Abstract
We review the effects of electron—electron interactions on the ground-state spin and the transport properties of ultra-small chaotic metallic grains. Our studies are based on an effective Hamiltonian that combines a superconducting BCS-like term and a ferromagnetic Stoner-like term. Such terms originate in pairing and spin exchange correlations, respectively. This description is valid in the limit of a large dimensionless Thouless conductance. We present the ground-state phase diagram in the fluctuation-dominated regime where the single-particle mean level spacing is comparable to the bulk BCS pairing gap. This phase diagram contains a regime in which pairing and spin exchange correlations coexist in the ground-state wave function. We discuss the calculation of the tunneling conductance for an almost-isolated grain in the Coulomb-blockade regime, and present measurable signatures of the competition between superconductivity and ferromagnetism in the mesoscopic fluctuations of the conductance.
Key words
- Metallic grains
- Superconductivity
- Ferromagnetism
This is a preview of subscription content, access via your institution.
Buying options
Preview
Unable to display preview. Download preview PDF.
References
Abrikosov A.A. and Gorkov L.P.: 1960. Zh. Eksp. Teor. Fiz., 39, 1781
Abrikosov A.A. and Gorkov L.P.: 1961. Sov. Phys. JETP, 12, 1243
Aleiner I.L., Brouwer P.W. and Glazman L.I.: 2002. Phys. Rep., 358, 309
Alhassid Y.: 2000. Rev. Mod. Phys., 72, 895
Alhassid Y. and Rupp T.: 2003. Phys. Rev. Lett., 91, 056801
Alhassid Y., Rupp T., Kaminski A. and Glazman L.I.: 2004. Phys. Rev. B, 69, 115331
Aoki D. et al: 2001. Nature, 413, 613
Bernhard C. et al: 1999. Phys. Rev. B, 59, 14099
Black C.T., Ralph D.C. and Tinkham M.: 1996. Phys. Rev. Lett., 76, 688
Bolotin K.I., Kuemmeth F., Pasupathy A.N. and Ralph D.C.: 2004. Appl. Phys. Lett., 84, 3154
Braun F., von Delft J., Ralph D.C. and Tinkham M.: 1997. Phys. Rev. Lett., 79, 921
Bustarret E. et al: 2006. Nature, 444, 465
Chandrasekhar B.S.: 1962. Appl. Phys. Lett., 1, 7
Clogston A.M.: 1962. Phys. Rev. Lett., 9, 266
von Delft J. and Ralph D.C.: 2001. Phys. Rep., 345, 661
Deshmukh M.M. et al: 2001. Phys. Rev. Lett., 87, 226801
Falci G., Fazio R. and Mastellone A.: 2003. Phys. Rev. B, 67, 132501
Fulde P. and Ferrell R.A.: 1964. Phys. Rev., 135, A550
Gorokhov D.A. and Brouwer P.W.: 2004. Phys. Rev. B, 69, 155417
Gueron S., Deshmukh M.M., Myers E.B. and Ralph D.C.: 1999. Phys. Rev. Lett., 83, 4148
Jalabert R.A., Stone A.D. and Alhassid Y.: 1992. Phys. Rev. Lett., 68, 3468
Kleff S., von Delft J., Deshmukh M. and Ralph D.C.: 2001. Phys. Rev. B, 64, 220401
Kuemmeth F., Bolotin K.I., Shi S.-F. and Ralph D.C.: 2008. Nano Lett., 8, 4506
Kurland I.L., Aleiner I.L. and Altshuler B.L.: 2000. Phys. Rev. B, 62, 14886
Larkin A.I. and Ovchinnikov Yu.N.: 1964. Zh. Eksp. Teor. Fiz., 47, 1136
Larkin A.I. and Ovchinnikov Yu.N.: 1965. Sov. Phys. JETP, 20, 762
Park H., Lim A.K.L., Alivisatos A.P., Park J. and McEuen P.L.: 1999. Appl. Phys. Lett., 75, 301
Pfleiderer C. et al: 2001. Nature, 412, 58
Ralph D.C., Black C.T. and Tinkham M.: 1995. Phys. Rev. Lett., 74, 3241
Ralph D.C., Black C.T. and Tinkham M.: 1997. Phys. Rev. Lett., 78, 4087
Saxena S.S. et al: 2000. Nature, 406, 587
Schmidt S. and Alhassid Y.: 2008. Phys. Rev. Lett., 101, 207003
Schmidt S., Alhassid Y. and van Houcke K.: 2007. Europhys. Lett., 80, 47004
Tallon J. et al: 1999. IEEE Trans. Appl. Superconduct., 9, 1696
Tureci H.E. and Alhassid Y.: 2006. Phys. Rev. B, 74, 165333
Ying Z., Couco M., Noce C. and Zhou H.: 2006. Phys. Rev. B, 74, 012503
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Schmidt, S., Alhassid, Y. (2009). Mesoscopic Interplay of Superconductivity and Ferromagnetismin Ultra-Small Metallic Grains. In: Casati, G., Matrasulov, D. (eds) Complex Phenomena in Nanoscale Systems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3120-4_3
Download citation
DOI: https://doi.org/10.1007/978-90-481-3120-4_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-3118-1
Online ISBN: 978-90-481-3120-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)