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Strongly coupled edge states in a graphene quantum Hall interferometer

Journal Article · · Nature Communications

Electronic interferometers using the chiral, one-dimensional (1D) edge channels of the quantum Hall effect (QHE) can demonstrate a wealth of fundamental phenomena. The recent observation of phase jumps in a Fabry-Pérot (FP) interferometer revealed anyonic quasiparticle exchange statistics in the fractional QHE. When multiple integer edge channels are involved, FP interferometers have exhibited anomalous Aharonov-Bohm (AB) interference frequency doubling, suggesting putative pairing of electrons into 2e quasiparticles. Here, we use a highly tunable graphene-based QHE FP interferometer to observe the connection between interference phase jumps and AB frequency doubling, unveiling how strong repulsive interaction between edge channels leads to the apparent pairing phenomena. By tuning electron density in-situ from filling factor v < 2 to v > 7, we tune the interaction strength and observe periodic interference phase jumps leading to AB frequency doubling. Our observations demonstrate that the combination of repulsive interaction between the spin-split v = 2 edge channels and charge quantization is sufficient to explain the frequency doubling, through a near-perfect charge screening between the localized and extended edge channels. Our results show that interferometers are sensitive probes of microscopic interactions and enable future experiments studying correlated electrons in 1D channels using density-tunable graphene.

Research Organization:
Harvard University, Cambridge, MA (United States)
Sponsoring Organization:
USDOE Office of Science (SC); MEXT, Japan; National Science Foundation (NSF)
Grant/Contract Number:
SC0012260
OSTI ID:
2471897
Journal Information:
Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 15; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (43)

Electron quantum optics in ballistic chiral conductors: Electron quantum optics in ballistic chiral conductors journal December 2013
Graphene-Based Quantum Hall Interferometer with Self-Aligned Side Gates journal November 2022
Aharonov–Bohm Oscillations in Bilayer Graphene Quantum Hall Edge State Fabry–Pérot Interferometers journal January 2023
An electronic Mach–Zehnder interferometer journal March 2003
From quantum matter to high-temperature superconductivity in copper oxides journal February 2015
Observation of interaction-induced modulations of a quantum Hall liquid’s area journal July 2016
Tunable transmission of quantum Hall edge channels with full degeneracy lifting in split-gated graphene devices journal April 2017
Separation of neutral and charge modes in one-dimensional chiral edge channels journal May 2013
Hong-Ou-Mandel experiment for temporal investigation of single-electron fractionalization journal April 2015
Robust electron pairing in the integer quantum hall effect regime journal June 2015
Non-equilibrium edge-channel spectroscopy in the integer quantum Hall regime journal October 2009
Waveform measurement of charge- and spin-density wavepackets in a chiral Tomonaga–Luttinger liquid journal March 2017
Edge channels of broken-symmetry quantum Hall states in graphene visualized by atomic force microscopy journal May 2021
Impact of bulk-edge coupling on observation of anyonic braiding statistics in quantum Hall interferometers journal January 2022
A tunable Fabry–Pérot quantum Hall interferometer in graphene journal February 2021
Aharonov–Bohm effect in graphene-based Fabry–Pérot quantum Hall interferometers journal February 2021
Nanoscale imaging of equilibrium quantum Hall edge currents and of the magnetic monopole response in graphene journal December 2019
Direct observation of anyonic braiding statistics journal September 2020
Anyonic interference and braiding phase in a Mach-Zehnder interferometer journal January 2023
Imaging work and dissipation in the quantum Hall state in graphene journal October 2019
Anyons in quantum Hall interferometry journal September 2021
Role of interactions in an electronic Fabry-Perot interferometer operating in the quantum Hall effect regime journal March 2010
The quantum Hall effect at 5/2 filling factor journal June 2013
Fractional charge and fractional statistics in the quantum Hall effects journal June 2021
Quantum Physics in One Dimension book December 2003
Observation of quantum Hall interferometer phase jumps due to a change in the number of bulk quasiparticles journal March 2020
Robustness of quantum Hall interferometry journal April 2022
Quantum Hall interferometry at finite bias with multiple edge channels journal August 2024
Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential journal February 1982
Quantized transmission of a saddle-point constriction journal April 1990
Electrostatics of edge channels journal August 1992
Two point-contact interferometer for quantum Hall systems journal January 1997
Distinct signatures for Coulomb blockade and Aharonov-Bohm interference in electronic Fabry-Perot interferometers journal June 2009
Theory of the Fabry-Pérot quantum Hall interferometer journal April 2011
Interaction-induced interference in the integer quantum Hall effect journal March 2018
Charge Fractionalization in the Integer Quantum Hall Effect journal April 2014
Correlated Double-Electron Additions at the Edge of a Two-Dimensional Electronic System journal June 2021
Electron Pairing of Interfering Interface-Based Edge Modes journal September 2023
Observation of zero-dimensional states in a one-dimensional electron interferometer journal May 1989
Electron pairing induced by repulsive interactions in tunable one-dimensional platforms journal November 2020
Absence of edge reconstruction for quantum Hall edge channels in graphene devices journal May 2023
Even-denominator fractional quantum Hall states in bilayer graphene journal October 2017
Sub-periods and apparent pairing in integer quantum Hall interferometers journal June 2019

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