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3
-
-
77954949017
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-
we ignore "spin factors" in this Rapid Communication
-
we ignore "spin factors" in this Rapid Communication.
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4
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-
15744387965
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10.1103/PhysRev.121.1251;
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J. M. Luttinger, Phys. Rev. 121, 1251 (1961) 10.1103/PhysRev.121.1251
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Luttinger, J.M.1
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36149047850
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See, e.g., M. Elliot, T. Ellis, and M. Springford, J. Phys. F 10, 2681 (1980) 10.1088/0305-4608/10/12/010
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Elliot, M.1
Ellis, T.2
Springford, M.3
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10
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39749110690
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or, 10.1016/j.physb.2007.10.021
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or A. McCollam, J.-S. Xia, J. Flouquet, D. Aoki, and S. R. Julian, Physica B 403, 717 (2008). 10.1016/j.physb.2007.10.021
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Physica B
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McCollam, A.1
Xia, J.-S.2
Flouquet, J.3
Aoki, D.4
Julian, S.R.5
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11
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0003414482
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See, e.g., edited by R. E. Prange and S. M. Girvin (Springer-Verlag, New York
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See, e.g., The Quantum Hall Effect, edited by, R. E. Prange, and, S. M. Girvin, (Springer-Verlag, New York, 1990).
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(1990)
The Quantum Hall Effect
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12
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43449113931
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For YBCO, see, 10.1103/PhysRevLett.100.187005;
-
For YBCO, see C. Jaudet, D. Vignolles, A. Audouard, J. Levallois, D. LeBoeuf, N. Doiron-Leyraud, B. Vignolle, M. Nardone, A. Zitouni, R. Liang, D. A. Bonn, W. N. Hardy, L. Taillefer, and C. Proust, Phys. Rev. Lett. 100, 187005 (2008) 10.1103/PhysRevLett.100.187005
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Jaudet, C.1
Vignolles, D.2
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Levallois, J.4
Leboeuf, D.5
Doiron-Leyraud, N.6
Vignolle, B.7
Nardone, M.8
Zitouni, A.9
Liang, R.10
Bonn, D.A.11
Hardy, W.N.12
Taillefer, L.13
Proust, C.14
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13
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70349902793
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10.1103/PhysRevLett.103.157003;
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A. Audouard, C. Jaudet, D. Vignolles, R. Liang, D. A. Bonn, W. N. Hardy, L. Taillefer, and C. Proust, Phys. Rev. Lett. 103, 157003 (2009) 10.1103/PhysRevLett.103.157003
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Audouard, A.1
Jaudet, C.2
Vignolles, D.3
Liang, R.4
Bonn, D.A.5
Hardy, W.N.6
Taillefer, L.7
Proust, C.8
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14
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54149085401
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for Tl-2201, see, 10.1038/nature07323
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for T l - 2201, see B. Vignolle, A. Carrington, R. A. Cooper, M. M. J. French, A. P. Mackenzie, C. Jaudet, D. Vignolles, C. Proust, and N. E. Hussey, Nature (London) 455, 952 (2008). 10.1038/nature07323
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Vignolle, B.1
Carrington, A.2
Cooper, R.A.3
French, M.M.J.4
MacKenzie, A.P.5
Jaudet, C.6
Vignolles, D.7
Proust, C.8
Hussey, N.E.9
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15
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0344121734
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10.1080/00018730310001621737;
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C. Bergemann, A. P. Mackenzie, S. R. Julian, D. Forsythe, and E. Ohmichi, Adv. Phys. 52, 639 (2003) 10.1080/00018730310001621737
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Bergemann, C.1
MacKenzie, A.P.2
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33745270041
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10.1103/PhysRevLett.96.246402
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F. Baumberger, N. J. C. Ingle, W. Meevasana, K. M. Shen, D. H. Lu, R. S. Perry, A. P. Mackenzie, Z. Hussain, D. J. Singh, and Z.-X. Shen, Phys. Rev. Lett. 96, 246402 (2006). 10.1103/PhysRevLett.96.246402
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Baumberger, F.1
Ingle, N.J.C.2
Meevasana, W.3
Shen, K.M.4
Lu, D.H.5
Perry, R.S.6
MacKenzie, A.P.7
Hussain, Z.8
Singh, D.J.9
Shen, Z.-X.10
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17
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50249122122
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10.1088/1367-2630/10/8/083032
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J. Wosnitza, V. M. Gvozdikov, J. Hagel, O. Ignatchik, B. Bergk, P. J. Meeson, J. A. Schlueter, H. Davis, R. W. Winter, and G. L. Gard, New J. Phys. 10, 083032 (2008). 10.1088/1367-2630/10/8/083032
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Wosnitza, J.1
Gvozdikov, V.M.2
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Bergk, B.5
Meeson, P.J.6
Schlueter, J.A.7
Davis, H.8
Winter, R.W.9
Gard, G.L.10
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19
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0000315391
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-
For exact 2d results for large Landau levels, see, 10.1103/PhysRevB.54. 5006
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For exact 2d results for large Landau levels, see R. Moessner and J. T. Chalker, Phys. Rev. B 54, 5006 (1996). 10.1103/PhysRevB.54.5006
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(1996)
Phys. Rev. B
, vol.54
, pp. 5006
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Moessner, R.1
Chalker, J.T.2
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20
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0014795472
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-
Such "nearly antiferromagnetic spin-fluctuation" models for conducting systems go back to, 10.1103/PhysRevLett.24.1433;
-
Such "nearly antiferromagnetic spin-fluctuation" models for conducting systems go back to T. Moriya, Phys. Rev. Lett. 24, 1433 (1970). They have been applied by many authors to high- T c systems 10.1103/PhysRevLett.24. 1433
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(1970)
Phys. Rev. Lett.
