-
4
-
-
5144235154
-
-
K.-S. Liu and M.E. Fisher, J. Low Temp. Phys. 10, 655 (1972)
-
K.-S. Liu and M.E. Fisher, J. Low Temp. Phys. 10, 655 (1972).
-
-
-
-
5
-
-
0031035314
-
-
S.-C. Zhang, Science 275, 1089 (1997)
-
S.-C. Zhang, Science 275, 1089 (1997).
-
-
-
-
6
-
-
0000600627
-
-
S.-C. Zhang, J.-P. Hu, E. Arrigoni, W. Hanke, and A. Auerbach, Phys. Rev. B 60, 13 070 (1999)
-
S.-C. Zhang, J.-P. Hu, E. Arrigoni, W. Hanke, and A. Auerbach, Phys. Rev. B 60, 13 070 (1999).
-
-
-
-
8
-
-
0035285476
-
-
S. Chandrasekharan, V. Chudnovsky, B. Schlittgen, and U.-J. Wiese, Nucl. Phys. B (Proc. Suppl.) 94, 449 (2001);
-
(2001)
Nucl. Phys. B (Proc. Suppl.)
, vol.94
, pp. 449
-
-
Chandrasekharan, S.1
Chudnovsky, V.2
Schlittgen, B.3
-
9
-
-
85038967288
-
-
hep-ph/0003214 (unpublished)
-
S. Chandrasekharan and U.-J. Wiese, hep-ph/0003214 (unpublished).
-
-
-
Chandrasekharan, S.1
-
10
-
-
85038888792
-
-
The competing order parameters are the four-component order parameter for chiral symmetry breaking and the six-component order parameter for color symmetry breaking
-
The competing order parameters are the four-component order parameter for chiral symmetry breaking and the six-component order parameter for color symmetry breaking.
-
-
-
-
13
-
-
0012511018
-
-
L.M. Corliss, J.M. Hastings, W. Kunnmann, R.J. Begum, M.F. Collins, E. Gurewitz, and D. Mukamel, Phys. Rev. B 25, 245 (1981).
-
(1981)
Phys. Rev. B
, vol.25
, pp. 245
-
-
Corliss, L.M.1
Hastings, J.M.2
Kunnmann, W.3
Begum, R.J.4
Collins, M.F.5
Gurewitz, E.6
Mukamel, D.7
-
14
-
-
0342501759
-
-
J.-P. Hu and S.-C. Zhang, Physica C 341, 93 (2000)
-
J.-P. Hu and S.-C. Zhang, Physica C 341, 93 (2000).
-
-
-
-
17
-
-
85038894802
-
-
A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and M.S. Green (Academic Press, New York, 1976), Vol. 6, p. 357
-
A. Aharony, in Phase Transitions and Critical Phenomena, edited by C. Domb and M.S. Green (Academic Press, New York, 1976), Vol. 6, p. 357.
-
-
-
-
20
-
-
85038932147
-
-
cond-mat/0201576 (unpublished)
-
A. Aharony, cond-mat/0201576 (unpublished).
-
-
-
Aharony, A.1
-
28
-
-
0036654643
-
-
B. Khaykovich, Y.S. Lee, R.W. Erwin, S.-H. Lee, S. Wakamoto, K.J. Thomas, M.A. Kastner, and R.J. Birgeneau, Phys. Rev. B 66, 014528 (2002)
-
B. Khaykovich, Y.S. Lee, R.W. Erwin, S.-H. Lee, S. Wakamoto, K.J. Thomas, M.A. Kastner, and R.J. Birgeneau, Phys. Rev. B 66, 014528 (2002).
-
-
-
-
29
-
-
0000015257
-
-
Y.S. Lee, R.J. Birgeneau, M.A. Kastner, Y. Endoh, S. Wakimoto, K. Yamada, R.W. Erwin, S.-H. Lee, and G. Shirane, Phys. Rev. B 60, 3643 (1999)
-
Y.S. Lee, R.J. Birgeneau, M.A. Kastner, Y. Endoh, S. Wakimoto, K. Yamada, R.W. Erwin, S.-H. Lee, and G. Shirane, Phys. Rev. B 60, 3643 (1999).
