Triplet superconductivity supported by an X9 high-order Van Hove singularity

Chethan Sanjeevappa; Anirudh Chandrasekaran; Joseph J. Betouras

doi:10.1103/jdr9-4f95

← Back to search

Triplet superconductivity supported by an X9 high-order Van Hove singularity

Chethan Sanjeevappa, Anirudh Chandrasekaran, Joseph J. Betouras

DOI 10.1103/jdr9-4f95 · Physical Review Research

T1

Active bibliographic source — not scientific approval

Bibliographic access preserves source history; it does not approve extracted materials or validate reported claims. Review warnings on each occurrence separately.

Abstract

We study a fourfold symmetric dispersion relation of a quantum material, which exhibits a single high-order Van Hove singularity of X9 type at the Fermi energy. First, we analyze in detail its form, type, and density of states when the energy dispersion is in its canonical form. Subsequently, we study the possibility of a superconducting state when Hubbard repulsive interactions are taken into account. By solving the gap equation, it is shown that triplet state superconductivity with power-law dependence of the critical temperature Tc on the interaction strength can be formed when a single singularity is present in the Brillouin zone. We discuss the effects of fluctuations and provide an upper bound of a possible superconducting critical temperature for the ruthenate Sr3Ru2O7, which has been shown to exhibit this type of singularity.

Source-reported materials — not catalogue approval

Formula	Reported Tc (K)	Pressure (GPa)	Type
Sr3Ru2O7 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown
Sr2Ru04 Archive — visibility unverified Source-occurrence policy only; no material identity or catalogue acceptance is inferred from the formula.	—	Pressure not reported	unknown