Skip to main content

The Quantum Hall Nematic Phase

  • Chapter
  • First Online:

Part of the book series: Springer Theses ((Springer Theses))

Abstract

In addition to the quantum Hall states, the two-dimensional electron system may also host various electron liquid crystalline phases, such as the electron nematic phase, often referred to as the stripe phase. In contrast to the quantum Hall states which are topological phases, these phases are traditional Landau phases with charge order. The nematic phase breaks rotational symmetry, and is characterized by highly anisotropic longitudinal resistance. The nematic phase is the ground state at half-filling in the third and higher Landau levels, at ν = 9∕2, 11∕2, 13∕2, and so on, presenting an example of a departure from conventional physics of the half-filled Landau level.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. W. Pan, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Phys. Rev. Lett. 88, 176802 (2002)

    Article  ADS  Google Scholar 

  2. W. Pan, G.A. Csáthy, D.C. Tsui, L.N. Pfeiffer, K.W. West, Phys. Rev. B 71, 035302 (2005)

    Article  ADS  Google Scholar 

  3. J.S. Xia, W. Pan, C.L. Vicente, E.D. Adams, N.S. Sullivan, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Phys. Rev. Lett. 93, 176809 (2004)

    Article  ADS  Google Scholar 

  4. K.B. Cooper, M.P. Lilly, J.P. Eisenstein, L.N. Pfeiffer, K.W. West, Phys. Rev. B 60, 11285 (1999)

    Article  ADS  Google Scholar 

  5. J.P. Eisenstein, K.B. Cooper, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 88, 076801 (2002)

    Article  ADS  Google Scholar 

  6. M.P. Lilly, K.B. Cooper, J.P. Eisenstein, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 82, 394 (1999)

    Article  ADS  Google Scholar 

  7. R.R. Du, D.C. Tsui, H.L. Stormer, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Solid State Commun. 109, 389 (1999)

    Article  ADS  Google Scholar 

  8. A.A. Koulakov, M.M. Fogler, B.I. Shklovskii, Phys. Rev. Lett. 76, 499 (1996)

    Article  ADS  Google Scholar 

  9. R. Moessner, J.T. Chalker, Phys. Rev. B. 54, 5006 (1996)

    Article  ADS  Google Scholar 

  10. E. Fradkin, S.A. Kivelson, Phys. Rev. B. 59, 8065 (1999)

    Article  ADS  Google Scholar 

  11. I.-C. Khoo, Liquid Crystals (Wiley, Hoboken, 2007)

    Book  Google Scholar 

  12. S. Chandrasekhar, Phys. Today 46, 122 (1993)

    Article  Google Scholar 

  13. J.G. Bednorz, K.A. Muller, Z. Phys. B 64, 189 (1986)

    Google Scholar 

  14. B. Keimer, S.A. Kivelson, M.R. Norman, S. Uchida, J. Zaanen, Nature 518, 179 (2015)

    Article  ADS  Google Scholar 

  15. E. Fradkin, S.A. Kivelson, J.M. Tranquada, Rev. Mod. Phys. 87, 457 (2015)

    Article  ADS  Google Scholar 

  16. S.A. Kivelson, E. Fradkin, V.J. Emery, Nature 393, 550 (1998)

    Article  ADS  Google Scholar 

  17. V.J. Emery, S.A. Kivelson, J.M. Tranquada, Proc. Natl. Acad. Sci. 96, 8814 (1999)

    Article  ADS  Google Scholar 

  18. S.-W. Cheong, G. Aeppli, T.E. Mason, H. Mook, S.M. Hayden, P.C. Canfield, Z. Fisk, K.N. Clausen, J.L. Martinez, Phys. Rev. Lett. 67, 1791 (1991)

    Article  ADS  Google Scholar 

  19. R.M. Fernandes, A.V. Chubukov, J. Schmalian, Nat. Phys. 10, 97 (2014)

    Article  Google Scholar 

  20. R.M. Fernandes, J. Schmalian, Supercond. Sci. Technol. 25, 084005 (2012)

    Article  ADS  Google Scholar 

  21. R.A. Borzi, S.A. Grigera, J. Farrell, R.S. Perry, S.J.S. Lister, S.L. Lee, D.A. Tennant, Y. Maeno, A.P. Mackenzie, Science 315, 214 (2007)

