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Manipulating the Tomonaga-Luttinger exponent by electric field modulation

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Abstract.

We establish a theoretical framework for artificial control of the power-law singularities in Tomonaga-Luttinger liquid states. The exponent governing the power-law behaviors is found to increase significantly with an increase in the amplitude of spatially periodic electrostatic field applied to the system. This field-induced shift in the exponent indicates the tunability of the transport properties of quasi-one-dimensional electron systems.

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References

  1. S. Tomonaga, Prog. Theor. Phys. 5, 544 (1950)

    Article  MathSciNet  ADS  Google Scholar 

  2. J.M. Luttinger, Phys. Rev. 119, 1153 (1960)

    Article  MATH  MathSciNet  ADS  Google Scholar 

  3. J.M. Luttinger, J. Math. Phys. 4, 1154 (1963)

    Article  MathSciNet  ADS  Google Scholar 

  4. J. Voit, Rep. Prog. Phys. 58, 977 (1995)

    Article  ADS  Google Scholar 

  5. M. Bockrath, D.H. Cobden, J. Lu, A.G. Rinzler, R.E. Smalley, L. Balents, P.L. McEuen, Nature (London) 397, 598 (1999)

    Article  ADS  Google Scholar 

  6. Z. Yao, H. Postma, L. Balents, C. Dekker, Nature (London) 402, 273 (1999)

    Article  ADS  Google Scholar 

  7. A. Bachtold, M. de Jonge, K. Grove-Rasmussen, P.L. McEuen, M. Buitelaar, C. Schonenberger, Phys. Rev. Lett. 87, 166801 (2001)

    Article  ADS  Google Scholar 

  8. H. Ishii, H. Kataura, H. Shiozawa, H. Yoshioka, H. Otsubo, Y. Takayama, T. Miyahara, S. Suzuki, Y. Achiba, M. Nakatake, T. Narimura, M. Higashiguchi, K. Shimada, H. Namatame, M. Taniguchi, Nature (London) 426, 540 (2003)

    Article  ADS  Google Scholar 

  9. H. Yoshioka, Physica E 18, 212 (2003)

    ADS  Google Scholar 

  10. N. Tombros, S.J. van der Molen, B.J. van Wees, Phys. Rev. B 73, 233403 (2006)

    Article  ADS  Google Scholar 

  11. O.M. Auslaender, A. Yacoby, R. de Picciotto, K.W. Baldwin, L.N. Pfeiffer, K.W. West, Science 295, 825 (2002)

    Article  ADS  Google Scholar 

  12. Y. Tserkovnyak, B.I. Halperin, O.M. Auslaender, A. Yacoby, Phys. Rev. Lett. 89, 136805 (2002)

    Article  ADS  Google Scholar 

  13. Y. Tserkovnyak, B.I. Halperin, O.M. Auslaender, A. Yacoby, Phys. Rev. B 68, 125312 (2003)

    Article  ADS  Google Scholar 

  14. O.M. Auslaender, H. Steinberg, A. Yacoby, Y. Tserkovnyak, B.I. Halperin, K.W. Baldwin, L.N. Pfeiffer, K.W. West, Science 308, 88 (2005)

    Article  ADS  Google Scholar 

  15. H. Steinberg, G. Barak, A. Yacoby, L.N. Pheiffer, K.W. West, B.I. Halperin, K.L. Hur, Nat. Phys. 4, 116 (2008)

    Article  Google Scholar 

  16. Y. Jompol, C.J.B. Ford, J.P. Griffiths, I. Farrer, G.A.C. Jones, D. Anderson, D.A. Ritchie, T.W. Silk, A.J. Schofield, Science 325, 597 (2009)

    Article  ADS  Google Scholar 

  17. A. Schwartz, M. Dressel, G. Grüner, V. Vescoli, L. Degiorgi, T. Giamarchi, Phys. Rev. B 58, 1261 (1998)

    Article  ADS  Google Scholar 

  18. R. Claessen, M. Sing, U. Schwingenschlögl, P. Blaha, M. Dressel, C.S. Jacobsen, Phys. Rev. Lett. 88, 096402 (2002)

    Article  ADS  Google Scholar 

  19. M. Sing, U. Schwingenschlögl, R. Claessen, P. Blaha, J.M.P. Carmelo, L.M. Martelo, P.D. Sacramento, M. Dressel, C.S. Jacobsen, Phys. Rev. B 68, 125111 (2003)

