Flux Phase in Bilayer t–J Model: Time-Reversal Symmetry Breaking Surface State without Spontaneous Magnetic Field

摘要: We study surface states of high-TC cuprate superconductor YBCO using the bilayer t–J model. Calculations based on Bogoliubov de Gennes method show that a flux phase breaks time-reversal symmetry (\(\mathcal{T}\)) may arise near (110) where \(d_{x^{2} - y^{2}}\)-wave superconductivity is strongly suppressed. It found in which spontaneous magnetic fields two layers have opposite directions be stabilized wide region doping rate, and split peaks local density appear. Near surface, field not observed experimentally, because contributions from essentially cancel out. This explain absence YBCO, for sign \(\mathcal{T}\) violation has been detected.