-
4
-
-
4244086766
-
-
In ignoring spin flips for the XY case, Millis et al. (Ref. 3) relied on the conclusions of W. Zwerger, A. T. Dorsey, and M. P. A. Fisher, Phys. Rev. B 34, 6518 (1986). There the authors studied the quantum dynamics of a resistively shunted Josephson junction and found that dissipation completely suppresses winding numbers (spin flips in our paper). The model we consider in Eq. (8) differs from that of Zwerger et al., for the dissipation naturally couples to the magnetization, M=M exp(iφ), and not to the angular velocity φ. For the action in Eq. (8) we find nonzero winding numbers are not suppressed.
-
(1986)
Phys. Rev. B
, vol.34
, pp. 6518
-
-
Zwerger, W.1
Dorsey, A.T.2
Fisher, M.P.A.3
-
5
-
-
0000905308
-
-
A. H. Castro-Neto, G. Castilla, and B. A. Jones, Phys. Rev. Lett. 81, 3531 (1998); A. H. Castro-Neto and B. A. Jones, Phys. Rev. B 62, 14975 (2000).
-
(1998)
Phys. Rev. Lett.
, vol.81
, pp. 3531
-
-
Castro-Neto, A.H.1
Castilla, G.2
Jones, B.A.3
-
6
-
-
0034450719
-
-
A. H. Castro-Neto, G. Castilla, and B. A. Jones, Phys. Rev. Lett. 81, 3531 (1998); A. H. Castro-Neto and B. A. Jones, Phys. Rev. B 62, 14975 (2000).
-
(2000)
Phys. Rev. B
, vol.62
, pp. 14975
-
-
Castro-Neto, A.H.1
Jones, B.A.2
-
8
-
-
36049060546
-
-
B. M. McCoy and T. T. Wu, Phys. Rev. 176, 631 (1968); B. M. McCoy, Phys. Rev. B 2, 2795 (1970).
-
(1968)
Phys. Rev.
, vol.176
, pp. 631
-
-
McCoy, B.M.1
Wu, T.T.2
-
9
-
-
33646658715
-
-
B. M. McCoy and T. T. Wu, Phys. Rev. 176, 631 (1968); B. M. McCoy, Phys. Rev. B 2, 2795 (1970).
-
(1970)
Phys. Rev. B
, vol.2
, pp. 2795
-
-
McCoy, B.M.1
-
10
-
-
0038221454
-
-
A. Schröder, G. Aeppli, R. Coldea, M. Adams, O. Stockert, H. v. Lohneysen, E. Bucher, R. Ramazashvili, and P. Coleman, Nature (London) 407, 351 (2000).
-
(2000)
Nature (London)
, vol.407
, pp. 351
-
-
Schröder, A.1
Aeppli, G.2
Coldea, R.3
Adams, M.4
Stockert, O.5
Lohneysen, H.V.6
Bucher, E.7
Ramazashvili, R.8
Coleman, P.9
-
11
-
-
0035950147
-
-
Q. Si, S. Rabello, K. Ingersent, and L. Smith, Nature (London) 413, 804 (2001).
-
(2001)
Nature (London)
, vol.413
, pp. 804
-
-
Si, Q.1
Rabello, S.2
Ingersent, K.3
Smith, L.4
-
13
-
-
0003756811
-
-
Cambridge University Press, Cambridge, U.K.
-
For a review of the Anderson model and the Kondo problem, see A. C. Hewson, The Kondo Problem to Heavy Fermions (Cambridge University Press, Cambridge, U.K., 1993).
-
(1993)
The Kondo Problem to Heavy Fermions
-
-
Hewson, A.C.1
-
18
-
-
0009693775
-
-
E. Bascones, C. P. Herrero, F. Guinea, and G. Schön, Phys. Rev. B 61, 16778 (2000).
-
(2000)
Phys. Rev. B
, vol.61
, pp. 16778
-
-
Bascones, E.1
Herrero, C.P.2
Guinea, F.3
Schön, G.4
-
20
-
-
16844367832
-
-
Department of Computer Science, University of Toronto, Technical Report No. CRG-TR-93-1, (unpublished)
-
R. M. Neal, Department of Computer Science, University of Toronto, Technical Report No. CRG-TR-93-1, 1993 (unpublished).
-
(1993)
-
-
Neal, R.M.1
-
21
-
-
0004272772
-
-
Cambridge University Press, Cambridge, U.K.
-
D. J. C. MacKay, Information Theory, Inference, and Learning Algorithms (Cambridge University Press, Cambridge, U.K., 2003).
