-
1
-
-
0000211878
-
-
1364-5021 10.1098/rspa.1963.0204
-
J. Hubbard, Proc. R. Soc. London, Ser. A 1364-5021 10.1098/rspa.1963.0204 276, 238 (1963).
-
(1963)
Proc. R. Soc. London, Ser. A
, vol.276
, pp. 238
-
-
Hubbard, J.1
-
2
-
-
0003891473
-
-
in edited by G. T. Rado and H. Suhl (Academic, New York
-
C. Herring, in Magnetism, edited by, G. T. Rado, and, H. Suhl, (Academic, New York, 1966), Vol. 4.
-
(1966)
Magnetism
-
-
Herring, C.1
-
3
-
-
35949011563
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.62.324
-
W. Metzner and D. Vollhardt, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.324 62, 324 (1989).
-
(1989)
Phys. Rev. Lett.
, vol.62
, pp. 324
-
-
Metzner, W.1
Vollhardt, D.2
-
4
-
-
0030528685
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.68.13
-
Antoine Georges, Gabriel Kotliar, Werner Krauth, and Marcelo J. Rozenberg, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.68.13 68, 13 (1996).
-
(1996)
Rev. Mod. Phys.
, vol.68
, pp. 13
-
-
Georges, A.1
Kotliar, G.2
Krauth, W.3
Rozenberg, M.J.4
-
5
-
-
64149120944
-
-
RPPHAG 0034-4885 10.1088/0034-4885/72/3/036501
-
P. Phillips, T.-P. Choy, and R. G. Leigh, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/72/3/036501 72, 036501 (2009);
-
(2009)
Rep. Prog. Phys.
, vol.72
, pp. 036501
-
-
Phillips, P.1
Choy, T.-P.2
Leigh, R.G.3
-
6
-
-
37649032821
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.69.245104
-
T. D. Stanescu and P. Phillips, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.69.245104 69, 245104 (2004).
-
(2004)
Phys. Rev. B
, vol.69
, pp. 245104
-
-
Stanescu, T.D.1
Phillips, P.2
-
8
-
-
77954820833
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.81.045121
-
B. S. Shastry, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.81.045121 81, 045121 (2010).
-
(2010)
Phys. Rev. B
, vol.81
, pp. 045121
-
-
Shastry, B.S.1
-
9
-
-
0023646228
-
-
SCIEAS 0036-8075 10.1126/science.235.4793.1196
-
P. W. Anderson, Science SCIEAS 0036-8075 10.1126/science.235.4793.1196 235, 1196 (1987);
-
(1987)
Science
, vol.235
, pp. 1196
-
-
Anderson, P.W.1
-
10
-
-
0003472676
-
-
Princeton University Press, Princeton, NJ
-
The Theory of Superconductivity (Princeton University Press, Princeton, NJ, 1997).
-
(1997)
The Theory of Superconductivity
-
-
-
11
-
-
77249128498
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.104.080401
-
N. Strohmaier, D. Greif, R. Jordens, L. Tarruell, H. Moritz, T. Esslinger, R. Sensarma, D. Pekker, E. Altman, and E. Demler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.080401 104, 080401 (2010).
-
(2010)
Phys. Rev. Lett.
, vol.104
, pp. 080401
-
-
Strohmaier, N.1
Greif, D.2
Jordens, R.3
Tarruell, L.4
Moritz, H.5
Esslinger, T.6
Sensarma, R.7
Pekker, D.8
Altman, E.9
Demler, E.10
-
12
-
-
78650825659
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.82.224302
-
R. Sensarma, D. Pekker, E. Altman, E. Demler, N. Strohmaier, D. Greif, R. Jordens, L. Tarruell, H. Moritz, and T. Esslinger, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.82.224302 82, 224302 (2010).
-
(2010)
Phys. Rev. B
, vol.82
, pp. 224302
-
-
Sensarma, R.1
Pekker, D.2
Altman, E.3
Demler, E.4
Strohmaier, N.5
Greif, D.6
Jordens, R.7
Tarruell, L.8
Moritz, H.9
Esslinger, T.10
-
14
-
-
0000541030
-
-
PTPKAV 0033-068X 10.1143/PTP.30.275
-
J. Kanamori, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.30.275 30, 275 (1963).
-
(1963)
Prog. Theor. Phys.
, vol.30
, pp. 275
-
-
Kanamori, J.1
-
15
-
-
35949035181
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.29.1600
-
G. Horowitz and D. Jacobi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.29.1600 29, 1600 (1972).
-
(1972)
Phys. Rev. Lett.
