-
1
-
-
0001051762
-
-
JPHAC5 0305-4470 10.1088/0305-4470/15/6/035
-
T. Plefka, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/6/035 15, 1971 (1982).
-
(1982)
J. Phys. A
, vol.15
, pp. 1971
-
-
Plefka, T.1
-
2
-
-
4444384303
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.35.1792
-
D. Sherrington and S. Kirkpatrick, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.35.1792 35, 1972 (1975).
-
(1975)
Phys. Rev. Lett.
, vol.35
, pp. 1972
-
-
Sherrington, D.1
Kirkpatrick, S.2
-
4
-
-
32844470869
-
-
JPSOAW 0022-3719
-
V. Z. Vulovic, J. Phys. C JPSOAW 0022-3719 16, 2953 (1983).
-
(1983)
J. Phys. C
, vol.16
, pp. 2953
-
-
Vulovic, V.Z.1
-
6
-
-
33744665022
-
-
JCOMEL 0953-8984 10.1088/0953-8984/4/10/023
-
T. Yokoda, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/4/10/023 4, 2615 (1992);
-
(1992)
J. Phys.: Condens. Matter
, vol.4
, pp. 2615
-
-
Yokoda, T.1
-
7
-
-
25844449491
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.51.962
-
T. Yokoda, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.51.962 51, 962 (1995).
-
(1995)
Phys. Rev. B
, vol.51
, pp. 962
-
-
Yokoda, T.1
-
9
-
-
0033520898
-
-
JPHAC5 0305-4470
-
G. Biroli, J. Phys. A JPHAC5 0305-4470 48, 8365 (1999);
-
(1999)
J. Phys. A
, vol.48
, pp. 8365
-
-
Biroli, G.1
-
10
-
-
0034228741
-
-
JCOMEL 0953-8984 10.1088/0953-8984/12/29/309
-
G. Biroli, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/12/29/309 12, 6375 (2000).
-
(2000)
J. Phys.: Condens. Matter
, vol.12
, pp. 6375
-
-
Biroli, G.1
-
11
-
-
0034907214
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.64.014206
-
G. Biroli and L. F. Cugliandolo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.014206 64, 014206 (2000).
-
(2000)
Phys. Rev. B
, vol.64
, pp. 014206
-
-
Biroli, G.1
Cugliandolo, L.F.2
-
12
-
-
0003571050
-
-
World Scientific, Singapore
-
M. Mezard, G. Parisi, and M. A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987), and references therein.
-
(1987)
Spin Glass Theory and beyond
-
-
Mezard, M.1
Parisi, G.2
Virasoro, M.A.3
-
13
-
-
0004215583
-
-
Cambridge University Press, Cambridge, U.K.
-
K. H. Fisher and J. A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, U.K., 1991), and references therein.
-
(1991)
Spin Glasses
-
-
Fisher, K.H.1
Hertz, J.A.2
-
15
-
-
0004059061
-
-
edited by M. Opper and D. Saad (MIT Press, Cambridge, MA
-
Advanced Mean Field Methods: Theory and Practice, edited by, M. Opper, and, D. Saad, (MIT Press, Cambridge, MA, 2001).
-
(2001)
Advanced Mean Field Methods: Theory and Practice
-
-
-
16
-
-
0001143296
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.58.2302
-
T. Tanaka, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.2302 58, 2302 (1998);
-
(1998)
Phys. Rev. E
, vol.58
, pp. 2302
-
-
Tanaka, T.1
-
17
-
-
0034241901
-
-
NEUCEB 0899-7667
-
T. Tanaka, Neural Comput. NEUCEB 0899-7667 12, 1951 (2000);
-
(2000)
Neural Comput.
