Quasi-Particle Localization by Disorder in ν = 5/2 Fractional Quantum Hall State and Its Potential Application

• Authors: P. Goswami
• Languages of publication: EN

Abstracts

EN

We consider the filling factor 5/2 fractional quantum Hall state of spin-polarized fermions in a dirty (mobility μ_b < 10 m^2 V^{-1} s^{-1}) bi-layer quantum well system.We show that the system undergoes a quantum phase transition from the effective two-component state to an effective single-component state, at fixed charge imbalance regulatory parameter Δ_{c} and constant layer separation, as the inter-layer tunneling strength Δ_{SAS} is increased. At finite and constant Δ_{SAS}, a transition from the latter state to the former state is also possible upon increasing the parameter Δ_{c}. We identify the order parameter to describe quantum phase transition as a pseudo-spin component and calculate this with the aid of the Matsubara propagators in the finite-temperature formalism. Our treatment is able to show that, at low temperature(< 0.1 K) and low value of charge imbalance regulatory parameter, there is a competition between the disorder and the inter-layer tunneling strength in the sample. The competition leads to the quasi-particle localization at low tunneling strength.

Keywords

EN

73.21.Fg

Discipline

• 73.21.Fg: Quantum wells

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2012
• Volume: 122
• Issue: 4
• Pages: 741-747

Dates

published

2012-10

received

2011-12-28

(unknown)

2012-06-20

Contributors

author

P. Goswami

• Deshbandhu College, University of Delhi, Kalkaji, New Delhi-110019, India

References

• [1] F.D.M. Haldane, Phys. Rev. Lett. 51, 605 (1983)
• [2] M.R. Peterson, Z. Papic, S. Das Sarma, Phys. Rev. B 82, 235312 (2010)
• [3] M.R. Peterson, K. Park, S. Das Sarma, Phys. Rev. Lett. 101, 156803 (2008)
• [4] M.R. Peterson, S. Das Sarma, Phys. Rev. B 81, 165304 (2010)
• [5] Z. Papic, G. Moller, M.V. Milovanovic, N. Regnault, M.O. Goerbig, Phys. Rev. B 79, 245325 (2009)
• [6] S.M. Girvin, A.H. MacDonald, in: Perspectives, Quantum Hall Effect, Eds. S. Das Sarma, A. Pinczuk, Wiley, New York 1997, Ch. 5, p. 161
• [7] J. Shabani, T. Gokmen, M. Shayegan, Phys. Rev. Lett. 103, 046805 (2009); J. Shabani, T. Gokmen, Y.T. Chiu, M. Shayegan, Phys. Rev. Lett. 103, 256802 (2009)
• [8] R. Willett, J.P. Eisenstein, H.L. Störmer, D.C. Tsui, A.C. Gossard, J.H. English, Phys. Rev. Lett. 59, 1776 (1987)
• [9] R.H. Morf, Phys. Rev. Lett. 80, 1505 (1998)
• [10] J. Nuebler, V. Umansky, R. Morf, M. Heiblum, K. von Klitzing, J. Smet, Phys. Rev. B 81, 035316 (2010)
• [11] C.R. Dean, B.A. Piot, G. Gervais, L.N. Pfeiffer, K.W. West, Phys. Rev. B 80, 153301 (2009)
• [12] C.R. Dean, B.A. Piot, P. Hayden, S. Das Sarma, G. Gervais, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 100, 146803 (2008)
• [13] C.R. Dean, B.A. Piot, P. Hayden, S. Das Sarma, G. Gervais, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 101, 186806 (2008)
• [14] G.A. Csathy, J.S. Xia, C.L. Vicente, E.D. Adams, N.S. Sullivan, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 94, 146801 (2005)
• [15] J.P. Eisenstein, K.B. Cooper, L.N. Pfeiffer, K.W. West, Phys. Rev. Lett. 88, 076801 (2002)
• [16] W. Pan, J.-S. Xia, V. Shvarts, D.E. Adams, H.L. Stormer, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Phys. Rev. Lett. 83, 3530 (1999)
• [17] Recently Luhman et al. [D.R. Luhman, W. Pan, D.C. Tsui, L.N. Pfeiffer, K.W. Baldwin, K.W. West, Phys. Rev. Lett. 101, 266804 (2008)] have found ν = 1/4 FQHS inside single wells with relatively strong tunneling (i.e., large symmetric-antisymmetric energy splitting)
• [18] H.C. Choi, W. Kang, S. Das Sarma, L.N. Pfeiffer, K.W. West, Phys. Rev. B 77, 081301(R) (2008)
• [19] R.H. Morf, N. d'Ambrumenil, S. Das Sarma, Phys. Rev. B 66, 075408 (2002)
• [20] A.E. Feiguin, E. Rezayi, C. Nayak, S. Das Sarma, Phys. Rev. Lett. 100, 166803 (2008)
• [21] R. Morf, N. d'Ambrumenil, Phys. Rev. B 68, 113309 (2003)
• [22] M.M. Ugeda, I. Brihuega, F. Guinea, J.M. Gomez-Rodriguez, Phys. Rev. Lett. 104, 096804 (2010)
• [23] A. Wojs, G. Moller, N.R. Cooper, Acta Phys. Pol. A 119, 592 (2011)
• [24] M.O. Goerbig, Rev. Mod. Phys. 83, 1193 (2011)

Identifiers

DOI

10.12693/APhysPolA.122.741