-
-
-
-
30
-
-
0034450890
-
-
S. Katano, M. Sato, K. Yamada, T. Suzuki, and T. Fukase, Phys. Rev. B 62, R14 677 (2000).
-
(2000)
Phys. Rev. B
, vol.62
, pp. R14 677
-
-
Katano, S.1
Sato, M.2
Yamada, K.3
Suzuki, T.4
Fukase, T.5
-
31
-
-
0036537258
-
-
R.I. Miller, R.F. Kiefl, J.H. Brewer, J.E. Sonier, J. Chakhalian, S. Dunsiger, G.D. Morris, A.N. Price, D.A. Bonn, W.H. Hardy, and R. Liang, Phys. Rev. Lett. 88, 137002 (2002).
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 137002
-
-
Miller, R.I.1
Kiefl, R.F.2
Brewer, J.H.3
Sonier, J.E.4
Chakhalian, J.5
Dunsiger, S.6
Morris, G.D.7
Price, A.N.8
Bonn, D.A.9
Hardy, W.H.10
Liang, R.11
-
32
-
-
0035793895
-
-
B. Lake, G. Aeppli, K.N. Clausen, D.F. McMorrow, K. Lefmann, N.E. Hussey, N. Mangkorntong, M. Nohara, H. Takagi, T.E. Mason, and A. Schröder, Science 291, 1759 (2001).
-
(2001)
Science
, vol.291
, pp. 1759
-
-
Lake, B.1
Aeppli, G.2
Clausen, K.N.3
McMorrow, D.F.4
Lefmann, K.5
Hussey, N.E.6
Mangkorntong, N.7
Nohara, M.8
Takagi, H.9
Mason, T.E.10
Schröder, A.11
-
33
-
-
33646600293
-
-
G. Aeppli, T.E. Mason, S.M. Hayden, H.A. Mook, and J. Kulda, Science 288, 475 (2000).
-
(2000)
Science
, vol.288
, pp. 475
-
-
Aeppli, G.1
Mason, T.E.2
Hayden, S.M.3
Mook, H.A.4
Kulda, J.5
-
34
-
-
85038956688
-
-
A different claim has been recently reported in Ref. 35, starting from the projected SO(5) model. Using the typical values of the parameters characterizing the breaking of the O(5) symmetry and the crossover exponent at the O(5) FP, they argued that crossover effects from the O(5) behavior should be observable only for (Formula presented) i.e., in an extremely small interval of reduced temperatures. This fact led the authors to conclude that the multicritical behavior is effectively dominated by the O(5) FP and that it is practically impossible to observe both experimentally and numerically the flow out of the symmetric O(5) FP. In order to obtain the above-reported estimate of (Formula presented) they computed the crossover exponent from its (Formula presented) approximation (Ref. 3,), i.e., (Formula presented) and (Formula presented) thus (Formula presented) setting (Formula presented) Unfortunately, the actual value of (Formula presented) is much larger: (Formula presented) Taking for granted the arguments leading to the estimate (Formula presented) one can easily see that, using the actual value of (Formula presented) the crossover reduced temperature (Formula presented) would change from (Formula presented) to (Formula presented) where (Formula presented) Taking into account that this is a very rough estimate, which may easily miss one order of magnitude, one cannot exclude the possibility of observing experimentally and numerically the unstable flow towards the eventual critical behavior, even in systems with a moderately small breaking of the O(5) symmetry at the multicritical point
-
A different claim has been recently reported in Ref. 35, starting from the projected SO(5) model. Using the typical values of the parameters characterizing the breaking of the O(5) symmetry and the crossover exponent at the O(5) FP, they argued that crossover effects from the O(5) behavior should be observable only for (Formula presented) i.e., in an extremely small interval of reduced temperatures. This fact led the authors to conclude that the multicritical behavior is effectively dominated by the O(5) FP and that it is practically impossible to observe both experimentally and numerically the flow out of the symmetric O(5) FP. In order to obtain the above-reported estimate of (Formula presented) they computed the crossover exponent from its (Formula presented) approximation (Ref. 3,), i.e., (Formula presented) and (Formula presented) thus (Formula presented) setting (Formula presented) Unfortunately, the actual value of (Formula presented) is much larger: (Formula presented) Taking for granted the arguments leading to the estimate (Formula presented) one can easily see that, using the actual value of (Formula presented) the crossover reduced temperature (Formula presented) would change from (Formula presented) to (Formula presented) where (Formula presented) Taking into account that this is a very rough estimate, which may easily miss one order of magnitude, one cannot exclude the possibility of observing experimentally and numerically the unstable flow towards the eventual critical behavior, even in systems with a moderately small breaking of the O(5) symmetry at the multicritical point.
