2012

Quantum order-by-disorder driven phase reconstruction in the vicinity of ferromagnetic quantum critical points

Karahasanovic, Una, Krüger, Frank, Green, Andrew G.

Understand

The formation of new phases close to itinerant electron quantum critical points has been observed experimentally in many compounds.

We present a unified analytical model that explains the emergence of new types of order around itinerant ferromagnetic quantum critical points.
The central idea of our analysis is that certain Fermi-surface deformations associated with the onset of the competing order enhance the phase-space available for low-energy quantum fluctuations and so self-consistently lower the free energy.
We demonstrate that this quantum order-by-disorder mechanism leads to instabilities towards the formation of spiral and d-wave spin nematic phases close to itinerant ferromagnetic quantum critical points in three spatial dimensions.

A. A. Abrikosov and I. M. Khalatnikov, Sov. Phys. JETP 6
1958
Earlier work this paper cites.
P. W. Anderson and W. F. Brinkman, Phys. Rev. Lett. 30
1973
Earlier work this paper cites.
S. Coleman and E. Weinberg, Physical Review D 7
1973
Earlier work this paper cites.
J. A. Hertz, Phys. Rev. B 14
1976
Earlier work this paper cites.
D. Fay and J. Appel, Phys. Rev. B 22
1980
Earlier work this paper cites.
J. E. Hirsch, Phys. Rev. B 41
1990
Earlier work this paper cites.
F. Mila, D. Poilblanc, and C. Bruder, Phys. Rev. B 43
1991
Earlier work this paper cites.
A. J. Millis, Phys. Rev. B 48
1993
Earlier work this paper cites.
R. K. Pathria, Statistical Mechanics (Butterworth-Heinemann, Oxford, Boston, 1996)
1996
Earlier work this paper cites.
D. Belitz, T. R. Kirkpatrick, and T. Vojta, Phys. Rev. B 55
1997
Earlier work this paper cites.
C. Pfleiderer, G. J. McMullan, S. R. Julian, and G. G. Lonzarich, Phys. Rev. B 55
1997
Earlier work this paper cites.
J. Maldacena, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
E. Witten, Adv. Theor. Math. Phys. 2
1998
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov, and A. M. Polyakov, Phys. Lett. B 428
1998
Earlier work this paper cites.

S. S. Saxena, P. Agarwal, K. Ahilan, F. M. Grosche, R. K. W. Haselwimmer, M. J. Steiner, E. Pugh, I. R. Walker, S. R. Julian, P. Monthoux, et al., Nature 406
2000
Cited alongside, same era.
J. Zaanen, Phys. Rev. Lett. 84
2000
Cited alongside, same era.
A. Huxley, I. Sheikin, and D. Braithwaite, Physica B (Amsterdam) 284-288
2000
Cited alongside, same era.
R. B. Laughlin, G. G. Lonzarich, P. Monthoux, and D. Pines, Adv. Phys. 50
2001
Cited alongside, same era.
J. Zaanen, O. Osman, H. Kruis, Z. Nussinov, and J. Tworzydlo, Philos. Mag. B 81
2001
Cited alongside, same era.
C. Pfleiderer, S. R. Julian, and G. G. Lonzarich, Nature 414
2001
Cited alongside, same era.
A. Huxley, l. Sheikin, E. Ressouche, N. Kernavanois, D. Braithwaite, R. Calemczuk, and J. Flouquet, Phys. Rev. B 63
2002
Cited alongside, same era.
T. Senthil, S. Sachdev, and M. Vojta, Phys. Rev. Lett. 90
2003
Cited alongside, same era.
M. Uhlarz, C. Pfleiderer, and S. M. Hayden, Phys. Rev. Lett. 93
2004
Cited alongside, same era.
C. Pfleiderer, D. Reznik, L. Pintschovius, H. v. Löhneysen, M. Garst, and A. Rosch, Nature 414
2004
Cited alongside, same era.
W. Yu, F. Zamborszky, J. D. Thompson, J. L. Sarrao, M. E. Torelli, Z. Fisk, and S. E. Brown, Phys. Rev. Lett. 92
2004
Cited alongside, same era.
J. Betouras, D. Efremov, and A. Chubukov, Phys. Rev. B 72
2005
Cited alongside, same era.

F. Krüger and S. Scheidl, Europhys. Lett. 74
2006
Later among the works it cites.
R. A. Borzi, S. A. Grigera, J. Farrell, R. S. Perry, S. J. S. Lister, S. L. Lee, D. A. Tennant, Y. Maeno, and A. P. Mackenzie, Science 315
2007
Later among the works it cites.
C. Wu, K. Sun, E. Fradkin, and S.-C. Zhang, Phys. Rev. B 75
2007
Later among the works it cites.
D. V. Efremov, J. J. Betouras, and A. Chubukov, Phys. Rev. B 77
2008
Later among the works it cites.
S. A. Hartnoll, C. P. Herzog, and G. T. Horowitz, J. High Energy Phys. 0812
2008
Later among the works it cites.
A. W. Rost, R. S. Perry, J.-F. Mercure, A. P. Mackenzie, and S. A. Grigera, Science 325
2009
Later among the works it cites.
D. L. Maslov and A. V. Chubukov, Phys. Rev. B 79
2009
Later among the works it cites.
G. J. Conduit, A. G. Green, and B. D. Simons, Phys. Rev. Lett. 103
2009
Later among the works it cites.
A. V. Chubukov and D. L. Maslov, Phys. Rev. Lett. 103
2009
Later among the works it cites.
G. J. Conduit and B. D. Simons, Phys. Rev. A 79
2009
Later among the works it cites.
M. Otero-Leal, F. Rivadulla, S. S. Saxena, K. Ahilan, and J. Rivas, Phys. Rev. B 79
2009
Later among the works it cites.
J.-H. She, J. Zaanen, A. R. Bishop, and A. V. Balatsky, Phys. Rev. B 82
2010
Later among the works it cites.
F. Krüger, U. Karahasanovic, and A. G. Green, Phys. Rev. Lett. XX
2012
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