    Article  ADS  Google Scholar 

  22. B.E. Feldman, M.T. Randeria, A. Gyenis, F. Wu, H. Ji, R.J. Cava, A.H. MacDonald, A. Yazdani, Science 354, 316 (2016)

    Article  ADS  Google Scholar 

  23. F. Ronning, T. Helm, K.R. Shirer, M.D. Bachmann, L. Balicas, M.K. Chan, B.J. Ramshaw, R.D. McDonald, F.F. Balakirev, M. Jaime, E.D. Bauer, P.J.W. Moll, Nature 548, 313 (2017)

    Article  ADS  Google Scholar 

  24. M.M. Fogler, Stripe and bubble phases in quantum hall systems, in High Magnetic Fields. Lecture Notes in Physics, vol. 595 (Springer, Berlin, 2002), pp. 98–138

    Chapter  Google Scholar 

  25. E. Fradkin, S.A. Kivelson, M.J. Lawler, J.P. Eisenstein, A.P. Mackenzie, Annu Rev. Condens. Matter Phys. 1, 153 (2010)

    Article  ADS  Google Scholar 

  26. M.P. Lilly, K.B. Cooper, J.P. Eisenstein, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 83, 824 (1999)

    Article  ADS  Google Scholar 

  27. W. Pan, R.R. Du, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Phys. Rev. Lett. 83, 820 (1999)

    Article  ADS  Google Scholar 

  28. J. Xia, V. Cvicek, J.P. Eisenstein, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 105, 176807 (2010)

    Article  ADS  Google Scholar 

  29. J. Xia, J.P. Eisenstein, L.N. Pfeiffer, K.W. West, Nat. Phys. 7, 845 (2011)

    Article  Google Scholar 

  30. M. Mulligan, C. Nayak, S. Kachru, Phys. Rev. B 84, 195124 (2011)

    Article  ADS  Google Scholar 

  31. Y. Liu, S. Hasdemir, M. Shayegan, L.N. Pfeiffer, K.W. West, K.W. Baldwin, Phys. Rev. B 88, 035307 (2013)

    Article  ADS  Google Scholar 

  32. J. Pollanen, K.B. Cooper, S. Brandsen, J.P. Eisenstein, L.N. Pfeiffer, K.W. West, Phys. Rev. B 92, 115410 (2015)

    Article  ADS  Google Scholar 

  33. X. Shi, W. Pan, K.W. Baldwin, K.W. West, L.N. Pfeiffer, D.C. Tsui, Phys. Rev. B 91, 125308 (2015)

    Article  ADS  Google Scholar 

  34. Q. Shi, M.A. Zudov, J.D. Watson, G.C. Gardner, M.J. Manfra, Phys. Rev. B 93, 121404 (2016)

    Article  ADS  Google Scholar 

  35. Q. Shi, M.A. Zudov, J.D. Watson, G.C. Gardner, M.J. Manfra, Phys. Rev. B 93, 121411 (2016)

    Article  ADS  Google Scholar 

  36. Q. Shi, M.A. Zudov, Q. Qian, J.D. Watson, M.J. Manfra, Phys. Rev. B. 95, 161303 (2017)

    Article  ADS  Google Scholar 

  37. Q. Shi, M.A. Zudov, B. Friess, J.H. Smet, J.D. Watson, G.C. Gardner, M.J. Manfra, Phys. Rev. B 95, 161404 (2017)

    Article  ADS  Google Scholar 

  38. J. Göres, G. Gamez, J.H. Smet, L. Pfeiffer, K. West, A. Yacoby, V. Umansky, K. von Klitzing, Phys. Rev. Lett. 99, 246402 (2007)

    Article  ADS  Google Scholar 

  39. M.A. Mueed, Md. Shafayat Hossain, L.N. Pfeiffer, K.W. West, K.W. Baldwin, M. Shayegan, Phys. Rev. Lett. 117, 076803 (2016)