-
(2003)
Information Theory, Inference, and Learning Algorithms
-
-
MacKay, D.J.C.1
-
26
-
-
18044388603
-
-
R. B. Griffiths, J. Math. Phys. 8, 478 (1967); 8, 484 (1967); for the discussion of the XY symmetry see J. Ginibre, Commun. Math. Phys. 16, 310 (1970).
-
(1967)
J. Math. Phys.
, vol.8
, pp. 478
-
-
Griffiths, R.B.1
-
27
-
-
33845400496
-
-
R. B. Griffiths, J. Math. Phys. 8, 478 (1967); 8, 484 (1967); for the discussion of the XY symmetry see J. Ginibre, Commun. Math. Phys. 16, 310 (1970).
-
(1967)
J. Math. Phys.
, vol.8
, pp. 484
-
-
-
28
-
-
0001618885
-
-
R. B. Griffiths, J. Math. Phys. 8, 478 (1967); 8, 484 (1967); for the discussion of the XY symmetry see J. Ginibre, Commun. Math. Phys. 16, 310 (1970).
-
(1970)
Commun. Math. Phys.
, vol.16
, pp. 310
-
-
Ginibre, J.1
-
29
-
-
0000097317
-
-
P. W. Anderson, G. Yuval, and D. R. Hamann, Phys. Rev. B 1, 4464 (1970); P. W. Anderson and G. Yuval, J. Phys. C 4, 607 (1971).
-
(1970)
Phys. Rev. B
, vol.1
, pp. 4464
-
-
Anderson, P.W.1
Yuval, G.2
Hamann, D.R.3
-
30
-
-
0039672087
-
-
P. W. Anderson, G. Yuval, and D. R. Hamann, Phys. Rev. B 1, 4464 (1970); P. W. Anderson and G. Yuval, J. Phys. C 4, 607 (1971).
-
(1971)
J. Phys. C
, vol.4
, pp. 607
-
-
Anderson, P.W.1
Yuval, G.2
-
34
-
-
16844368653
-
-
note
-
The renormalization in Eq. (16) has been obtained in different context in numerous earlier works. See, for instance, Falci et al. (Ref. 15), and references therein.
-
-
-
-
36
-
-
16844378242
-
-
cond-mat/0405609 (unpublished)
-
T. Vojta and J. Schmalian, cond-mat/0405609 (unpublished).
-
-
-
Vojta, T.1
Schmalian, J.2
-
37
-
-
0033450593
-
-
S. Misawa, J. Phys. Soc. Jpn. 68, 32 (1999); D. Belitz, T. R. Kirkpatrick, and T. Vojta, Phys. Rev. Lett. 82, 4707 (1999).
-
(1999)
J. Phys. Soc. Jpn.
, vol.68
, pp. 32
-
-
Misawa, S.1
-
38
-
-
0000159459
-
-
S. Misawa, J. Phys. Soc. Jpn. 68, 32 (1999); D. Belitz, T. R. Kirkpatrick, and T. Vojta, Phys. Rev. Lett. 82, 4707 (1999).
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 4707
-
-
Belitz, D.1
Kirkpatrick, T.R.2
Vojta, T.3
-
40
-
-
36149020799
-
-
A. M. Clogston, B. T. Matthias, M. Peter, H. J. Williams, E. Corenswit, and R. C. Sherwood, Phys. Rev. 125, 541 (1962).
-
(1962)
Phys. Rev.
, vol.125
, pp. 541
-
-
Clogston, A.M.1
Matthias, B.T.2
Peter, M.3
Williams, H.J.4
Corenswit, E.5
Sherwood, R.C.6
-
42
-
-
0008031338
-
-
J. W. Loram and K. A. Mirza, J. Phys. F: Met. Phys. 15, 2213 (1985); J. W. Loram, K. A. Mirza, and Z. Chen, ibid. 16, 233 (1986).
-
(1985)
J. Phys. F: Met. Phys.
, vol.15
, pp. 2213
-
-
Loram, J.W.1
Mirza, K.A.2
-
43
-
-
0022659999
-
-
J. W. Loram and K. A. Mirza, J. Phys. F: Met. Phys. 15, 2213 (1985); J. W. Loram, K. A. Mirza, and Z. Chen, ibid. 16, 233 (1986).
-
(1986)
J. Phys. F: Met. Phys.
, vol.16
, pp. 233
-
-
Loram, J.W.1
Mirza, K.A.2
Chen, Z.3
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