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Title: Mach-Zehnder interferometry using spin- and valley-polarized quantum Hall edge states in graphene

Abstract

Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogs of monochromatic beams of light, providing a unique platform for studying electron interference. Electron interferometry is regarded as one of the most promising routes for studying fractional and non-Abelian statistics and quantum entanglement via two-particle interference. However, creating an edge-channel interferometer in which electron-electron interactions play an important role requires a clean system and long phase coherence lengths. We realize electronic Mach-Zehnder interferometers with record visibilities of up to 98% using spin- and valley-polarized edge channels that copropagate along a pn junction in graphene. We find that interchannel scattering between same-spin edge channels along the physical graphene edge can be used to form beamsplitters, whereas the absence of interchannel scattering along gate-defined interfaces can be used to form isolated interferometer arms. Surprisingly, our interferometer is robust to dephasing effects at energies an order of magnitude larger than those observed in pioneering experiments on GaAs/AlGaAs quantum wells. Lastly, our results shed light on the nature of edge-channel equilibration and open up new possibilities for studying exotic electron statisticsmore » and quantum phenomena.« less

Authors:
 [1]; ORCiD logo [2]; ORCiD logo [3]; ORCiD logo [4];  [4];  [5]; ORCiD logo [2]; ORCiD logo [6]
  1. Harvard Univ., Cambridge, MA (United States). John A. Paulson School of Engineering and Applied Sciences
  2. Harvard Univ., Cambridge, MA (United States). Dept. of Physics
  3. Harvard Univ., Cambridge, MA (United States). Dept. of Physics; Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
  4. National Inst. for Materials Science (NIMS), Tsukuba (Japan). Advanced Materials Lab.
  5. Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States). Dept. of Physics
  6. Harvard Univ., Cambridge, MA (United States). John A. Paulson School of Engineering and Applied Sciences; Harvard Univ., Cambridge, MA (United States). Dept. of Physics
Publication Date:
Research Org.:
Harvard Univ., Cambridge, MA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF)
OSTI Identifier:
1463899
Grant/Contract Number:  
SC0001819; DGE1144152; DMR-1231319; JP26248061; JP15K21722; JP25106006
Resource Type:
Accepted Manuscript
Journal Name:
Science Advances
Additional Journal Information:
Journal Volume: 3; Journal Issue: 8; Journal ID: ISSN 2375-2548
Publisher:
AAAS
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE

Citation Formats

Wei, Di S., van der Sar, Toeno, Sanchez-Yamagishi, Javier D., Watanabe, Kenji, Taniguchi, Takashi, Jarillo-Herrero, Pablo, Halperin, Bertrand I., and Yacoby, Amir. Mach-Zehnder interferometry using spin- and valley-polarized quantum Hall edge states in graphene. United States: N. p., 2017. Web. doi:10.1126/sciadv.1700600.
Wei, Di S., van der Sar, Toeno, Sanchez-Yamagishi, Javier D., Watanabe, Kenji, Taniguchi, Takashi, Jarillo-Herrero, Pablo, Halperin, Bertrand I., & Yacoby, Amir. Mach-Zehnder interferometry using spin- and valley-polarized quantum Hall edge states in graphene. United States. https://doi.org/10.1126/sciadv.1700600
Wei, Di S., van der Sar, Toeno, Sanchez-Yamagishi, Javier D., Watanabe, Kenji, Taniguchi, Takashi, Jarillo-Herrero, Pablo, Halperin, Bertrand I., and Yacoby, Amir. Fri . "Mach-Zehnder interferometry using spin- and valley-polarized quantum Hall edge states in graphene". United States. https://doi.org/10.1126/sciadv.1700600. https://www.osti.gov/servlets/purl/1463899.
@article{osti_1463899,
title = {Mach-Zehnder interferometry using spin- and valley-polarized quantum Hall edge states in graphene},
author = {Wei, Di S. and van der Sar, Toeno and Sanchez-Yamagishi, Javier D. and Watanabe, Kenji and Taniguchi, Takashi and Jarillo-Herrero, Pablo and Halperin, Bertrand I. and Yacoby, Amir},
abstractNote = {Confined to a two-dimensional plane, electrons in a strong magnetic field travel along the edge in one-dimensional quantum Hall channels that are protected against backscattering. These channels can be used as solid-state analogs of monochromatic beams of light, providing a unique platform for studying electron interference. Electron interferometry is regarded as one of the most promising routes for studying fractional and non-Abelian statistics and quantum entanglement via two-particle interference. However, creating an edge-channel interferometer in which electron-electron interactions play an important role requires a clean system and long phase coherence lengths. We realize electronic Mach-Zehnder interferometers with record visibilities of up to 98% using spin- and valley-polarized edge channels that copropagate along a pn junction in graphene. We find that interchannel scattering between same-spin edge channels along the physical graphene edge can be used to form beamsplitters, whereas the absence of interchannel scattering along gate-defined interfaces can be used to form isolated interferometer arms. Surprisingly, our interferometer is robust to dephasing effects at energies an order of magnitude larger than those observed in pioneering experiments on GaAs/AlGaAs quantum wells. Lastly, our results shed light on the nature of edge-channel equilibration and open up new possibilities for studying exotic electron statistics and quantum phenomena.},
doi = {10.1126/sciadv.1700600},
journal = {Science Advances},
number = 8,
volume = 3,
place = {United States},
year = {Fri Aug 18 00:00:00 EDT 2017},
month = {Fri Aug 18 00:00:00 EDT 2017}
}