    Google Scholar 

  40. Y. Liu, D. Kamburov, M. Shayegan, L.N. Pfeiffer, K.W. West, K.W. Baldwin, Phys. Rev. B 87, 075314 (2013)

    Article  ADS  Google Scholar 

  41. B. Friess, Y. Peng, B. Rosenow, F. von Oppen, V. Umansky, K. von Klitzing, J.H. Smet, Nat. Phys. 13, 1124 (2017)

    Article  Google Scholar 

  42. B. Friess, V. Umansky, L. Tiemann, K. von Klitzing, J.H. Smet, Phys. Rev. Lett. 113, 076803 (2014)

    Article  ADS  Google Scholar 

  43. M.E. Msall, W. Dietsche, New J. Phys. 17, 043042 (2015)

    Article  ADS  Google Scholar 

  44. G. Sambandamurthy, R.M. Lewis, H. Zhu, Y.P. Chen, L.W. Engel, D.C. Tsui, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 100, 256801 (2008)

    Article  ADS  Google Scholar 

  45. Q. Qian, J. Nakamura, S. Fallahi, G.C. Gardner, M.J. Manfra, Nat. Commun. 8, 1536 (2017)

    Article  ADS  Google Scholar 

  46. S. Basak, E.W. Carlson, Phys. Rev. B 96, 081303 (2017)

    Article  ADS  Google Scholar 

  47. Y. You, G.Y. Cho, E. Fradkin, Phys. Rev. B 93, 205401 (2016)

    Article  ADS  Google Scholar 

  48. A. Mesaros, M.J. Lawler, E.-A. Kim, Phys. Rev. B 95, 125127 (2017)

    Article  ADS  Google Scholar 

  49. E.H. Rezayi, F.D.M. Haldane, Phys. Rev. Lett. 84, 4685 (2000)

    Article  ADS  Google Scholar 

  50. S.P. Koduvayur, Y. Lyanda-Geller, S. Khlebnikov, G.A. Csáthy, M.J. Manfra, L.N. Pfeiffer, K.W. West, L.P. Rokhinson, Phys. Rev. Lett. 106, 016804 (2011)

    Article  ADS  Google Scholar 

  51. M.J. Manfra, R. de Picciotto, Z. Jiang, S.H. Simon, L.N. Pfeiffer, K.W. West, A.M. Sergent, Phys. Rev. Lett. 98, 206804 (2007)

    Article  ADS  Google Scholar 

  52. W. Pan, A. Serafin, J.S. Xia, L. Yin, N.S. Sullivan, K.W. Baldwin, K.W. West, L.N. Pfeiffer, D.C. Tsui, Phys. Rev. B. 89, 241302 (2014)

    Article  ADS  Google Scholar 

  53. N. Deng, A. Kumar, M.J. Manfra, L.N. Pfeiffer, K.W. West, G.A. Csáthy, Phys. Rev. Lett. 108, 086803 (2012)

    Article  ADS  Google Scholar 

  54. N. Deng, J.D. Watson, L.P. Rokhinson, M.J. Manfra, G.A. Csáthy, Phys. Rev. B 86, 201301 (2012)

    Article  ADS  Google Scholar 

  55. D.T. Son, Phys. Rev. X 5, 031027 (2015)

    Google Scholar 

  56. M.Z. Hasan, C.L. Kane, Rev. Mod. Phys. 82, 3045 (2010)

    Article  ADS  Google Scholar 

  57. X.L. Qi, S.C. Zhang, Rev. Mod. Phys. 83, 1057 (2011)

    Article  ADS  Google Scholar 

  58. L.D. Landau, E.M. Lifshitz, Statistical Physics, 3rd edn. Part 1. Landau and Lifshitz Course of Theoretical Physics, vol. 5 (Elsevier, Oxford, 1980)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Schreiber, K.A. (2019). The Quantum Hall Nematic Phase. In: Ground States of the Two-Dimensional Electron System at Half-Filling under Hydrostatic Pressure. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-26322-5_2

Download citation

Publish with us

Policies and ethics