Non-uniform Berry curvature in parent Chern bands induces momentum-space vortices in the chiral superconducting gap function, with the parent Chern number constraining vortex count independently of model details.
Probing superconductivity with tunneling spectroscopy in rhombohedral graphene
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abstract
Motivated by experiments on rhombohedral tetralayer graphene showing signs of superconductivity emerging from a valley-polarized normal state, we here analyze theoretically how scanning tunneling spectroscopy can be used to probe the superconducting order parameter of the system. To describe different pairing scenarios on equal footing, we develop a microscopic tunneling approach that can capture arbitrary, including finite-momentum, superconducting order parameters and low-symmetry normal-state Hamiltonians. Our analysis shows that the broken time-reversal symmetry in a single valley leads to unique features in the weak-tunneling regime that are different for commensurate and incommensurate Cooper pair momenta. We further uncover an unconventional spatial dependence of the Andreev conductance, allowing to distinguish between three topologically distinct classes of single-$\mathbf{q}$ pairing states in the system, and compute the signatures of a competing translational-symmetry breaking three-$\mathbf{q}$ ''moir\'e superconductor''.
verdicts
UNVERDICTED 2representative citing papers
A new theoretical framework enables the quantum twisting microscope to perform momentum-resolved spectroscopy of superconductivity, extracting pairing magnitude and symmetry from tunneling channels in 2D materials.
citing papers explorer
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Chiral superconductors from parent states with non-uniform Berry curvature: Momentum-space vortices, BdG topology, and thermal Hall conductivity
Non-uniform Berry curvature in parent Chern bands induces momentum-space vortices in the chiral superconducting gap function, with the parent Chern number constraining vortex count independently of model details.
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Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope
A new theoretical framework enables the quantum twisting microscope to perform momentum-resolved spectroscopy of superconductivity, extracting pairing magnitude and symmetry from tunneling channels in 2D materials.