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Tunneling between Edge States in the Fractional Quantum Hall Effect

A Physical Application for Integrable 1 + 1 Quantum Field Theories

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Book cover Low-Dimensional Applications of Quantum Field Theory

Part of the book series: NATO ASI Series ((NSSB,volume 361))

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Abstract

The purpose of these lectures is to discuss a physical problem which is experimentally relevant and is a playground for the techniques developed in the last few years in the study of integrable 1 + 1 quantum field theories: the transport through impurities in a Luttinger liquid.

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References

  1. X.G. Wen, Phys. Rev. B41 (1990) 12838;

    Article  Google Scholar 

  2. X.G. Wen, Phys. Rev. B43 (1991) 11025.

    Article  Google Scholar 

  3. C.L. Kane and M.P.A. Fisher, Phys. Rev. B46 (1992) 15233.

    Article  Google Scholar 

  4. P. Fendley, A.W.W. Ludwig and H. Saleur, Phys. Rev. Lett. 74 (1995) 3005, cond-mat/9408068.

    Article  ADS  Google Scholar 

  5. P. Fendley, A.W.W. Ludwig and H. Saleur, Phys. Rev. B (1995) in press, cond-mat/9503172.

    Google Scholar 

  6. P.W. Anderson and G. Yuval, Phys. Rev. Lett. 23 (1969) 89;

    Article  ADS  Google Scholar 

  7. G. Yuval and P.W. Anderson, Phys. Rev. B1 (1970) 1522;

    Article  ADS  Google Scholar 

  8. K.-D. Schotte, Z. Physik 230 (1970) 99;

    Article  ADS  Google Scholar 

  9. P.W. Anderson, G. Yuval and D.R. Hamman, Phys. Rev. B1 (1970) 4464

    Article  ADS  Google Scholar 

  10. K. Wilson, Rev. Mod. Phys. 47 (1975) 773.

    Article  ADS  Google Scholar 

  11. N. Andrei, K. Furuya and J. Lowenstein, Rev. Mod. Phys. 55 (1983) 331;

    Article  MathSciNet  ADS  Google Scholar 

  12. A.M. Tsvelick and P.B. Wiegmann, Adv. Phys. 32 (1983) 453.

    Article  ADS  Google Scholar 

  13. I. Affleck and A. Ludwig, Nucl. Phys. B360 (1991) 641;

    Article  MathSciNet  ADS  Google Scholar 

  14. I. Affleck and A. Ludwig, Phys. Rev. B 48 (1993) 7297.

    Article  ADS  Google Scholar 

  15. P. Fendley, Phys. Rev. Lett. 71 (1993) 2485, cond-mat/9304031.

    Article  ADS  Google Scholar 

  16. P. Nozières, J. Low Temp. Phys. 17 (1974) 31.

    Article  ADS  Google Scholar 

  17. P. Fendley, F. Lesage and H. Saleur, J. Stat. Phys. 79 (1995) 799, hep-th/9409176.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. P. Fendley and H. Saleur, cond-mat/9506104, to appear in Phys. Rev. Lett.

    Google Scholar 

  19. P. Fendley, F. Lesage and H. Saleur, “A unified framework for the Kondo problem and for an impurity in a Luttinger liquid”, cond-mat/9510055.

    Google Scholar 

  20. A. Luther and I. Peschel, Phys. Rev. B12 (1975) 3908;

    Article  ADS  Google Scholar 

  21. L.P. Kadanoff and A.C. Brown, Ann. Phys. 121 (1979) 318;

    Article  ADS  Google Scholar 

  22. F.D.M. Haldane, J. Phys. C14 (1981) 2585s.

    ADS  Google Scholar 

  23. S. Coleman, Phys. Rev. D11 (1975) 2088.

    ADS  Google Scholar 

  24. F.P. Milliken, C.P. Umbach and R.A. Webb, “Indications of a Luttinger Liquid in the Fractional Quantum Hall Regime”, to appear in Solid State Communications.

