Flux phase as possible time-reversal symmetry breaking surface states of high-$T_C$ cuprate superconductors

Abstract

At a (110) surface of a $d_{x^2-y-2}$-wave superconductor, superconducting order is strongly suppressed. In such a situation, ordered states that are forbidden in the bulk may arise. This problem is studied for high-$T_C$ cuprate superconductors by treating the $t-J$ model with extended transfer integrals using the Bogoliubov de Gennes method. It is found that a flux phase with staggered currents along the surface, or an antiferromagnetic state can occur near the surface. Stability of the emergent surface states is different from system to system depending on the shapes of their Fermi surfaces. Possible relation to the experiments on the Kerr effect that suggest time-reversal symmetry breaking is discussed.

6 pages, 6 figures

References in corpus (7)

• Polar Kerr Effect Measurements of YBa2Cu3O6+x: Evidence for Broken Symmetry Near the Pseudogap Temperature
• Kerr effect as evidence of gyrotropic order in the cuprates
• Berry phase mechanism for optical gyrotropy in stripe-ordered cuprates
• Time-reversal symmetry breaking by a $(d+id)$ density-wave state in underdoped cuprate superconductors
• Magneto-optical signatures of a cascade of transitions in La${}_2-x$Ba${}_x$CuO${}_4$
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• Flux Phase as a Possible Ordered State in t-J Model

Cited by in corpus (6)

• Coexistence of magnetic and charge order in a two-component order parameter description of the layered superconductors
• Flux Phase in Bilayer $t-J$ Model: Time-Reversal Symmetry Breaking Surface State without Spontaneous Magnetic Field
• Flux Phase in Bilayer $t-J$ Model
• Ginzburg-Landau Theory for Flux Phase and Superconductivity in $t-J$ Model
• Spontaneous Magnetic Field near a Time-Reversal Symmetry Broken Surface State of YBCO
• Spontaneous Magnetic Field and Local Density of States near a Time-Reversal Symmetry Broken Surface State of YBCO