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Works referenced in this record:

Electronic Transport in Mesoscopic Systems
book, January 2013


Experimental observation of the quantum Hall effect and Berry's phase in graphene
journal, November 2005

  • Zhang, Yuanbo; Tan, Yan-Wen; Stormer, Horst L.
  • Nature, Vol. 438, Issue 7065, p. 201-204
  • DOI: 10.1038/nature04235

Selective Equilibration of Spin-Polarized Quantum Hall Edge States in Graphene
journal, May 2014


Quantum Hall Effect in a Gate-Controlled p-n Junction of Graphene
journal, August 2007


Electrical transport in high-quality graphene pnp junctions
journal, September 2009


Spin and valley quantum Hall ferromagnetism in graphene
journal, May 2012

  • Young, A. F.; Dean, C. R.; Wang, L.
  • Nature Physics, Vol. 8, Issue 7
  • DOI: 10.1038/nphys2307

Unexpected Behavior in a Two-Path Electron Interferometer
journal, January 2006


Detecting Non-Abelian Statistics with an Electronic Mach-Zehnder Interferometer
journal, November 2006


Edge-Channel Transport of Dirac Fermions in Graphene Quantum Hall Junctions
journal, December 2015

  • Machida, Tomoki; Morikawa, Sei; Masubuchi, Satoru
  • Journal of the Physical Society of Japan, Vol. 84, Issue 12
  • DOI: 10.7566/JPSJ.84.121007

Phase diagram for the ν = 0 quantum Hall state in monolayer graphene
journal, April 2012


Valley-isospin dependence of the quantum Hall effect in a graphene p n junction
journal, July 2007


Gate-controlled conductance enhancement from quantum Hall channels along graphene p–n junctions
journal, January 2016

  • Tóvári, Endre; Makk, Péter; Liu, Ming-Hao
  • Nanoscale, Vol. 8, Issue 47
  • DOI: 10.1039/C6NR05100F

Snake trajectories in ultraclean graphene p–n junctions
journal, March 2015

  • Rickhaus, Peter; Makk, Péter; Liu, Ming-Hao
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7470

One-Dimensional Electrical Contact to a Two-Dimensional Material
journal, October 2013


Conductance oscillations induced by ballistic snake states in a graphene heterojunction
journal, February 2015

  • Taychatanapat, Thiti; Tan, Jun You; Yeo, Yuting
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7093

Interference between two indistinguishable electrons from independent sources
journal, July 2007


Gate-Defined Graphene Quantum Point Contact in the Quantum Hall Regime
journal, July 2011


Tunable transmission of quantum Hall edge channels with full degeneracy lifting in split-gated graphene devices
journal, April 2017

  • Zimmermann, Katrin; Jordan, Anna; Gay, Frédéric
  • Nature Communications, Vol. 8, Issue 1
  • DOI: 10.1038/ncomms14983

Electronic Mach-Zehnder interferometer as a tool to probe fractional statistics
journal, July 2006


Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
journal, December 2013

  • Young, A. F.; Sanchez-Yamagishi, J. D.; Hunt, B.
  • Nature, Vol. 505, Issue 7484
  • DOI: 10.1038/nature12800

Two point-contact interferometer for quantum Hall systems
journal, January 1997


Finite bias visibility of the electronic Mach-Zehnder interferometer
journal, October 2007


Bell’s-inequality experiments using independent-particle sources
journal, September 1992


The electronic properties of graphene
journal, January 2009

  • Castro Neto, A. H.; Guinea, F.; Peres, N. M. R.
  • Reviews of Modern Physics, Vol. 81, Issue 1, p. 109-162
  • DOI: 10.1103/RevModPhys.81.109

