Phases of holographic d-wave superconductor

• Published in: The journal of high energy physics 2015-10, Vol.2015 (10), p.1-19, Article 123
• Main Author: Krikun, A.
• Format: Article
• Language: English
• Subjects: Breaking; CHARGE DENSITY; Classical and Quantum Gravitation; Classical Theories of Gravity; COPPER OXIDE; Elementary Particles; Equations of motion; Holography and condensed matter physics (AdS/CMT); MATHEMATICAL ANALYSIS; Mathematical models; Parity; PHASES; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; SUPERCONDUCTORS; Symmetry; Translations
• ISSN: 1029-8479; 1126-6708; 1029-8479
• DOI: 10.1007/JHEP10(2015)123

A bstract We study different phases in the holographic model of d-wave superconductor. These are described by solutions to the classical equations of motion found in different ansatze. Apart from the known homogeneous d-wave superconducting phase we find three new solutions. Two of them represent two distinct families of the spatially modulated solutions, which realize the charge density wave phases in the dual theory. The third one is the new homogeneous phase with nonzero anapole moment. These phases are relevant to the physics of cuprate high-Tc superconductor in pseudogap region. While the d-wave phase preserves translation, parity and time reversal symmetry, the striped phases break translations spontaneously. Parity and time-reversal are preserved when combined with discrete half-periodic shift of the wave. In anapole phase translation symmetry is preserved, but parity and time reversal are spontaneously broken. All of the considered solutions break the global U(1). Thermodynamical treatment shows that in the simplest d-wave model the anapole phase is always preferred, while the stripe phases realize the continuous transition in solution space between the normal phase and two homogeneous condensed phases.