-
-
-
-
37
-
-
85038957933
-
-
cond-mat/0207528, version 5 (unpublished)
-
A. Dorneich, E. Arrigoni, M. Jöstingmeier, W. Hanke, and S.-C. Zhang, cond-mat/0207528, version 5 (unpublished).
-
-
-
Dorneich, A.1
Arrigoni, E.2
Jöstingmeier, M.3
Hanke, W.4
-
40
-
-
85038905902
-
-
H. Kleinert and V. Schulte-Frohlinde, Critical Properties of (Formula presented)-Theories (World Scientific, Singapore, 2001)
-
H. Kleinert and V. Schulte-Frohlinde, Critical Properties of (Formula presented)-Theories (World Scientific, Singapore, 2001).
-
-
-
-
41
-
-
24444448455
-
-
K.G. Chetyrkin, S.G. Gorishny, S.A. Larin, and F.V. Tkachov, Phys. Lett. 132B, 351 (1983).
-
(1983)
Phys. Lett.
, vol.132B
, pp. 351
-
-
Chetyrkin, K.G.1
Gorishny, S.G.2
Larin, S.A.3
Tkachov, F.V.4
-
42
-
-
0002761243
-
-
H. Kleinert, J. Neu, V. Schulte-Frohlinde, K.G. Chetyrkin, and S.A. Larin, Phys. Lett. B 272, 39 (1991);
-
(1991)
Phys. Lett. B
, vol.272
, pp. 39
-
-
Kleinert, H.1
Neu, J.2
Schulte-Frohlinde, V.3
Chetyrkin, K.G.4
Larin, S.A.5
-
47
-
-
85038965731
-
-
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 4th ed. (Clarendon Press, Oxford, 2001)
-
J. Zinn-Justin, Quantum Field Theory and Critical Phenomena, 4th ed. (Clarendon Press, Oxford, 2001).
-
-
-
-
50
-
-
0002633533
-
-
Note that in two dimensions the (Formula presented) fixed point is still stable for (Formula presented) since the spin-(Formula presented) perturbation is irrelevant in this case [R.A. Pelcovits and D.R. Nelson, Phys. Lett. 57A, 23 (1976)]. For (Formula presented) the cubic and higher-order spin perturbations are marginal.
-
(1976)
Phys. Lett.
, vol.57A
, pp. 23
-
-
Pelcovits, R.A.1
Nelson, D.R.2
-
55
-
-
0000493586
-
-
S.-k. Ma, Phys. Rev. A 10, 1818 (1974)
-
S.-k. Ma, Phys. Rev. A 10, 1818 (1974).
-
-
-
-
60
-
-
0034896590
-
-
M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 63, 214503 (2001).
