Probing superconductivity with tunneling spectroscopy in rhombohedral graphene

Fuente: arXiv
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Autori principali: Sedov, Denis, Scheurer, Mathias S.
Natura: Preprint
Pubblicazione: 2025
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author Sedov, Denis
Scheurer, Mathias S.
author_facet Sedov, Denis
Scheurer, Mathias S.
contents 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-$\mathbf{q}$ ''moiré superconductor''.
format Preprint
id arxiv_https___arxiv_org_abs_2503_12650
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Probing superconductivity with tunneling spectroscopy in rhombohedral graphene
Sedov, Denis
Scheurer, Mathias S.
Superconductivity
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-$\mathbf{q}$ ''moiré superconductor''.
title Probing superconductivity with tunneling spectroscopy in rhombohedral graphene
topic Superconductivity
url https://arxiv.org/abs/2503.12650