Functional renormalization group for d-wave superconductivity

2006/08/31 by H. C. Krahl, C. Wetterich
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.str-el #cond-mat.supr-con #hep-th

paper · pdf · doi:10.1016/j.physleta.2007.03.028

published as Phys.Lett.A367:263-267,2007 · 5 pages, 4 figures, references added, discussion improved

openalex publication_date 2007/03/24 · arxiv created 2008/01/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The temperature dependence of d-wave superconducting order for two dimensional fermions with d-wave attraction is investigated by means of the functional renormalization group with partial bosonization. Below the critical temperature T_c we find superconductivity, a gap in the electron propagator and a temperature dependent anomalous dimension. At T_c the renormalized "superfluid density" jumps and the approach to T_c from above is characterized by essential scaling. These features are characteristic for a phase transition of the Kosterlitz-Thouless (KT) type.

Citations

• Strongly nonlinear magnetization above T c in Bi 2 Sr 2 CaCu 2 O 8 + δ
• Exact evolution equation for the effective potential
• Ordering, metastability and phase transitions in two-dimensional systems
• Temperature dependence of antiferromagnetic order in the Hubbard model
• Electron correlations in narrow energy bands
• Quantum Phase Transitions ind-Wave Superconductors