Residual interactions and correlations among Laughlin quasiparticles: Novel hierarchy states

Solid State Communications

Volumn 130, Issue 3-4, 2004, Pages 165-169

  Quinn, John J ^a,c   Wojs, Arkadiusz ^a,b   Yi, Kyung Soo ^a,c  

^a UNIVERSITY OF TENNESSEE   (United States)

^b WROCLAW UNIVERSITY OF TECHNOLOGY   (Poland)

^c Pusan National University   (South Korea)

Author keywords

D. Fractional quantum Hall states; D. Hierarchy states; D. Pairing of quasiparticles; D. Residual interactions

Indexed keywords

CORRELATION METHODS; FERMIONS; GROUND STATE; HALL EFFECT; INCOMPRESSIBLE FLOW;

FRACTIONAL QUANTUM HALL STATES; HIERARCHY STATES; RESIDUAL INTERACTIONS;

QUANTUM THEORY;

EID: 1542715619     PISSN: 00381098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ssc.2004.02.005     Document Type: Article

References (29)

1. xx at ν=7/11 and 9/13 (the e-h conjugates of ν=4/11 and 4/13) were observed earlier by Goldman V.J., Shayegen M. Surf. Sci. 229:1990;10. In addition, Mani R.G., von Klitzing K. Z. Phys. B. 100:1996;635. suggested the occurrence of quantum Hall states at ν=4/11 and 4/13 based on a 'self-similarity' in the Hall resistance as a function of filling factor ν. However, only Pan, et al. observed condensed states at even denominator fractions (like ν=3/8 and 3/10) with ν<1.
2. xx at ν=7/11 and 9/13 (the e-h conjugates of ν=4/11 and 4/13) were observed earlier by Goldman V.J., Shayegen M. Surf. Sci. 229:1990;10. In addition, Mani R.G., von Klitzing K. Z. Phys. B. 100:1996;635. suggested the occurrence of quantum Hall states at ν=4/11 and 4/13 based on a 'self-similarity' in the Hall resistance as a function of filling factor ν. However, only Pan, et al. observed condensed states at even denominator fractions (like ν=3/8 and 3/10) with ν<1.
3. xx at ν=7/11 and 9/13 (the e-h conjugates of ν=4/11 and 4/13) were observed earlier by Goldman V.J., Shayegen M. Surf. Sci. 229:1990;10. In addition, Mani R.G., von Klitzing K. Z. Phys. B. 100:1996;635. suggested the occurrence of quantum Hall states at ν=4/11 and 4/13 based on a 'self-similarity' in the Hall resistance as a function of filling factor ν. However, only Pan, et al. observed condensed states at even denominator fractions (like ν=3/8 and 3/10) with ν<1.
4. Smet J.H. Nature. 422:2003;391.
5. Sitko P., Yi K.-S., Quinn J.J. Phys. Rev. B. 56:1997;12417. The CF hierarchy reproduces Haldane's original hierarchy Haldane F.D. Phys. Rev. Lett. 51:1983;605. if the mean field picture is assumed to be valid. A CF hierarchy scheme was first introduced by Jain J.K., Goldman V.J. Phys. Rev. B. 45:1992;1225. Their approach is different and somewhat more formal than that of Sitko et al.
6. Sitko P., Yi K.-S., Quinn J.J. Phys. Rev. B. 56:1997;12417. The CF hierarchy reproduces Haldane's original hierarchy Haldane F.D. Phys. Rev. Lett. 51:1983;605. if the mean field picture is assumed to be valid. A CF hierarchy scheme was first introduced by Jain J.K., Goldman V.J. Phys. Rev. B. 45:1992;1225. Their approach is different and somewhat more formal than that of Sitko et al.
7. Sitko P., Yi K.-S., Quinn J.J. Phys. Rev. B. 56:1997;12417. The CF hierarchy reproduces Haldane's original hierarchy Haldane F.D. Phys. Rev. Lett. 51:1983;605. if the mean field picture is assumed to be valid. A CF hierarchy scheme was first introduced by Jain J.K., Goldman V.J. Phys. Rev. B. 45:1992;1225. Their approach is different and somewhat more formal than that of Sitko et al.
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21. See, for example, Cowan R.D. The Theory of Atomic Structure and Spectra. 1981;University of California Press, Berkeley, de Shalit A., Talmi I. Nuclear Shell Theory. 1963;Academic Press, New York.
22. See, for example, Cowan R.D. The Theory of Atomic Structure and Spectra. 1981;University of California Press, Berkeley, de Shalit A., Talmi I. Nuclear Shell Theory. 1963;Academic Press, New York.
23. This pair amplitude should not be confused in any way with that introduced in the description of superconductors. These pairs are pairs of Laughlin quasiparticles (which can be treated as CF's in a partially filled CF shell). They are similar to the electron pairs suggested by Halperin B.I. Helv. Phys. Acta. 56:1983;75. in an attempt to describe filling factor like ν=2/5.
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26. Quinn J.J., Wojs A., Yi K.-S. Phys. Lett. A. 318:2003;152 J.J. Quinn, A. Wojs, K.-S. Yi, Jennifer J. Quinn, Int. School of Physics 'Enrico Fermi' Varenna, 2003.
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28. See, however, results of large-scale numerical computations by Mandal S.S., Jain J.K. Phys. Rev. B. 66:2002;155302.
29. Similar approach was recently used by Lee S.-Y., Scarola V.W., Jain J.K. Phys. Rev. B. 66:2002;085336.