Education, Science, Technology, Innovation and Life
Open Access
Sign In

Higher energy modes of Fractional quantum Hall Effect

Download as PDF

DOI: 10.23977/jptc.2018.11002 | Downloads: 57 | Views: 3823

Author(s)

Debashis Das 1, Moumita Indra 1, Dwipesh Majumder 1

Affiliation(s)

1 Indian Institute of Engineering Science and Technology, Shibpur, India

Corresponding Author

Debashis Das

ABSTRACT

We have calculated the energy spectra for almost all the filling fraction in the Jain series, low energy fundamental mode as well as higher energy modes using CF theory. The nature of low energy mode and higher energy mode is nearly identical roton mode. We have observed that, these series of filling fractions ν = n/(2pn+1) posses n number of roton minima in their higher energy mode.

KEYWORDS

Higher energy, Fractional quantum, Jain series, CF theory.

CITE THIS PAPER

Debashis, D., Moumita, I., Dwipesh, M., Higher energy modes of Fractional quantum Hall Effect. Journal of Physics Through Computation (2018) 1: 8-16.

REFERENCES

[1] D. C. Tsui, H. L. Stormer, and A. C. Gossard, Phys. Rev. Lett. 48, 1559 (1982).
[2] R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
[3] R. R. Du, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 70, 2944 (1993).
[4] Igor F. Herbut and Zlatko Tešanović, Phys. Rev. Lett. 71, 4234 (1993).
[5] M. H. Anderson, J. R. Ensher, M. R. Matthews, C. E. Wieman and E. A. Cornell, Science 269, 198(1995); K. B. Davis et al.., Phys. Rev. Lett. 75, 3969(1995); A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, and T. Pfau, Phys. Rev. Lett. 94, 160401(2005); C.A. Sackett, C.C. Bradley, M. Welling, R.G. Hulet, Appl. Phys. B 65, 433(1997), T. Weber, J. Herbig, M. Mark, H. Nägerl, R. Grimm, Science 299, 232(2003).
[6] J. K. Jain, Phys. Rev. Lett. 63, 199 (1989), Phys. Rev. B 41, 7653 (1990).
[7] K. Park and J. K. Jain, Solid State Communications 119 (2001) 291; K. Park and J. K. Jain, Phys. Rev. Lett. 83, 5543 (1999); M. Indra, D. Das, D. Majumder, Phys. Lett. A 382, 2984 (2018).
[8] A. Lopez and E. Fradkin, Phys. Rev. B 44, 5246 (1991).
[9] B. I. Halperin, Helv. Phys. Acta 56, 75 (1983).
[10] M. R. Peterson, J. K. Jain, Phys. Rev. B 68, 195310(2003); G. Gervais, L. W. Engel, H. L. Stormer, D. C. Tsui, K. W. Baldwin, K. W. West, L. N. Pfeiffer, Phys. Rev. Lett. 93,266804 (2004).
[11] S. Y. Lee, V. W. Scarola and J. K. Jain, Phys. Rev. B 66, 085336 (2002);D. Das, M. Indra, D. Majumder, Solid state commu. 260 19 (2017).
[12] W. Pan, H. L. Stormer, D. C. Tsui, L. N. Pfeiffer, K. W. Baldwin and K. W. West, Phys. Rev. Lett. 88, 176802 (2002).
[13] C. Kallin and B. I. Halperin, Phys. Rev. B 30, 5655 (1984); J. P. Longo and C. Kallin, Phys. Rev. B 47, 4429 (1993).
[14] P. M. Platzman and S. He, Phys. Rev. B 49, 13674 (1994).
[15] R. P. Feynman, Phys. Rev. 91, 1291 (1953); Phys. Rev. 94, 262 (1954).
[16] S. M. Girvin, A. H. MacDonald and P. M. Platzman, Phys. Rev.Lett. 54, 581 (1985), Phys. Rev. B 33, 2481 (1986); K. Park and J. K. Jain, Solid State Commun. 115, 353 (2000).
[17] G. Murthy, Phys. Rev. B 60, 13702 (1999). 
[18] G. Dev and J. K. Jain, Phys. Rev. Lett. 69, 2843 (1992); R. K. Kamilla, X. G. Wu and J. K. Jain, Phys. Rev. Lett. 76, 1332 (1996); V. W. Scarola, K. Park and J. K. Jain, Phys. Rev. B 61, 13064 (2000).
[19] A. Pinczuk, B. S. Dennis, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 70, 3983 (1993); M. Kang, A. Pinczuk, B. S. Dennis, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 86, 2637 (2001); I. Dujovne, A. Pinczuk, M. Kang, B. S. Dennis, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 90, 036803 (2003); I. Dujovne, A. Pinczuk, M. Kang, B. S. Dennis, L. N. Pfeiffer and K. W. West, Phys. Rev. Lett. 95, 056808 (2005).
[20] U. Wurstbauer, D. Majumder, S. S. Mandal, I. Dujovne, T. D. Rhone, B. S. Dennis, A. F. Rigosi, J. K. Jain, A. Pinczuk, K. W. West and L. N. Pfeiffer, Phys. Rev. Lett. 107, 066804 (2011).
[21] T. D. Rhone, D. Majumder, B. S. Dennis, C. Hirjibehedin, I. Dujovne, J. G. Groshaus, Y. Gallais, J. K. Jain, S. S. Mandal, A. Pinczuk, L. Pfeiffer and K. West, Phys. Rev. Lett. 106, 096803 (2011).
[22] J. K. Jain and R. K. Kamilla, Int. J. Mod. Phys. B 11, 2621 (1997).
[23] D. Majumder, S. S. Mandal and J. K. Jain, Nat. Phys. 5, 403 (2009); D. Majumder and S. S. Mandal Phys. Rev. B 90, 155310 (2014).
[24] S. Golkar, D. X. Nguyen, M. M. Roberts and D. T. Son, Phys. Rev. Lett. 117, 216403(2016).
[25] C. F. Hirjibehedin, et al. Phys. Rev. Lett. 95, 066803 (2005).
[26] D. Das, M. Indra, D. Majumder, Solid state commu. 260 19 (2017).
[27] Composite Fermions, J. K. Jain ( Cambridge University Press), http://www.cambridge.org/9780521862325.
[28] F.D.M.Haldane, Phys. Rev. Lett. 51, 605 (1983).F. D. M. Haldane ,E. H. Rezayi, Phys. Rev. Lett. 54,237 (1985) G. Fano, F. Ortolani, and E. Colombo, Phys. Rev. B 34,2670 (1986).
[29] V. W. Scarola, K. Park and J. K. Jain, Phys. Rev. B 61, 13064 (2000). [30] S. S. Mandal, J. K. Jain, Phys. Rev. B 66 , 155302 (2002).
[31] M. W. Ortalano, Song He and S. Das Sarma Phys. Rev. B 55, 7702 (1997).

Downloads: 632
Visits: 45250

All published work is licensed under a Creative Commons Attribution 4.0 International License.

Copyright © 2016 - 2031 Clausius Scientific Press Inc. All Rights Reserved.