Superfluid stiffness of twisted multilayer graphene superconductors

Fuente: arXiv
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Auteurs principaux: Banerjee, Abhishek, Hao, Zeyu, Kreidel, Mary, Ledwith, Patrick, Phinney, Isabelle, Park, Jeong Min, Zimmerman, Andrew M., Watanabe, Kenji, Taniguchi, Takashi, Westervelt, Robert M, Jarillo-Herrero, Pablo, Volkov, Pavel A., Vishwanath, Ashvin, Fong, Kin Chung, Kim, Philip
Format: Preprint
Publié: 2024
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author Banerjee, Abhishek
Hao, Zeyu
Kreidel, Mary
Ledwith, Patrick
Phinney, Isabelle
Park, Jeong Min
Zimmerman, Andrew M.
Watanabe, Kenji
Taniguchi, Takashi
Westervelt, Robert M
Jarillo-Herrero, Pablo
Volkov, Pavel A.
Vishwanath, Ashvin
Fong, Kin Chung
Kim, Philip
author_facet Banerjee, Abhishek
Hao, Zeyu
Kreidel, Mary
Ledwith, Patrick
Phinney, Isabelle
Park, Jeong Min
Zimmerman, Andrew M.
Watanabe, Kenji
Taniguchi, Takashi
Westervelt, Robert M
Jarillo-Herrero, Pablo
Volkov, Pavel A.
Vishwanath, Ashvin
Fong, Kin Chung
Kim, Philip
contents The robustness of the macroscopic quantum nature of a superconductor can be characterized by the superfluid stiffness, $ρ_s$, a quantity that describes the energy required to vary the phase of the macroscopic quantum wave function. In unconventional superconductors, such as cuprates, the low-temperature behavior of $ρ_s$ drastically differs from that of conventional superconductors due to quasiparticle excitations from gapless points (nodes) in momentum space. Intensive research on the recently discovered magic-angle twisted graphene family has revealed, in addition to superconducting states, strongly correlated electronic states associated with spontaneously broken symmetries, inviting the study of $ρ_s$ to uncover the potentially unconventional nature of its superconductivity. Here we report the measurement of $ρ_s$ in magic-angle twisted trilayer graphene (TTG), revealing unconventional nodal-gap superconductivity. Utilizing radio-frequency reflectometry techniques to measure the kinetic inductive response of superconducting TTG coupled to a microwave resonator, we find a linear temperature dependence of $ρ_s$ at low temperatures and nonlinear Meissner effects in the current bias dependence, both indicating nodal structures in the superconducting order parameter. Furthermore, the doping dependence shows a linear correlation between the zero temperature $ρ_s$ and the superconducting transition temperature $T_c$, reminiscent of Uemura's relation in cuprates, suggesting phase-coherence-limited superconductivity. Our results provide strong evidence for nodal superconductivity in TTG and put strong constraints on the mechanisms of these graphene-based superconductors.
format Preprint
id arxiv_https___arxiv_org_abs_2406_13742
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Superfluid stiffness of twisted multilayer graphene superconductors
Banerjee, Abhishek
Hao, Zeyu
Kreidel, Mary
Ledwith, Patrick
Phinney, Isabelle
Park, Jeong Min
Zimmerman, Andrew M.
Watanabe, Kenji
Taniguchi, Takashi
Westervelt, Robert M
Jarillo-Herrero, Pablo
Volkov, Pavel A.
Vishwanath, Ashvin
Fong, Kin Chung
Kim, Philip
Superconductivity
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Quantum Physics
The robustness of the macroscopic quantum nature of a superconductor can be characterized by the superfluid stiffness, $ρ_s$, a quantity that describes the energy required to vary the phase of the macroscopic quantum wave function. In unconventional superconductors, such as cuprates, the low-temperature behavior of $ρ_s$ drastically differs from that of conventional superconductors due to quasiparticle excitations from gapless points (nodes) in momentum space. Intensive research on the recently discovered magic-angle twisted graphene family has revealed, in addition to superconducting states, strongly correlated electronic states associated with spontaneously broken symmetries, inviting the study of $ρ_s$ to uncover the potentially unconventional nature of its superconductivity. Here we report the measurement of $ρ_s$ in magic-angle twisted trilayer graphene (TTG), revealing unconventional nodal-gap superconductivity. Utilizing radio-frequency reflectometry techniques to measure the kinetic inductive response of superconducting TTG coupled to a microwave resonator, we find a linear temperature dependence of $ρ_s$ at low temperatures and nonlinear Meissner effects in the current bias dependence, both indicating nodal structures in the superconducting order parameter. Furthermore, the doping dependence shows a linear correlation between the zero temperature $ρ_s$ and the superconducting transition temperature $T_c$, reminiscent of Uemura's relation in cuprates, suggesting phase-coherence-limited superconductivity. Our results provide strong evidence for nodal superconductivity in TTG and put strong constraints on the mechanisms of these graphene-based superconductors.
title Superfluid stiffness of twisted multilayer graphene superconductors
topic Superconductivity
Mesoscale and Nanoscale Physics
Strongly Correlated Electrons
Quantum Physics
url https://arxiv.org/abs/2406.13742