-
1
-
-
11144349296
-
-
note
-
s there is also the possibility that various other types of non-Fermi liquid states, distinct from those discussed here, could occur. None of these subtleties are relevant for the present discussion.
-
-
-
-
2
-
-
11144325921
-
-
note
-
All crystalline phases with an integer number of electrons per unit cell will here be called a "Wigner crystal" although this may actually refer to a host of distinct phases, which differ both in crystal (Ref. 18) and magnetic (Ref. 23) structure.
-
-
-
-
6
-
-
0001203001
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-
S. Marchenko, Sov. Phys. JETP 63, 1315 (1986); S. A. Langer, R. E, Goldstein, and D. P. Jackson, Phys. Rev. A 46, 4894 (1992).
-
(1986)
Sov. Phys. JETP
, vol.63
, pp. 1315
-
-
Marchenko, S.1
-
7
-
-
0000414718
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-
S. Marchenko, Sov. Phys. JETP 63, 1315 (1986); S. A. Langer, R. E, Goldstein, and D. P. Jackson, Phys. Rev. A 46, 4894 (1992).
-
(1992)
Phys. Rev. A
, vol.46
, pp. 4894
-
-
Langer, S.A.1
Goldstein, R.E.2
Jackson, D.P.3
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9
-
-
11144323966
-
-
note
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2 in the denominator of Eq. (1) has been introduced to cut off the logarithmic divergence at short distances.
-
-
-
-
11
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0027592522
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V. J. Emery and S. A. Kivelson, Physica (Amsterdam) 209, 597 (1993); U. Løw, V. J. Emery, K. Fabricius, and S. A. Kivelson, Phys. Rev. Lett. 72, 1918 (1994).
-
(1993)
Physica (Amsterdam)
, vol.209
, pp. 597
-
-
Emery, V.J.1
Kivelson, S.A.2
-
12
-
-
0001223227
-
-
V. J. Emery and S. A. Kivelson, Physica (Amsterdam) 209, 597 (1993); U. Løw, V. J. Emery, K. Fabricius, and S. A. Kivelson, Phys. Rev. Lett. 72, 1918 (1994).
-
(1994)
Phys. Rev. Lett.
, vol.72
, pp. 1918
-
-
Løw, U.1
Emery, V.J.2
Fabricius, K.3
Kivelson, S.A.4
-
13
-
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0042125238
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-
For a recent perspective, see, Y. Tokura, Phys. Today 56 (7), 50 (2003).
-
(2003)
Phys. Today
, vol.56
, Issue.7
, pp. 50
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-
Tokura, Y.1
-
21
-
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11144353517
-
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note
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±, one of which diverges at the transition, while the density difference Δn remains finite at the transition point.
-
-
-
-
23
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0034274804
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V. J. Emery, E. Fradkin, S. A. Kivelson, and T. C. Lubensky, Phys. Rev. Lett. 85, 2160 (2000); A. Vishwanath and D. Carpentier, ibid. 86, 676 (2001).
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 2160
-
-
Emery, V.J.1
Fradkin, E.2
Kivelson, S.A.3
Lubensky, T.C.4
-
24
-
-
0035130967
-
-
V. J. Emery, E. Fradkin, S. A. Kivelson, and T. C. Lubensky, Phys. Rev. Lett. 85, 2160 (2000); A. Vishwanath and D. Carpentier, ibid. 86, 676 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 676
-
-
Vishwanath, A.1
Carpentier, D.2
-
25
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11744249444
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-
and Ref. 20
-
For estimates of the exchange energy in the Wigner crystal, see M. Roger, Phys. Rev. B 30, 6432 (1984) and Ref. 20.
-
(1984)
Phys. Rev. B
, vol.30
, pp. 6432
-
-
Roger, M.1
-
31
-
-
11144303732
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note
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Existence of a supersolid phase in He crystals has not been proven. Existence of vacancies in the ground state in this case is of a quantum mechanical nature while on our case the existence of the liquid droplets embedded into the liquid is a consequence of the electrostatics.
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-
-
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32
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0035535326
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For a recent review, see, E. Abrahams, S. V. Kravchenko, and M. P. Sarachik, Rev. Mod. Phys. 73, 251 (2001).
-
(2001)
Rev. Mod. Phys.
, vol.73
, pp. 251
-
-
Abrahams, E.1
Kravchenko, S.V.2
Sarachik, M.P.3
-
34
-
-
0037098477
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-
For a recent experimental investigation of the effect of explicit symmetry breaking fields in quantum Hall nematics, see, K. B. Cooper, Phys. Rev. B 65, 241313 (2002).
-
(2002)
Phys. Rev. B
, vol.65
, pp. 241313
-
-
Cooper, K.B.1
-
35
-
-
1542683022
-
-
V. J. Emery, S. A. Kivelson, and O. Zachar, Phys. Rev. B 56, 6120 (1997); 59, 15 641 (1999).
-
(1997)
Phys. Rev. B
, vol.56
, pp. 6120
-
-
Emery, V.J.1
Kivelson, S.A.2
Zachar, O.3
-
36
-
-
1542683022
-
-
V. J. Emery, S. A. Kivelson, and O. Zachar, Phys. Rev. B 56, 6120 (1997); 59, 15 641 (1999).
-
(1999)
Phys. Rev. B
, vol.59
-
-
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