Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope

Fuente: arXiv
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Main Authors: Waschitz, Yuval, Stern, Ady, Oreg, Yuval
Format: Preprint
Published: 2025
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author Waschitz, Yuval
Stern, Ady
Oreg, Yuval
author_facet Waschitz, Yuval
Stern, Ady
Oreg, Yuval
contents We develop a theoretical framework for probing superconductivity with momentum resolution using the quantum twisting microscope (QTM), a planar tunneling device where a graphene tip is rotated relative to a two-dimensional sample. Because of in-plane momentum conservation, the QTM directly measures the superconducting spectral function along well-defined trajectories in momentum space. The relative intensities of electron and hole excitations encode the Bogoliubov coherence factors, revealing the momentum dependence of the pairing magnitude. Three $C_{3z}$-related tunneling channels enable direct detection of rotational symmetry breaking, as well as nodal points in the superconducting order parameter. We apply our framework to superconductivity within the Bistritzer-MacDonald model of noninteracting electrons and the topological heavy-fermion model, which accounts for electron-electron interactions. Together, these capabilities establish the QTM as a direct probe of the pairing symmetry and microscopic origin of superconductivity in two-dimensional materials.
format Preprint
id arxiv_https___arxiv_org_abs_2510_13641
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope
Waschitz, Yuval
Stern, Ady
Oreg, Yuval
Mesoscale and Nanoscale Physics
Superconductivity
We develop a theoretical framework for probing superconductivity with momentum resolution using the quantum twisting microscope (QTM), a planar tunneling device where a graphene tip is rotated relative to a two-dimensional sample. Because of in-plane momentum conservation, the QTM directly measures the superconducting spectral function along well-defined trajectories in momentum space. The relative intensities of electron and hole excitations encode the Bogoliubov coherence factors, revealing the momentum dependence of the pairing magnitude. Three $C_{3z}$-related tunneling channels enable direct detection of rotational symmetry breaking, as well as nodal points in the superconducting order parameter. We apply our framework to superconductivity within the Bistritzer-MacDonald model of noninteracting electrons and the topological heavy-fermion model, which accounts for electron-electron interactions. Together, these capabilities establish the QTM as a direct probe of the pairing symmetry and microscopic origin of superconductivity in two-dimensional materials.
title Momentum-resolved spectroscopy of superconductivity with the quantum twisting microscope
topic Mesoscale and Nanoscale Physics
Superconductivity
url https://arxiv.org/abs/2510.13641