Abstract
Recently an \( \mathcal{N} \) = 1 supersymmetric model of BCS superconductivity was proposed realizing spontaneous symmetry breaking of a U(1)R symmetry. Due to scalar contributions the superconducting phase transition turned out to be first order rather than second order as in standard BCS theory. Here we consider the effects of an external magnetic field and spatial fluctuations of the gap in that model. This allows us to compute the magnetic penetration length and the coherence length, and also to distinguish between type I and type II superconductors. We compare the supersymmetric and standard relativistic BCS results, where the main differences come from the different orders of the phase transition.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Y. Nambu, Fermion-Boson Relations in BCS-type theories, Physica D 15 (1985) 147 [INSPIRE].
F. Iachello, Dynamical supersymmetries in nuclei, Phys. Rev. Lett. 44 (1980) 772 [INSPIRE].
R. Harnik, D.T. Larson and H. Murayama, Supersymmetric color superconductivity, JHEP 03 (2004) 049 [hep-ph/0309224] [INSPIRE].
N. Maru and M. Tachibana, Color superconductivity from supersymmetry, hep-ph/0411079 [INSPIRE].
T. Ohsaku, Dynamical chiral symmetry breaking and superconductivity in the supersymmetric Nambu-Jona-Lasinio model at finite temperature and density, Phys. Lett. B 634 (2006) 285 [Erratum ibid. B 664 (2008) 316–317] [hep-ph/0509176] [INSPIRE].
A. Barranco and J.G. Russo, Supersymmetric BCS, JHEP 06 (2012) 104 [arXiv:1204.4157] [INSPIRE].
K.A. Intriligator and N. Seiberg, Lectures on supersymmetric gauge theories and electric-magnetic duality, Nucl. Phys. Proc. Suppl. 45BC (1996) 1 [hep-th/9509066] [INSPIRE].
J. Terning, Modern Supersymmetry, Dynamics and Duality, Oxford University Press (2006).
D. Bertrand, A Relativistic BCS Theory of Superconductivity: An Experimentally Motivated Study of Electric Fields in Superconductors, Ph.D. thesis, University College London (2005).
L.P. Gor’kov, Microscopic derivation of the Ginzburg-Landau equations in the theory of superconductivity, Sov. Phys. - JETP 9 (1959) 1364 [Zh. Eksp. Teor. Fiz. 36 (1059) 1918].
E.J. Ferrer, V. de la Incera and C. Manuel, Magnetic color flavor locking phase in high density QCD, Phys. Rev. Lett. 95 (2005) 152002 [hep-ph/0503162] [INSPIRE].
E.J. Ferrer and V. de la Incera, Magnetic Phases in Three-Flavor Color Superconductivity, Phys. Rev. D 76 (2007) 045011 [nucl-th/0703034] [INSPIRE].
E.J. Ferrer and V. de la Incera, Magnetism in Dense Quark Matter, Lect. Notes Phys. 871 (2013) 399 [arXiv:1208.5179] [INSPIRE].
E.J. Ferrer, V. de la Incera and C. Manuel, Color-superconducting gap in the presence of a magnetic field, Nucl. Phys. B 747 (2006) 88 [hep-ph/0603233] [INSPIRE].
B. Halperin, T. Lubensky and S.-K. Ma, First order phase transitions in superconductors and smectic A liquid crystals, Phys. Rev. Lett. 32 (1974) 292 [INSPIRE].
M. Iwasaki and T. Iwado, Superconductivity in the quark matter, Phys. Lett. B 350 (1995) 163 [INSPIRE].
M.G. Alford, K. Rajagopal and F. Wilczek, QCD at finite baryon density: Nucleon droplets and color superconductivity, Phys. Lett. B 422 (1998) 247 [hep-ph/9711395] [INSPIRE].
R. Rapp, T. Schäfer, E.V. Shuryak and M. Velkovsky, High density QCD and instantons, Annals Phys. 280 (2000) 35 [hep-ph/9904353] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1301.0691
Rights and permissions
About this article
Cite this article
Barranco, A. Supersymmetric BCS: effects of an external magnetic field and spatial fluctuations of the gap. J. High Energ. Phys. 2013, 172 (2013). https://doi.org/10.1007/JHEP07(2013)172
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP07(2013)172