    Article  ADS  Google Scholar 

  20. A.M. Chang, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 77, 2538 (1996)

    Article  ADS  Google Scholar 

  21. C. Kim, A.Y. Matsuura, Z.X. Shen, N. Motoyama, H. Eisaki, S. Uchida, T. Tohyama, S. Maekawa, Phys. Rev. Lett. 77, 4054 (1996)

    Article  ADS  Google Scholar 

  22. P. Segovia, D. Purdie, M. Hengsberger, Y. Baer, Nature (London) 402, 504 (1999)

    Article  ADS  Google Scholar 

  23. E. Slot, M.A. Holst, H.S.J. van der Zant, S.V. Zaitsev-Zotov, Phys. Rev. Lett. 93, 176602 (2004)

    Article  ADS  Google Scholar 

  24. A.N. Aleshin, H.J. Lee, Y.W. Park, K. Akagi, Phys. Rev. Lett. 93, 196601 (2004)

    Article  ADS  Google Scholar 

  25. J. Hager, R. Matzdorf, J. He, R. Jin, D. Mandrus, M.A. Cazalilla, E.W. Plummer, Phys. Rev. Lett. 95, 186402 (2005)

    Article  ADS  Google Scholar 

  26. L. Venkataraman, Y.S. Hong, P. Kim, Phys. Rev. Lett. 96, 076601 (2006)

    Article  ADS  Google Scholar 

  27. B.J. Kim, H. Koh, E. Rotenberg, S.J. Oh, H. Eisaki, N. Motoyama, S. Uchida, T. Tohyama, S. Maekawa, Z.X. Shen, C. Kim, Nat. Phys. 2, 397 (2006)

    Article  Google Scholar 

  28. J.D. Yuen, R. Menon, N.E. Coates, E.B. Namdas, S. Cho, S.T. Hannahs, D. Moses, A.J. Heeger, Nature Mater. 8, 572 (2009)