    Google Scholar 

  25. K. Moon, H. Yi, C.L. Kane, S.M. Girvin and M.P.A. Fisher, Phys. Rev. Lett. 71 (1993) 4381.

    Article  ADS  Google Scholar 

  26. S. Ghoshal and A.B. Zamolodchikov, Int. J. Mod. Phys. A9 (1994) 3841, hep-th/9306002.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. E. Wong and I. Affleck, Nucl. Phys. B417 (1994) 403, cond-mat/9311040;

    Article  MathSciNet  ADS  MATH  Google Scholar 

  28. I. Affleck and A.W.W. Ludwig, J. Phys. A27 (1994) 5375.

    MathSciNet  ADS  MATH  Google Scholar 

  29. P. Fendley, H. Saleur and N.P. Warner, Nucl. Phys. B430 (1994) 577, hep-th/9406125.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  30. A.B. Zamolodchikov and ALB. Zamolodchikov, Ann. Phys. 120 (1979) 253.

    Article  MathSciNet  ADS  Google Scholar 

  31. C.N. Yang and C.P. Yang, J. Math. Phys. 10 (1969) 1115;

    Article  ADS  MATH  Google Scholar 

  32. ALB. Zamolodchikov, Nucl. Phys. B342 (1991) 695.

    Article  MathSciNet  ADS  Google Scholar 

  33. T.R. Klassen and E. Melzer, Nucl. Phys. B338 (1990) 485.

    Article  MathSciNet  ADS  Google Scholar 

  34. K. Leung, R. Egger and C. Mak, “Dynamical simulation of transport in one-dimensional quantum wires”, preprint.

    Google Scholar 

  35. C.L. Kane and M.P.A. Fisher, Phys. Rev. Lett. 72 (1994) 724.

    Article  ADS  Google Scholar 

  36. P. Fendley, A.W.W. Ludwig and H. Saleur, Phys. Rev. Lett. 75 (1995) 2196, cond-mat/9505031.

    Article  ADS  Google Scholar 

  37. R. Landauer, Physica D38 (1989) 226;

    Google Scholar 

  38. R. Landauer and Th. Martin, Physica B175 (1991) 167;

    Article  Google Scholar 

  39. G.B. Lesovik, JETP Lett. 49 (1989) 594;

    ADS  Google Scholar 

  40. M. Buttiker, Phys. Rev. Lett. 65 (1990) 2901.

    Article  ADS  Google Scholar 

  41. P. Fendley and H. Saleur, in preparation.

    Google Scholar 

  42. I.G. Macdonald, Symmetric functions and Hall polynomials, Clarendon Press (1979);

    MATH  Google Scholar 

  43. R.P. Stanley, Adv. in Math. 77 (1989) 76.

    Article  MATH  Google Scholar 

  44. see e.g. E.K. Sklyanin, Funct. Anal. Appl. 16 (1984) 273.

    Article  Google Scholar 

  45. V. Bazhanov, S. Lukyanov and A.B. Zamolodchikov, “Integrable Structure of Conformai Field Theory, Quantum KdV Theory, and Thermodynamic Bethe Ansatz,” hep-th/9412229.

    Google Scholar 

  46. de C. Chamon, D.E. Freed and X.G. Wen, Phys. Rev. B51 (1995) 2363, cond-mat/9408064.

    Article  ADS  Google Scholar 

  47. G. Delfino, G. Mussardo and P. Simonetti, Phys. Rev. D51 (1995) R6620.

    ADS  Google Scholar 

  48. F. Lesage, H. Saleur and S. Skorik, in preparation.

    Google Scholar 

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Author information

Authors and Affiliations

  1. Physics Department, University of Southern California, Los Angeles, California, 90089-0484, USA

    P. Fendley & H. Saleur

Authors
  1. P. Fendley
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  2. H. Saleur
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Editor information

Editors and Affiliations

  1. CNRS and Université Pierre et Marie Curie (Paris VI), Paris, France

    Laurent Baulieu  & Marco Picco  & 

  2. Université Pierre et Marie Curie (Paris VI) and École Normale Superieure, Paris, France

    Vladimir Kazakov

  3. Université Pierre et Marie Curie (Paris VI), Paris, France

    Paul Windey

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© 1997 Springer Science+Business Media New York

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Fendley, P., Saleur, H. (1997). Tunneling between Edge States in the Fractional Quantum Hall Effect. In: Baulieu, L., Kazakov, V., Picco, M., Windey, P. (eds) Low-Dimensional Applications of Quantum Field Theory. NATO ASI Series, vol 361. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1919-9_14

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  • DOI: https://doi.org/10.1007/978-1-4899-1919-9_14

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1921-2

  • Online ISBN: 978-1-4899-1919-9

  • eBook Packages: Springer Book Archive

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