We use the large n-expansion method to study the role of the long-range interaction, topological and dissipation effects for the case of an itinerant quantum ferromagnet in the limit of the Landau–Ginzburg–Wilson theory. In the one-loop approximation, we calculate the explicit form of the electronic self-energy as a result of electron–fluctuation interaction and extract the temperature dependence of the scattering time. The temperature dependence of the relative resistivity shows that both the dissipative and topological terms of the action determine the non-Fermi behavior of the system in the critical region around the quantum phase transition.
Similar content being viewed by others
References
Ishikawa Y., Noda Y., Uemura Y.J., Majkrzak C.F., Shirane G., (1985) . Phys. Rev. B 31: 5884
Pfleiderer C., McMullan G.J., Julian S.R., Lonzarich G.G., (1997) . Phys. Rev. B 55: 8330
Nicklas M., Brando M., Knebel G., Mayr F., Trinkl W., Loidl A., (1999) . Phys. Rev. Lett. 82: 4268
Lenkewitz M., Corspius S., Blanckenhagen G.-F. v., Stewart G.R., (1997) . Phys. Rev. B 55: 6409
Ohno H., (1998) . Science 281, 951
Jin S., Tiefel T.H., McCormack M., Fastnacht R.A., Ramesh R., Chen L.H., (1994) . Science 264, 413
Pfleiderer C., Uhlarz M., Hayden S.M., Vollmer R., Löhneysen H.v., Bernhoeft N.R., Lonzarich G.G., (2001) . Nature (London) 412, 58
Saxena S.S., Agarwal P., Ahilan K., Grosche F.M., Haselwimmer R.K.W., Steiner M.J., Pugh E., Walker I.R., Julian S.R., Monthoux P., Lonzarich G.G., Huxley A., Sheikin I., Braithwaite D., Flouquet J., (2000) . Nature (London) 406, 587
Hertz J.A., (1976) . Phys. Rev. B 14: 1165
Millis A.J., Phys. Rev. B 48, 7183 (1993); U. Zülicke and Millis A.J., Phys. Rev. B 51, 8996 (1995).
Vojta T., Belitz D., Kirkpatrick T.R., Narayanan R., (1999) . Ann. Phys. (Leipzig) 8, 593
D. Belitz and Kirkpatrick T.R., Phys. Rev. Lett. 89, 247202 (2002); T. R. Kirkpatrick and Belitz D., Phys. Rev. B 67, 024419 (2003).
Silva Neto M.B., Castro Neto A.H., (2003) . Europhys. Lett. 62, 890
Bodea D., Crisan M., Grosu I., Tifrea I., (2004) . J. Low Temp. Phys. 137, 105
Read N., Sachdev S., (1995) . Phys. Rev. Lett. 75: 3509
Fulde P., Luther A., (1968) . Phys. Rev. 170, 570
Kopietz P., (1984) . Phys. Rev. B 40: 5194
Timm C., Girvin S.M., Henelius P., (1998) . Phys. Rew. B 58: 1464
De Cesare L., (1982) . Nuovo Cimento 1D, 289
Crisan M., Bodea D., Grosu I., Tifrea I., (2002) . J. Phys. A: Math. Gen. 35, 239
Doniach S., Wohlfarth P.E., (1967) . Proc. Roy. Soc. Lond. 296, 442
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bodea, D., Crisan, M., Grosu, I. et al. Large n-Expansion Limit of the Three-Dimensional Ferromagnetic Quantum Phase Transition. J Low Temp Phys 146, 315–327 (2007). https://doi.org/10.1007/s10909-006-9251-3
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10909-006-9251-3