, vol.12
, pp. 1951
-
-
Tanaka, T.1
-
18
-
-
0034180315
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.61.5658
-
H. J. Kappen and J. J. Spanjers, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.5658 61, 5658 (2000);
-
(2000)
Phys. Rev. E
, vol.61
, pp. 5658
-
-
Kappen, H.J.1
Spanjers, J.J.2
-
19
-
-
0034184823
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.61.4732
-
M. Yoshioka and M. Shiino, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.4732 61, 4732 (2000);
-
(2000)
Phys. Rev. E
, vol.61
, pp. 4732
-
-
Yoshioka, M.1
Shiino, M.2
-
23
-
-
0031558831
-
-
JPHAC5 0305-4470 10.1088/0305-4470/30/23/009
-
K. Nakanishi and H. Takayama, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/30/23/009 30, 8085 (1997).
-
(1997)
J. Phys. A
, vol.30
, pp. 8085
-
-
Nakanishi, K.1
Takayama, H.2
-
24
-
-
0001090290
-
-
JPHAC5 0305-4470 10.1088/0305-4470/24/9/024
-
A. Georges and J. S. Yedidia, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/24/9/024 24, 2173 (1991).
-
(1991)
J. Phys. A
, vol.24
, pp. 2173
-
-
Georges, A.1
Yedidia, J.S.2
-
25
-
-
0001310326
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.43.3475
-
A. Georges and J. S. Yedidia, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.43.3475 43, 3475 (1991).
-
(1991)
Phys. Rev. B
, vol.43
, pp. 3475
-
-
Georges, A.1
Yedidia, J.S.2
-
27
-
-
0032209410
-
-
PLEEE8 1063-651X 10.1103/PhysRevE.58.R5241
-
S. Lise, A. Maritan, and A. Pelizzola, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.58.R5241 58, R5241 (1998);
-
(1998)
Phys. Rev. E
, vol.58
, pp. 5241
-
-
Lise, S.1
Maritan, A.2
Pelizzola, A.3
-
29
-
-
0003325709
-
-
JPSOAW 0022-3719 10.1088/0022-3719/13/24/005
-
A. J. Bray and M. A. Moore, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/13/24/005 13, L655 (1980).
-
(1980)
J. Phys. C
, vol.13
, pp. 655
-
-
Bray, A.J.1
Moore, M.A.2
-
30
-
-
11644282880
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.80.389
-
D. R. Grempel and M. J. Rozenberg, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.389 80, 389 (1998);
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 389
-
-
Grempel, D.R.1
Rozenberg, M.J.2
-
31
-
-
0034894656
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.63.134406
-
A. Georges, O. Parcollet, and S. Sachdev, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.63.134406 63, 134406 (2001).
-
(2001)
Phys. Rev. B
, vol.63
, pp. 134406
-
-
Georges, A.1
Parcollet, O.2
Sachdev, S.3
-
32
-
-
32844468257
-
-
cond-mat/0302076.
-
M. Haque, e-print cond-mat/0302076.
-
-
-
Haque, M.1
-
33
-
-
0012113999
-
-
EPJBFY. 1434-6028. 10.1007/s100510170028
-
G. Baym, J.-P. Blaizot, M. Holzmann, F. Laloë, and D. Vautherin, Eur. Phys. J. B EPJBFY 1434-6028 10.1007/s100510170028 24, 107 (2001).
-
(2001)
Eur. Phys. J. B
, vol.24
, pp. 107
-
-
Baym, G.1
Blaizot, J.-P.2
Holzmann, M.3
Laloë, F.4
Vautherin, D.5
-
36
-
-
0037062356
-
-
EULEEJ 0295-5075 10.1209/epl/i2002-00457-7
-
T. Plefka, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2002-00457-7 58, 892 (2002);
-
(2002)
Europhys. Lett.
, vol.58
, pp. 892
-
-
Plefka, T.1
-
37
-
-
0036611813
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.65.224206
-
T. Plefka, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.224206 65, 224206 (2002).
-
(2002)
Phys. Rev. B
, vol.65
, pp. 224206
-
-
Plefka, T.1
-
38
-
-
64849113583
-
-
JUPSAU 0031-9015 10.1143/JPSJ.17.1100
-
R. Kubo, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.17.1100 17, 1100 (1962).
-
(1962)
J. Phys. Soc. Jpn.
, vol.17
, pp. 1100
-
-
Kubo, R.1
-
39
-
-
0001298570
-
-
IJQCB2 0020-7608 10.1002/(SICI)1097-461X(1998)66:5<377::AID-QUA4>3. 0.CO;2-S
-
K. Kladko and P. Fulde, Int. J. Quantum Chem. IJQCB2 0020-7608 10.1002/(SICI)1097-461X(1998)66:5<377::AID-QUA4>3.0.CO;2-S 66, 377 (1998).