, vol.24
, pp. 1433
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-
Moriya, T.1
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21
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77953008840
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early papers are, 10.1143/JPSJ.59.2905;
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early papers are T. Moriya, Y. Takahashi, and K. Ueda, J. Phys. Soc. Jpn. 59, 2905 (1990) 10.1143/JPSJ.59.2905
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(1990)
J. Phys. Soc. Jpn.
, vol.59
, pp. 2905
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Moriya, T.1
Takahashi, Y.2
Ueda, K.3
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23
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-
0001633427
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-
Vertex corrections to Eq. for the spin-fluctuation model change the numerical results, but not the basic form, of ImΣ. For the NFL theory, perturbation expansions can be controlled by introducing N species of fermion, and doing either a 1/N expansion (see, 10.1016/0550-3213(94)90449-9;
-
Vertex corrections to Eq. for the spin-fluctuation model change the numerical results, but not the basic form, of I m Σ. For the NFL theory, perturbation expansions can be controlled by introducing N species of fermion, and doing either a 1 / N expansion (see J. Polchinski, Nucl. Phys B 422, 617 (1994) 10.1016/0550-3213(94)90449-9
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(1994)
Nucl. Phys B
, vol.422
, pp. 617
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Polchinski, J.1
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24
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72449170192
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10.1103/PhysRevB.80.165102;
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S.-S. Lee, Phys. Rev. B 80, 165102 (2009), or an eikonal expansion 10.1103/PhysRevB.80.165102
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(2009)
Phys. Rev. B
, vol.80
, pp. 165102
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Lee, S.-S.1
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25
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3342929310
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(see, 10.1103/PhysRevLett.71.2118
-
(see D. V. Khveshchenko and P. C. E. Stamp, Phys. Rev. Lett. 71, 2118 (1993). Calculation of dHvA oscillations then involves simultaneous expansion in ω c / μ1, and either 1 / N or N. Here we take the ω c / μ expansion as primary (typically N = 2 anyway), and ignore vertex corrections-elsewhere we will give results in a 1 / N expansion. 10.1103/PhysRevLett.71.2118
-
(1993)
Phys. Rev. Lett.
, vol.71
, pp. 2118
-
-
Khveshchenko, D.V.1
Stamp, P.C.E.2
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26
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77954936467
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The self-energy Σ (z), and the coefficients Σr (z), can be found analytically for the spin-fluctuation model as a rather cumbersome function of elliptic integrals and exponential integrals
-
The self-energy Σ (z), and the coefficients Σ r (z), can be found analytically for the spin-fluctuation model as a rather cumbersome function of elliptic integrals and exponential integrals.
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27
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0000083632
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Models in which fermions couple to fluctuation propagators of form have been studied extensively in high- Tc systems and for the FQHL; see, e.g., 10.1103/PhysRevB.46.5621;
-
Models in which fermions couple to fluctuation propagators of form have been studied extensively in high- T c systems and for the FQHL; see, e.g., P. A. Lee and N. Nagaosa, Phys. Rev. B 46, 5621 (1992) 10.1103/PhysRevB.46.5621
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(1992)
Phys. Rev. B
, vol.46
, pp. 5621
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Lee, P.A.1
Nagaosa, N.2
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29
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0003851678
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For Lommel functions, see, Cambridge University Press, New York
-
For Lommel functions, see G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, New York, 1952), Sec. 10.7. The function S 2 (μ, ν; z) is also written as S μ, ν (z) in the literature.
-
(1952)
A Treatise on the Theory of Bessel Functions
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Watson, G.N.1
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31
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77954951031
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It is convenient to do field-theoretical calculations at constant μ. To find, e.g., M at constant N, we calculate F=Ω+μN, with N=-TrImG/π; then MN =-F/B. For this case μ will oscillate. Experiments are done under both conditions-however experiments in high- Tc systems have shown no sign yet of oscillations of μ
-
It is convenient to do field-theoretical calculations at constant μ. To find, e.g., M at constant N, we calculate F=Ω+μN, with N=-TrImG/π; then MN =-F/B. For this case μ will oscillate. Experiments are done under both conditions-however experiments in high- Tc systems have shown no sign yet of oscillations of μ.
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-
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32
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53249093496
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10.1143/JPSJ.58.1520
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K. Yamaji, J. Phys. Soc. Jpn. 58, 1520 (1989). 10.1143/JPSJ.58.1520
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(1989)
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, pp. 1520
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Yamaji, K.1
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33
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77954918629
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We neglect a much smaller contribution to the magnetization going as Ωr /Bcos (rAF /eB )
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We neglect a much smaller contribution to the magnetization going as Ωr /Bcos (rAF /eB ).
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