-
5
-
-
10744228490
-
-
S. Melinte, M. Berciu, C. Zhou, E. Tutuc, S. J. Papadakis, C. Harisson, E. P. De Poortere, M. Wu, P. M. Chaikin, M. Shayegan, R. N. Bhatt, and R. A. Register, Phys. Rev. Lett. 92, 036802 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 036802
-
-
Melinte, S.1
Berciu, M.2
Zhou, C.3
Tutuc, E.4
Papadakis, S.J.5
Harisson, C.6
De Poortere, E.P.7
Wu, M.8
Chaikin, P.M.9
Shayegan, M.10
Bhatt, R.N.11
Register, R.A.12
-
6
-
-
0001691070
-
-
and references therein
-
S. Melinte, E. Grivei, V. Bayot, and M. Shayegan, Phys. Rev. Lett. 82, 2764 (1999), and references therein.
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 2764
-
-
Melinte, S.1
Grivei, E.2
Bayot, V.3
Shayegan, M.4
-
7
-
-
20044388316
-
-
private communication
-
P. Chaikin (private communication).
-
-
-
Chaikin, P.1
-
11
-
-
20044364921
-
-
note
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There is a considerable amount of work on the effects of disorder on the Hofstadter butterfly, for tight-binding models. Such models correspond to having the periodic modulation as the dominant energy scale, and investigate the interplay between disorder potential and the cyclotron energy scales. This is very different from the regime of interest to us, where the cyclotron energy is the dominant scale while disorder competes with the periodic modulation.
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-
-
-
18
-
-
20044369151
-
-
Physica B 227, 61 (1996).
-
(1996)
Physica B
, vol.227
, pp. 61
-
-
-
23
-
-
3543067162
-
-
J. A. Simmons, H. P. Wei, L. W. Engel, D. C. Tsui, and M. Shayegan, Phys. Rev. Lett. 63, 1731 (1989).
-
(1989)
Phys. Rev. Lett.
, vol.63
, pp. 1731
-
-
Simmons, J.A.1
Wei, H.P.2
Engel, L.W.3
Tsui, D.C.4
Shayegan, M.5
-
25
-
-
20044373631
-
-
note
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0. This can be understood in the spirit of the Bohr-Sommerfeld quantization rule, since it ensures constructive interference of the wave function around the contour. Except for the most localized states, found at the bottom and the top of the band, all other localized states are such that they enclose large numbers of magnetic fluxes. Imposing the exact quantization condition (which is numerically time consuming) leads to a negligible change in the value of the allowed equipotential value with respect to a randomly chosen value. Since such small changes do not influence the shape of the density of states, we ignore imposing this quantization condition in obtaining the semiclassical densities of states.
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26
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84856132110
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-
We used the package FFTW2.1.3 available on-line at http:// www.fftw.org
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-
-
-
28
-
-
0035251253
-
-
M. Baertschy, T. N. Rescigno, W. A. Isaacs, X. Li, and C. W. McCurdy, Phys. Rev. A 63, 022712 (2001). Details regarding the software also available at http://www.nersc.gov/xiaoye/ SuperLU
-
(2001)
Phys. Rev. A
, vol.63
, pp. 022712
-
-
Baertschy, M.1
Rescigno, T.N.2
Isaacs, W.A.3
Li, X.4
McCurdy, C.W.5
-
30
-
-
0001015261
-
-
R. J. Haug, R. R. Gerhardts, K. v. Klitzing, and K. Ploog, Phys. Rev. Lett. 59, 1349 (1987).
-
(1987)
Phys. Rev. Lett.
, vol.59
, pp. 1349
-
-
Haug, R.J.1
Gerhardts, R.R.2
Klitzing, K.V.3
Ploog, K.4
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