The frequency renormalization of acoustic phonons interacting with a double-layer composite fermion system is calculated. The space distribution of the density of the charge induced by an external electrostatic potential in a double-layer composite fermion system is determined. It is shown that for a filling factor for which states with the interlayer statistical interaction and without it can be realized, the emergence of such an interaction causes a jump in the phase velocity of a finite-frequency acoustic phonon and changes the space distribution of the charge induced by the external potential. These effects can be used for observing a transition in a double-layer electron system under the conditions of the fractional quantum Hall effect to a new ground state upon a decrease in the separation between the layers.

1.
B. I.
Halperin
,
Helv. Phys. Acta
56
,
75
(
1983
).
2.
R. B.
Laughlin
,
Phys. Rev. Lett.
50
,
1395
(
1983
).
3.
Y. W.
Suen
,
L. W.
Engel
,
M. B.
Santos
et al.,
Phys. Rev. Lett.
68
,
1379
(
1992
).
4.
J. P.
Eisenstein
,
G. S.
Boebinger
,
L. N.
Pfeiffer
et al.,
Phys. Rev. Lett.
68
,
1383
(
1992
).
5.
A.
Lopez
and
E.
Fradkin
,
Phys. Rev. B
51
,
4347
(
1995
).
6.
J. K.
Jain
,
Phys. Rev. Lett.
63
,
199
(
1989
).
7.
A.
Lopez
and
E.
Fradkin
,
Phys. Rev. B
44
,
5246
(
1991
).
8.
B. I.
Halperin
,
P. A.
Lee
, and
N.
Read
,
Phys. Rev. B
47
,
7312
(
1993
).
9.
D.
Yoshioka
,
A. H.
MacDonald
, and
S. M.
Girvin
,
Phys. Rev. B
39
,
1932
(
1989
).
10.
A. L.
Zazunov
and
D. V.
Fil
, Fiz. Nizk. Temp. 23, 1345 (1997) [
Low Temp. Phys.
23
,
1010
(
1997
).
11.
D. V.
Fil
,
Functional Materials
5
,
14
(
1998
).
12.
Y. H.
Chen
,
F.
Wilczek
,
E.
Witten
, and
B. I.
Halperin
,
Int. J. Mod. Phys. B
3
,
1001
(
1989
).
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