Field-induced polarization of Dirac valleys in bismuth

Nature Physics

Volumn 8, Issue 1, 2012, Pages 89-94

  Zhu, Zengwei ^a   Collaudin, Aurélie ^a   Fauqué, Benoǐt ^a   Kang, Woun ^b   Behnia, Kamran ^a  

^a PSL RESEARCH UNIVERSITY   (France)

^b Ewha Womans University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84255190532     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys2111     Document Type: Article

References (29)

1. Rycerz, A., Tworzydlo, J. & Beenakker, C. W. J. Valley filter and valley valve in graphene. Nature Phys. 3, 172-175 (2007).
2. Xiao, D., Yao, W. & Niu, Q. Valley-contrasting physics in graphene: Magnetic moment and topological transport. Phys. Rev. Lett. 99, 236809 (2007).
3. Min, H., Borghi, G., Polini, M. & MacDonald, A. H. Pseudospin magnetism in graphene. Phys. Rev. B 77, 041407 (2008).
4. Gunlycke, D. & White, C. T. Graphene valley filter using a line defect. Phys. Rev. Lett. 106, 136806 (2011).
5. Shayegan, M., De Poortere, E. P., Gunawan, O., Shkolnikov, Y. P., Tutuc, E. & Vakili, K. Two-dimensional electrons occupying multiple valleys in AlAs. Phys. Status Solidi B 243, 3629-3642 (2006). (Pubitemid 44826531)
6. Bishop, N. C., Padmanabhan, M., Vakili, K., Shkolnikov, Y. P., De Poortere, E. P. & Shayegan, M. Valley polarization and susceptibility of composite fermions around a filling factor ν D3=2. Phys. Rev. Lett. 98, 266404 (2007).
7. Eng, K., McFarland, R. N. & Kane, B. E. Integer quantum Hall effect on a six-valley hydrogen-passivated silicon (111) surface. Phys. Rev. Lett. 99, 016801 (2007).
8. Takashina, K, Ono, Y., Fujiwara, A., Takahashi, Y. & Hirayama, Y. Valley polarization in Si(100) at zero magnetic field. Phys. Rev. Lett. 96, 236801 (2006).
9. Abanin, D. A., Parameswaran, S. A., Kivelson, S. A. & Sondhi, S. L. Nematic valley ordering in quantum Hall systems. Phys. Rev. B 82, 035428 (2010).
10. Edelman, V. S. Electrons in bismuth. Adv. Phys. 25, 555-613 (1976).
11. Liu, Y. & Allen, R. E. Electronic structure of the semimetals Bi and Sb. Phys. Rev. B 52, 1566-1577 (1995).
12. Wolff, P. A. Matrix elements and selection rules for the two-band model of bismuth. J. Phys. Chem. Solids 25, 1057-1068 (1964).
13. McClure, J. W. The energy band model for bismuth: Resolution of a theoretical discrepancy. J. Low Temp. Phys. 25, 527-540 (1976).
14. Vecchi, M. P., Pereira, J. R. & Dresselhaus, M. S. Anomalies in the magnetoreflection spectrum of bismuth in the low-quantum-number limit. Phys. Rev. B 14, 298317 (1976).
15. Zhu, Z., Fauqué, B., Fuseya, Y. & Behnia, K. Angle-resolved Landau spectrum of electrons and holes in bismuth. Phys. Rev. B 84, 115137 (2011).
16. Behnia, K., Balicas, L. & Kopelevich, Y. Signatures of electron fractionalization in ultraquantum bismuth. Science 317, 1729-1731 (2007). (Pubitemid 47461833)
17. Li, L. et al. Phase transitions of Dirac electrons in bismuth. Science 321, 547-550 (2008).
18. Yang, H., Fauqué, B., Malone, L., Antunes, A. B., Zhu, Z. & Behnia, K. Phase diagram of bismuth in the extreme quantum limit. Nature Commun. 1, 47 (2010).
19. Alicea, J. & Balents, L. Bismuth in strong magnetic fields: Unconventional Zeeman coupling and correlation effects. Phys. Rev. B 79, 241101 (2009).
20. Sharlai Yu, V. & Mikitik, G. P. Origin of the peaks in the Nernst coefficient of bismuth in strong magnetic fields. Phys. Rev. B 79, 081102 (2009).
21. Du, X., Tsai, S-W., Maslov, D. L. & Hebard, A. F. Metal-insulator-like behavior in semimetallic bismuth and graphite. Phys. Rev. Lett. 94, 166601 (2005).
22. Hartman, R. Temperature dependence of the low-field galvanomagnetic coefficients of bismuth. Phys. Rev. 181, 1070-1086 (1969).
23. Mase, S., von Molnar, S. & Lawson, A. W. Galvanometric tensor of bismuth at 20.4 K. Phys. Rev. 127, 1030-1045 (1962).
24. Ziman, J. M. Electrons and phonons (Oxford Univ. Press, 1960).
25. Ast, C. R. & Höchst, H. Fermi surface of Bi(111) measured by photoemission spectroscopy. Phys. Rev. Lett. 87, 177602 (2001).
26. Fradkin, E., Kivelson, S. A., Lawler, M. J., Eisenstein, J. P. & Mackenzie, A. P. Nematic Fermi fluids in condensed matter physics. Annu. Rev. Condens. Matter Phys. 1, 153-178 (2010).
27. Lilly, M. P., Cooper, K. B., Eisenstein, J. P., Pfeiffer, L. N. & West, K. W. Evidence for an anisotropic state of two-dimensional electrons in high Landau levels. Phys. Rev. Lett. 82, 394-397 (1999). (Pubitemid 129583628)
28. 7. Science 315, 214-217 (2007). (Pubitemid 46166362)
29. 2. Science 331, 439-442 (2011).