai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.075301 95, 075301 (2005). (Pubitemid 41506010)
17. H. Choi, J. P. Davis, J. Pollanen, and W. P. Halperin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.125301 96, 125301 (2006).
18. Yasushi Nagato, Mikio Yamamoto, and Katsuhiko Nagai, J. Low Temp. Phys. JLTPAC 0022-2291 10.1023/A:1022368301143 110, 1135 (1998).
19. A. Vorontsov and J. A. Sauls, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.68.064508 68, 064508 (2003).
20. S. Murakawa, Y. Tamura, Y. Wada, M. Wasai, M. Saitoh, Y. Aoki, R. Nomura, Y. Okuda, Y. Nagato, M. Yamamoto, S. Higashitani, and K. Nagai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.155301 103, 155301 (2009).
21. G. E. Volovik, The Universe in a Helium Droplet (Clarendon Press, Clarendon, UK, 2003).
22. Suk Bum Chung and Shou-Cheng Zhang, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.235301 103, 235301 (2009).
23. Takeshi Mizushima, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.86. 094518 86, 094518 (2012).
24. Takeshi Mizushima, Masatoshi Sato, and Kazushige Machida, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.109.165301 109, 165301 (2012).
25. Yasushi Nagato, Seiji Higashitani, and Katsuhiko Nagai, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.78.123603 78, 123603 (2009).
26. D. Hsieh, Y. Xia, L. Wray, D. Qian, A. Pal, J. H. Dil, J. Osterwalder, F. Meier, G. Bihlmayer, C. L. Kane, Y. S. Hor, R. J. Cava, and M. Z. Hasan, Science SCIEAS 0036-8075 10.1126/science.1167733 323, 919 (2009).
27. W. Zhang, J. Kurkijärvi, and E. V. Thuneberg, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.36.1987 36, 1987 (1987).
28. Yasumasa Tsutsumi and Kazushige Machida, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.81.074607 81, 074607 (2012).
29. R. Balian and N. R. Werthamer, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.131.1553 131, 1553 (1963).
30. Y. Lee, T. Haard, W. P. Halperin, and J. A. Sauls, Nature (London) NATUAS 0028-0836 10.1038/22712 400, 431 (1999). (Pubitemid 29361791)
31. G. F. Moores and J. A. Sauls, J. Low Temp. Phys. JLTPAC 0022-2291 10.1007/BF00132087 91, 13 (1993).
32. J. A. Sauls, H. Godfrin, and Y. Bunkov (eds.), in Topological Defects and Non-Equilibrium Symmetry Breaking Phase Transitions - Lecture Notes for the 1999 Les Houches Winter School (Elsevier Science Publishers, Amsterdam, 2000), pp. 239-265.
33. Andreas P. Schnyder, Shinsei Ryu, Akira Furusaki, and Andreas W. W. Ludwig, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.78.195125 78, 195125 (2008).
34. J. W. Serene and D. Rainer, Phys. Rep. PRPLCM 0370-1573 10.1016/0370-1573(83)90051-0 101, 221 (1983).
35. A. F. Andreev, Zh. Eksp. Teor. Fiz. 46, 1823 (1964)
36. A. F. Andreev, [Sov. Phys. JETP 19, 1228 (1964)].
37. G. Eilenberger, Z. Phys. EPJAFV 1434-6001 10.1007/BF01379803 214, 195 (1968).
38. J. Kurkijärvi, D. Rainer, and J. A. Sauls, Can. J. Phys. CJPHAD 0008-4204 10.1139/p87-227 65, 1440 (1987).
39. A. L. Shelankov, Zh. Eksp. Teor. Fiz. 78, 2359 (1980)
40. A. L. Shelankov, [Sov. Phys. JETP 51, 1186 (1980)].
41. J. A. Sauls, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.214509 84, 214509 (2011).
42. G. E. Volovik, JETP Lett. JTPLA2 0021-3640 10.1134/S0021364010040090 91, 201 (2010).
43. D. Rainer, J. A. Sauls, and D. Waxman, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.54.10094 54, 10094 (1996).
44. A. J. Leggett, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.140.A1869 140, A1869 (1965).
45. J. Saunders, D. G. Wildes, J. Parpia, J. D. Reppy, and R. C. Richardson, Physica B+C PHBCDQ 0378-4363 10.1016/0378-4363(81)90700-2 108, 791 (1981).
46. For a description of the quasiclassical formulation of Fermi liquid effects on the properties of superfluid 3 He see Ref..
47. A. J. Leggett, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.47.331 47, 331 (1975).
48. T. Haard, Helium 3 Calculator, http://spindry.phys.northwestern.edu/he3. htm.
49. Y. Tsutsumi, M. Ichioka, and K. Machida, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.094510 83, 094510 (2011).
50. E. Thuneberg, J. Kurkijärvi, and D. Rainer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.29.3913 29, 3913 (1984).