-
(1998)
Int. J. Quantum Chem.
, vol.66
, pp. 377
-
-
Kladko, K.1
Fulde, P.2
-
40
-
-
0000447507
-
-
PTPKAV 0033-068X 10.1143/PTP.34.399
-
H. Mori, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.34.399 34, 399 (1965).
-
(1965)
Prog. Theor. Phys.
, vol.34
, pp. 399
-
-
Mori, H.1
-
42
-
-
21844512278
-
-
JPHAC5 0305-4470 10.1088/0305-4470/28/18/016
-
G. Parisi and M. Potters, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/28/18/016 28, 5267 (1995).
-
(1995)
J. Phys. A
, vol.28
, pp. 5267
-
-
Parisi, G.1
Potters, M.2
-
43
-
-
6344271396
-
-
JPSOAW 0022-3719 10.1088/0022-3719/14/19/013
-
A. J. Bray and M. A. Moore, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/14/19/013 14, 2629 (1981);
-
(1981)
J. Phys. C
, vol.14
, pp. 2629
-
-
Bray, A.J.1
Moore, M.A.2
-
44
-
-
19444367725
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.93.077201
-
J. Yeo and M. A. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.077201 93, 077201 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 077201
-
-
Yeo, J.1
Moore, M.A.2
-
45
-
-
34547346865
-
-
RMPHAT 0034-6861 10.1103/RevModPhys.53.385
-
T. A. Brody, J. Flores, J. B. French, P. A. Mello, A. Pandey, and S. S. M. Wong, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.53.385 53, 385 (1981).
-
(1981)
Rev. Mod. Phys.
, vol.53
, pp. 385
-
-
Brody, T.A.1
Flores, J.2
French, J.B.3
Mello, P.A.4
Pandey, A.5
Wong, S.S.M.6
-
46
-
-
32844468726
-
-
cond-mat/0310782;
-
T. Plefka, e-print cond-mat/0310782;
-
-
-
Plefka, T.1
-
47
-
-
0348140751
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.68.174401
-
A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.174401 68, 174401 (2003);
-
(2003)
Phys. Rev. B
, vol.68
, pp. 174401
-
-
Crisanti, A.1
Leuzzi, L.2
Parisi, G.3
Rizzo, T.4
-
48
-
-
42749107385
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.70.064423
-
A. Crisanti, L. Leuzzi, G. Parisi, and T. Rizzo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.064423 70, 064423 (2004);
-
(2004)
Phys. Rev. B
, vol.70
, pp. 064423
-
-
Crisanti, A.1
Leuzzi, L.2
Parisi, G.3
Rizzo, T.4
-
49
-
-
2342512050
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.92.120603
-
A. Cavagna, I. Giardina, and G. Parisi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.120603 92, 120603 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 120603
-
-
Cavagna, A.1
Giardina, I.2
Parisi, G.3
-
50
-
-
3242724047
-
-
PRLTAO 0031-9007 10.1103/PhysRevLett.92.087203
-
T. Aspelmeier, A. J. Bray, and M. A. Moore, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.087203 92, 087203 (2004).
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 087203
-
-
Aspelmeier, T.1
Bray, A.J.2
Moore, M.A.3
-
51
-
-
32844473960
-
-
note
-
From the experience for spin glass systems, (and compare Sec. 4) such arguments should be used with some care for projector-type contributions like the first-order terms UV. For positive values of U, however, the projector term has no influence on the lower end of the spectrum of χk k′.
-
-
-
-
52
-
-
0141562116
-
-
PRBMDO 0163-1829 10.1103/PhysRevB.45.1041
-
L. De Cesare, K. Lukierska-Walasek, I. Rabuffo, and K. Walasek, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.1041 45, 1041 (1992);
-
(1992)
Phys. Rev. B
, vol.45
, pp. 1041
-
-
De Cesare, L.1
Lukierska-Walasek, K.2
Rabuffo, I.3
Walasek, K.4
|