Electronic Transport and Quantum Hall Effect in Bipolar Graphene p n p Junctions
journal, October 2007


Edge-State Velocity and Coherence in a Quantum Hall Fabry-Pérot Interferometer
journal, November 2009


Quantized Transport in Graphene p-n Junctions in a Magnetic Field
journal, August 2007


Finite-bias visibility dependence in an electronic Mach-Zehnder interferometer
journal, June 2009


Oscillating Magnetoresistance in Graphene p–n Junctions at Intermediate Magnetic Fields
journal, April 2017


An electronic Mach–Zehnder interferometer
journal, March 2003


Edge-state transport in graphene p n junctions in the quantum Hall regime
journal, December 2015


Edge mixing dynamics in graphene p–n junctions in the quantum Hall regime
journal, September 2015

  • Matsuo, Sadashige; Takeshita, Shunpei; Tanaka, Takahiro
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9066

An electronic Mach–Zehnder interferometer
journal, March 2003


Interference between two indistinguishable electrons from independent sources
journal, July 2007


Tunable symmetry breaking and helical edge transport in a graphene quantum spin Hall state
journal, December 2013

  • Young, A. F.; Sanchez-Yamagishi, J. D.; Hunt, B.
  • Nature, Vol. 505, Issue 7484
  • DOI: 10.1038/nature12800

Conductance oscillations induced by ballistic snake states in a graphene heterojunction
journal, February 2015

  • Taychatanapat, Thiti; Tan, Jun You; Yeo, Yuting
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms7093

Edge mixing dynamics in graphene p–n junctions in the quantum Hall regime
journal, September 2015

  • Matsuo, Sadashige; Takeshita, Shunpei; Tanaka, Takahiro
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms9066

Snake States along Graphene p n Junctions
journal, July 2011


Two-Particle Aharonov-Bohm Effect and Entanglement in the Electronic Hanbury Brown–Twiss Setup
journal, January 2004


One-Dimensional Electrical Contact to a Two-Dimensional Material
journal, October 2013


Finite bias visibility of the electronic Mach-Zehnder interferometer
text, January 2007


Quantized Transport in Graphene p-n Junctions in Magnetic Field
text, January 2007


Valley-isospin dependence of the quantum Hall effect in a graphene p-n junction
text, January 2007


Snake Trajectories in Ultraclean Graphene p-n Junctions
text, January 2015


Gate-controlled conductance enhancement from quantum Hall channels along graphene p-n junctions
preprint, January 2016


Works referencing / citing this record:

Tunable interacting composite fermion phases in a half-filled bilayer-graphene Landau level
journal, September 2017


Fabry–Pérot resonances and a crossover to the quantum Hall regime in ballistic graphene quantum point contacts
journal, February 2019


Effect of gap width on electron transport through quantum point contact in hBN/graphene/hBN in the quantum Hall regime
journal, January 2019

  • Ahmad, Nurul Fariha; Iwasaki, Takuya; Komatsu, Katsuyoshi
  • Applied Physics Letters, Vol. 114, Issue 2
  • DOI: 10.1063/1.5067296

Michelson interferometry of high-order harmonic generation in solids
journal, July 2018

  • Jin, Jian-Zhao; Liang, Hao; Xiao, Xiang-Ru
  • Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 51, Issue 16
  • DOI: 10.1088/1361-6455/aad40b

Stepped graphene-based Aharonov–Bohm interferometers
journal, September 2019


Splitting of conductance resonance through a magnetic quantum dot in graphene
journal, July 2019


Design of graphene waveguides: Effect of edge orientation and waveguide configuration
journal, September 2019


Graphene n p junctions in the quantum Hall regime: Numerical study of incoherent scattering effects
journal, May 2018


Coexistence of classical snake states and Aharonov-Bohm oscillations along graphene p n junctions
journal, July 2018


Taming electronic decoherence in one-dimensional chiral ballistic quantum conductors
journal, October 2018


Electrical generation and detection of spin waves in a quantum Hall ferromagnet
journal, October 2018


Co-existence of classical snake states and Aharanov-Bohm oscillations along graphene p-n junctions
text, January 2018

  • Makk, Péter; Handschin, Clevin; Tóvári, Endre
  • Universität Regensburg
  • DOI: 10.5283/epub.37258

Splitting of conductance resonance through a magnetic quantum dot in graphene
text, January 2018


Stepped Graphene-based Aharonov-Bohm Interferometers
text, January 2018


Michelson Interferometry of High-order Harmonic Generation in Solids
text, January 2018


Fabry–Pérot resonances and a crossover to the quantum Hall regime in ballistic graphene quantum point contacts
journal, February 2019