-
(2001)
Phys. Rev. B
, vol.63
, pp. 214503
-
-
Campostrini, M.1
Hasenbusch, M.2
Pelissetto, A.3
Rossi, P.4
Vicari, E.5
-
63
-
-
0036537795
-
-
M. Campostrini, M. Hasenbusch, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. B 65, 144520 (2002).
-
(2002)
Phys. Rev. B
, vol.65
, pp. 144520
-
-
Campostrini, M.1
Hasenbusch, M.2
Pelissetto, A.3
Rossi, P.4
Vicari, E.5
-
64
-
-
0001598632
-
-
In order to obtain field-theory estimates of the critical exponents for the three-dimensional O(5) universality class, we analyzed the available six-loop fixed-dimension expansions reported in S.A. Antonenko and A.I. Sokolov, Phys. Rev. E 51, 1894 (1995) and the five-loop (Formula presented) expansions reported in Refs. 39, and 40,. Using the conformal mapping method (Ref. 42,), we obtained (Formula presented) (Formula presented) from the fixed-dimension expansion and (Formula presented) (Formula presented) from the (Formula presented) expansion.
-
(1995)
Phys. Rev. E
, vol.51
, pp. 1894
-
-
Antonenko, S.A.1
Sokolov, A.I.2
-
67
-
-
85038948878
-
-
R. Folk, Yu. Holovatch, and T. Yavors’kii, Phys. Rev. B 61, 15 114 (2000)
-
R. Folk, Yu. Holovatch, and T. Yavors’kii, Phys. Rev. B 61, 15 114 (2000).
-
-
-
-
73
-
-
0036538031
-
-
M. Tissier, D. Mouhanna, J. Vidal, and B. Delamotte, Phys. Rev. B 65, 140402 (2002).
-
(2002)
Phys. Rev. B
, vol.65
, pp. 140402
-
-
Tissier, M.1
Mouhanna, D.2
Vidal, J.3
Delamotte, B.4
-
76
-
-
85038915776
-
-
The same analysis can be performed in two dimensions: the DFP turns out to be stable for (Formula presented) (Formula presented) and (Formula presented) (Formula presented)
-
The same analysis can be performed in two dimensions: the DFP turns out to be stable for (Formula presented) (Formula presented) and (Formula presented) (Formula presented)
-
-
-
-
77
-
-
0000356767
-
-
M. Campostrini, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. E 60, 3526 (1999).
-
(1999)
Phys. Rev. E
, vol.60
, pp. 3526
-
-
Campostrini, M.1
Pelissetto, A.2
Rossi, P.3
Vicari, E.4
-
78
-
-
37649030949
-
-
M. Campostrini, A. Pelissetto, P. Rossi, and E. Vicari, Phys. Rev. E 65, 066127 (2002).
-
(2002)
Phys. Rev. E
, vol.65
, pp. 66127
-
-
Campostrini, M.1
Pelissetto, A.2
Rossi, P.3
Vicari, E.4
-
83
-
-
4243686394
-
-
C.C. Becerra, N.F. Oliveira, Jr., A. Paduan-Filho, W. Figueiredo, and M.V.P. Souza, Phys. Rev. B 38, 6887 (1988).
-
(1988)
Phys. Rev. B
, vol.38
, pp. 6887
-
-
Becerra, C.C.1
Oliveira, N.F.2
Paduan-Filho, A.3
Figueiredo, W.4
Souza, M.V.P.5
-
86
-
-
85038889450
-
-
The projected SO(5) model (Ref. 6,) was introduced to overcome some inconsistencies between the original SO(5) theory and the physics of the Mott insulating gap
-
The projected SO(5) model (Ref. 6,) was introduced to overcome some inconsistencies between the original SO(5) theory and the physics of the Mott insulating gap.
-
-
-
-
88
-
-
0034694638
-
-
I. Martin, G. Ortiz, A.V. Balatsky, and A.R. Bishop, Int. J. Mod. Phys. B 14, 3567 (2000).
-
(2000)
Int. J. Mod. Phys. B
, vol.14
, pp. 3567
-
-
Martin, I.1
Ortiz, G.2
Balatsky, A.V.3
Bishop, A.R.4
|