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Charge-4e and Charge-6e Flux Quantization and Higher Charge Superconductivity in Kagome Superconductor Ring Devices

Jun Ge, Pinyuan Wang, Ying Xing, Qiangwei Yin, Anqi Wang, Jie Shen, Hechang Lei, Ziqiang Wang, and Jian Wang
Phys. Rev. X 14, 021025 – Published 13 May 2024
Physics logo See Viewpoint: Cooper Pairs Pair Up in a Kagome Metal

Abstract

The flux quantization is a key indication of electron pairing in superconductors. For example, the well-known h/2e flux quantization is considered strong evidence for the existence of charge-2e, two-electron Cooper pairs. Here we report evidence for multicharge flux quantization in mesoscopic ring devices fabricated using the transition-metal kagome superconductor CsV3Sb5. We perform systematic magnetotransport measurements and observe unprecedented quantization of magnetic flux in units of h/4e and h/6e in magnetoresistance oscillations. Specifically, at low temperatures, magnetoresistance oscillations with period h/2e are detected, as expected from the flux quantization for charge-2e superconductivity. We find that the h/2e oscillations are suppressed and replaced by resistance oscillations with h/4e periodicity when the temperature is increased. Increasing the temperature further suppresses the h/4e oscillations, and robust resistance oscillations with h/6e periodicity emerge as evidence for charge-6e flux quantization. Our observations provide the first experimental evidence for the existence of multicharge flux quanta and emergent quantum matter exhibiting higher-charge superconductivity in the strongly fluctuating region above the charge-2e Cooper pair condensate, revealing new insights into the intertwined and vestigial electronic order in kagome superconductors.

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  • Received 7 September 2023
  • Revised 16 January 2024
  • Accepted 12 March 2024

DOI:https://doi.org/10.1103/PhysRevX.14.021025

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

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Cooper Pairs Pair Up in a Kagome Metal

Published 13 May 2024

In its superconducting state, an exotic metal harbors charge carriers that appear to have 4 and 6 times the charge of a single electron, suggesting the formation of Cooper-pair “molecules.”

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Authors & Affiliations

Jun Ge1,†, Pinyuan Wang1,†, Ying Xing1,2, Qiangwei Yin3, Anqi Wang4,5, Jie Shen4,6, Hechang Lei3, Ziqiang Wang7, and Jian Wang1,8,9,*

  • 1International Center for Quantum Materials, School of Physics, Peking University, Beijing 100871, China
  • 2State Key Laboratory of Heavy Oil Processing, College of New Energy and Materials, China University of Petroleum, Beijing 102249, China
  • 3Beijing Key Laboratory of Optoelectronic Functional Materials and Micro-Nano Devices, Department of Physics, Renmin University of China, Beijing 100872, China
  • 4Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 5School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
  • 6Songshan Lake Materials Laboratory, Dongguan 523808, China
  • 7Department of Physics, Boston College, Chestnut Hill, Massachusetts 0246, USA
  • 8Collaborative Innovation Center of Quantum Matter, Beijing 100871, China
  • 9Hefei National Laboratory, Hefei 230088, China

  • *To whom all correspondence should be addressed: jianwangphysics@pku.edu.cn
  • These authors contributed equally to this work.

Popular Summary

Superconductivity originates from the pairing up of electrons in what are called Cooper pairs. But theory also hints at fundamentally new types of superconducting states that could emerge from electron quartets (two Cooper pairs) or sextets (three Cooper pairs). Despite intensive theoretical studies, the basic properties of such states—and even the question of whether they exist—remain mysterious due to a lack of experimental evidence. Here, we provide the first evidence of four- and six-electron superconducting states.

A key indication of electron pairing in superconductors is the quantization of magnetic flux. That is, when a magnetic flux is applied, it can take only integer multiples of some fundamental value. In our experiments, we find evidence for multicharge flux quantization in mesoscopic ring devices fabricated using the superconductor CsV3Sb5. Specifically, at low temperatures, we detect magnetoresistance oscillations with periods consistent with two-electron superconductivity. As the temperature increases, we find that the two-electron oscillations are suppressed and replaced by ones matching four-electron groupings. Further temperature increases show the four-electron oscillations giving way to six-electron oscillations indicating six-electron superconductivity.

Our observations provide the first experimental evidence for the existence of multicharge flux quanta and emergent quantum matter exhibiting higher-charge superconductivity, revealing new insights into superconductivity phenomena beyond the condensation of two-electron Cooper pairs.

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Vol. 14, Iss. 2 — April - June 2024

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