, vol.29
, pp. 1600
-
-
Horowitz, G.1
Jacobi, D.2
-
17
-
-
4243521082
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.65.1032
-
J. R. Engelbrecht and M. Randeria, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.65.1032 65, 1032 (1990).
-
(1990)
Phys. Rev. Lett.
, vol.65
, pp. 1032
-
-
Engelbrecht, J.R.1
Randeria, M.2
-
18
-
-
0003974685
-
-
Prentice-Hall, Englewood Cliffs, NJ
-
A. A. Abrikosov, L. Gorkov, and I. Dzyaloshinski, Methods of Quantum Field Theory in Statistical Physics (Prentice-Hall, Englewood Cliffs, NJ, 1963).
-
(1963)
Methods of Quantum Field Theory in Statistical Physics
-
-
Abrikosov, A.A.1
Gorkov, L.2
Dzyaloshinski, I.3
-
20
-
-
0002008560
-
-
PHRVAO 0031-899X 10.1103/PhysRev.100.36
-
K. A. Brueckner, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.100.36 100, 36 (1955).
-
(1955)
Phys. Rev.
, vol.100
, pp. 36
-
-
Brueckner, K.A.1
-
21
-
-
36149004969
-
-
PHRVAO 0031-899X 10.1103/PhysRev.106.1135
-
T. D. Lee, K. Huang, and C. N. Yang, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.106.1135 106, 1135 (1957).
-
(1957)
Phys. Rev.
, vol.106
, pp. 1135
-
-
Lee, T.D.1
Huang, K.2
Yang, C.N.3
-
22
-
-
0012560708
-
-
PHRVAO 0031-899X 10.1103/PhysRev.157.295
-
A. B. Harris and R. V. Lange, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.157.295 157, 295 (1967).
-
(1967)
Phys. Rev.
, vol.157
, pp. 295
-
-
Harris, A.B.1
Lange, R.V.2
-
23
-
-
16744368353
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.66.014539
-
J. J. Deisz, D. W. Hess, and J. W. Serene, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.66.014539 66, 014539 (2002).
-
(2002)
Phys. Rev. B
, vol.66
, pp. 014539
-
-
Deisz, J.J.1
Hess, D.W.2
Serene, J.W.3
-
24
-
-
33847686755
-
-
PHRVAO 0031-899X 10.1103/PhysRev.118.1417
-
J. M. Luttinger and J. C. Ward, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.118.1417 118, 1417 (1960);
-
(1960)
Phys. Rev.
, vol.118
, pp. 1417
-
-
Luttinger, J.M.1
Ward, J.C.2
-
25
-
-
36149026363
-
-
PHRVAO 0031-899X 10.1103/PhysRev.119.1153
-
J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.119.1153 119, 1153 (1960);
-
(1960)
Phys. Rev.
, vol.119
, pp. 1153
-
-
Luttinger, J.M.1
-
26
-
-
36149005795
-
-
PHRVAO 0031-899X 10.1103/PhysRev.121.942
-
J. M. Luttinger, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.121.942 121, 942 (1961).
-
(1961)
Phys. Rev.
, vol.121
, pp. 942
-
-
Luttinger, J.M.1
-
28
-
-
3343012000
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.64.1839
-
P. W. Anderson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64. 1839 64, 1839 (1990).
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 1839
-
-
Anderson, P.W.1
-
29
-
-
79961108237
-
-
In Ref. [7], Eq. (D4), it is argued that the real part of the self-energy in the range of frequencies W ω U must have the behavior ReΣ(k,ω)=-n2-nω+const. Hence, at a density n=0.0414, we expect ReΣ(k,ω)=-0.0212ω+const., as found numerically.
-
In Ref. [7], Eq. (D4), it is argued that the real part of the self-energy in the range of frequencies W ω U must have the behavior Re Σ (k, ω) = - n 2 - n ω + const. Hence, at a density n = 0.0414, we expect Re Σ (k, ω) = - 0.0212 ω + const., as found numerically.
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-
-
30
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-
79961114698
-
-
2)=Π(Q) 1+UΠ(Q)
-
This is easy to see from the definition of the scattering amplitude and its result in the ladder scheme:
-
-
-
-
31
-
-
79961117093
-
-
Π)2
-
where we used Eq.. The spectral density of γ is now easy to find
-
-
-
-
32
-
-
79961118192
-
-
leading to the quoted result.
-
leading to the quoted result.
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-
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-
33
-
-
33646021840
-
-
PLRBAQ 1098-0121 10.1103/PhysRevB.34.6420
-
T. M. Rice and K. Ueda, Phys. Rev. B PLRBAQ 1098-0121 10.1103/PhysRevB.34.6420 34, 6420 (1986).
-
(1986)
Phys. Rev. B
, vol.34
, pp. 6420
-
-
Rice, T.M.1
Ueda, K.2
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