    Article  ADS  Google Scholar 

  29. A. Imambekov, L.I. Glazman, Science 323, 228 (2009)

    Article  MathSciNet  Google Scholar 

  30. A. Imambekov, L.I. Glazman, Phys. Rev. Lett. 102, 126405 (2009)

    Article  ADS  Google Scholar 

  31. K.H. Ahn, H. Yi, Europhys. Lett. 67, 641 (2004)

    Article  ADS  Google Scholar 

  32. H. Yi, K.H. Ahn, Eur. Phys. J. B 76, 283 (2010)

    Article  ADS  Google Scholar 

  33. A. Tokuno, M. Oshikawa, E. Demler, Phys. Rev. Lett. 100, 140402 (2008)

    Article  ADS  Google Scholar 

  34. V. Bubanja, S. Iwabuchi, Phys. Rev. B 79, 035312 (2009)

    Article  ADS  Google Scholar 

  35. A. Kanda, K. Tsukagoshi, Y. Aoyagi, Y. Ootuka, Phys. Rev. Lett. 92, 036801 (2004)

    Article  ADS  Google Scholar 

  36. A.S. Rodin, M.M. Fogler, Phys. Rev. Lett. 105, 106801 (2010)

    Article  ADS  Google Scholar 

  37. H. Shima, H. Yoshioka, J. Onoe, Phys. Rev. B 79, R201401 (2009)

    Article  ADS  Google Scholar 

  38. H. Shima, H. Yoshioka, J. Onoe, Physica E 42, 1151 (2010)

    Article  ADS  Google Scholar 

  39. M. Fabrizio, A.O. Gogolin, Phys. Rev. B 51, 17827 (1995)

    Article  ADS  Google Scholar 

  40. H.W.C. Postma, M. de Jonge, Z. Yao, C. Dekker, Phys. Rev. B 62, R10653 (2000)

    Article  ADS  Google Scholar 

  41. F. Morales, M. Monteverde, M. Núñez-Regueiro, Eur. Phys. J. B 65, 511 (2008)

    Article  ADS  Google Scholar 

  42. H. Shima, M. Sato, Nanotechnology 19, 495705 (2008)

    Article  Google Scholar 

  43. H. Shima, M. Sato, Phys. Stat. Sol. A 206, 2228 (2009)

    Article  ADS  Google Scholar 

  44. H. Shima, M. Sato, K. Iiboshi, S. Ghosh, M. Arroyo, Phys. Rev. B 82, 085401 (2010)

    Article  ADS  Google Scholar 

  45. S. Bellucci, J. González, P. Onorato, E. Perfetto, Phys. Rev. B 74, 045427 (2006)

    Article  ADS  Google Scholar 

  46. M. Klanjšek, H. Mayaffre, C. Berthier, M. Horvatić, B. Chiari, O. Piovesana, P. Bouillot, C. Kollath, E. Orignac, R. Citro, T. Giamarchi, Phys. Rev. Lett. 101, 137207 (2008)

    Article  ADS  Google Scholar 

  47. S. Ono, H. Shima, Phys. Rev. B 79, 235407 (2009)

    Article  ADS  Google Scholar 

  48. S. Ono, H. Shima, Physica E 42, 1224 (2010)

    Article  ADS  Google Scholar 

  49. H. Taira, H. Shima, J. Phys.: Condens. Matter 22, 075301 (2010)

    Article  ADS  Google Scholar 

  50. H. Taira, H. Shima, J. Phys.: Condens. Matter 22, 245302 (2010)

    Article  ADS  Google Scholar 

  51. H. Taira, H. Shima, J. Phys. A: Math. Theor. 43, 354013 (2010)

    Article  MathSciNet  Google Scholar 

  52. S. Adachi, J. Appl. Phys. 58, R1 (1985)

    Article  ADS  Google Scholar 

  53. B. Tanatar, D.M. Ceperley, Phys. Rev. B 39, 5005 (1989)

    Article  ADS  Google Scholar 

  54. L. Shulenburger, M. Casula, G. Senatore, R.M. Martin, Phys. Rev. B 78, 165303 (2008)

    Article  ADS  Google Scholar 

  55. K. Günter, T. Stöferle, H. Moritz, M. Köhl, T. Esslinger, Phys. Rev. Lett. 95, 230401 (2005)

    Article  Google Scholar 

  56. R. Chitra, T. Giamarchi, Phys. Rev. B 55, 5816 (1997)

    Article  ADS  Google Scholar 

  57. T. Giamarchi, A.M. Tsvelik, Phys. Rev. B 59, 11398 (1999)

    Article  ADS  Google Scholar 

  58. T. Hikihara, A. Furusaki, Phys. Rev. B 63, 134438 (2001)

    Article  ADS  Google Scholar 

  59. G.I. Japaridze, H. Johannesson, A. Ferraz, Phys. Rev. B 80, R041308 (2009)

    Article  ADS  Google Scholar 

  60. T. Schlösser, K. Ensslin, J.P. Kotthaus, M. Holland, Europhys. Lett. 33, 683 (1996)

    Article  ADS  Google Scholar 

  61. C. Albrecht, J.H. Smet, K. von Klitzing, D. Weiss, V. Umansky, H. Schweizer, Phys. Rev. Lett. 86, 147 (2001)

    Article  ADS  Google Scholar 

  62. S. Melinte, Mona Berciu, C. Zhou, E. Tutuc, S.J. Papadakis, C. Harrison, E.P. De Poortere, M. Wu, P.M. Chaikin, M. Shayegan, R.N. Bhatt, R.A. Register, Phys. Rev. Lett. 92, 036802 (2004)

    Article  ADS  Google Scholar 

  63. S. Hugger, T. Heinzel, T. Thurn-Albrecht, Appl. Phys. Lett. 93, 102110 (2008)

    Article  ADS  Google Scholar 

  64. For example, see, H. Shima and T. Nakayama, Higher Mathematics for Physics and Engineering (Springer-Verlag, 2010)

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Shima, H., Ono, S. & Yoshioka, H. Manipulating the Tomonaga-Luttinger exponent by electric field modulation. Eur. Phys. J. B 78, 481–488 (2010). https://doi.org/10.1140/epjb/e2010-10698-2

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  • DOI: https://doi.org/10.1140/epjb/e2010-10698-2

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