Research ArticleOpen AccessGoogle Scholar indexed
Critical Behavior of a Supersymmetric Extension of the Ginzburg-Landau Model
- 1
Journal of Modern Physics·Volume 02 (2011)·Pages 374–378·Published 17 May 2011·DOI10.4236/jmp.2011.25046
Copy link · social · email
Abstract
We make a connection between quantum phase transitions in condensed matter systems, and supersymmetric gauge theories that are of interest in the particle physics literature. In particular, we point out interesting effects of the supersymmetric quantum electrodynamics upon the critical behavior of the Ginzburg-Landau model. It is shown that supersymmetry fixes the critical exponents, as well as the Landau-Ginzburg para- meter, and that the model resides in the type II regime of superconductivity.
KeywordsSuperconductivityCritical ExponentsSupersymmetry
- V. L. Ginzburg and L. D. Landau, “On the Theory of Superconductivity,” Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, Vol. 20, 1950, pp. 1064-1082.
- B. I. Halperin, T. C. Lubensky and S. K. Ma, “First- Order Phase Transitions in Superconductors and Smectic-A Liquid Crystals,” Physical Review Letters, Vol. 32, 1974, pp. 292-295. J. H. Chen, T. C. Lubensky and D. R. Nelson, “Crossover near Fluctuation-Induced First-Order Phase Transitions in Superconductors,” Physical Review B, Vol. 17, No. 11, 1978, pp. 4274-4286. doi:10.1103/PhysRevB.17.4274
- I. D. Lawrie, “On the Phase Transitions in Abelian Higgs Models,” Nuclear Physics B, Vol. 200, No. 1, 1982, pp. 1-19. doi:10.1016/0550-3213(82)90055-4 I. F. Herbut and Z. Tesanovic, “Critical Fluctuations in Superconductors and the Magnetic Field Penetration Depth,” Physical Review Letters, Vol. 76, No. 24, 1996, pp. 4588-4591. doi:10.1103/PhysRevLett.76.4588
- H. Kleinert and F. S. Nogueira, “Critical Behavior of the Ginzburg-Landau Model Coupled to Massless Dirac Fermions,” Physical Review B, Vol. 66, No. 1, 2002, p. 012504. doi:10.1103/PhysRevB.66.012504
- J. B. Marston, “U(1) Gauge Theory of the Heisenberg Antiferromagnet,” Physical Review Letters, Vol. 61, No. 17, 1988, pp. 1914-1917. doi:10.1103/PhysRevLett.61.1914 J. B. Marston and I. Affleck, “Large-n Limit of the Hubbard-Heisenberg Model,” Physical Review B, Vol. 39, No. 16, 1989, pp. 11538-11558. doi:10.1103/PhysRevB.39.11538 D. H. Kim and P. A. Lee, “Theory of Spin Excitations in Undoped and Underdoped Cuprates,” Annals of Physics, Vol. 272, No. 1, 1999, pp. 130-164. doi:10.1006/aphy.1998.5888
- H. Kleinert, “Disorder Version of the Abelian Higgs Model and the Order of the Superconductive Phase Transition,” Lettere Al Nuovo Cimento, Vol. 35, No. 13, 1982, pp. 405-412. doi:10.1007/BF02754760
- S. Mo, J. Hove and A. Sudbo, “Order of the Metal-to-Superconductor Transition,” Physical Review B, Vol. 65, No. 10, 2002, p. 104501. doi:10.1103/PhysRevB.65.104501
- M. Le Bellac, “Quantum and Statistical Field Theory,” Oxford University Press, Oxford, 1992.
- H. Kleinert and V. Schulte-Frohlinde, “Critical Phenomena in -Theory,” World Scientific, Singapore, 2001. http://www.physik.fu-berlin.de/kleinert/b8
- W. Hollik, E. Kraus and D. Stockinger, “Renormalization and Symmetry Conditions in Supersymmetric QED,” European Physical Journal C, Vol. 11, No. 2, 1999, pp. 365-381. doi:10.1007/s100529900216