Whether there is the intrinsic Hall effect in a multi-band superconductor?

Abstract

The interplay of the microscopic models and the symmetry considerations in application to the superconducting state of putative chiral superconductor Sr2RuO4 are presented. There is demonstrated that chiral two-band superconducting ordering recently proposed as candidate for the superconducting state in this material and having the long-expected property such as the intrinsic Hall effect does not exist as energetically disadvantageous in comparison with the states not supporting the Hall effect. Other chiral multi-band superconducting states with intraband pairing do not support an intrinsic Hall properties as well. The superconducting states with direct interband pairing could serve as the probable candidates for the Hall effect existence.

5 pages, no figures

References in corpus (7)

• High Resolution Polar Kerr Effect Measurements of Sr2RuO4: Evidence for Broken Time Reversal Symmetry in the Superconducting State
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Hidden quasi one-dimensional superconductivity in Sr${}_2$RuO${}_4$
• Intrinsic Hall effect in a multiband chiral superconductor in the absence of an external magnetic field
• Frequency and temperature dependence of the anomalous Hall conductivity in a chiral px+ipy superconductor with impurities
• Impurity Induced Polar Kerr Effect in A Chiral p-wave Superconductor
• Intrinsic optical dichroism in the chiral superconducting state of Sr${}_2$RuO${}_4$

Cited by in corpus (11)

• Topological Weyl Superconductor to Diffusive Thermal Hall Metal Crossover in the B-Phase of UPt${}_3$
• Odd-frequency superconductivity in Sr${}_2$RuO${}_4$ measured by Kerr rotation
• The Kerr rotation in the unconventional superconductor Sr${}_2$RuO${}_4$
• Kerr effect from diffractive skew scattering in chiral $p_x\pm i{p}_y$ superconductors
• Loop currents and anomalous Hall effect from time-reversal symmetry-breaking superconductivity on the honeycomb lattice
• Anomalous Hall conductivity of clean Sr2RuO4 at finite temperatures
• Quantum-geometry-induced anomalous Hall effect in nonunitary superconductors and application to Sr${}_2$RuO${}_4$
• Anomalous Hall effect in semiconductor quantum wells in proximity to chiral p-wave superconductors
• Modern Theory for the Orbital Moment in a Superconductor
• Superconducting phase transition of Sr2RuO4 in magnetic field
• Pairing-induced Momentum-space Magnetism and Its Implication In Optical Anomalous Hall Effect In Chiral Superconductors