Pascal conductance series in ballistic one-dimensional LaAlO 3 /SrTiO 3 channels

Briggeman, Megan; Tomczyk, Michelle; Tian, Binbin; Lee, Hyungwoo; Lee, Jung-Woo; He, Yuchi; Tylan-Tyler, Anthony; Huang, Mengchen; Eom, Chang-Beom; Pekker, David; Mong, Roger S. K.; Irvin, Patrick; Levy, Jeremy

doi:10.1126/science.aat6467

Title: Pascal conductance series in ballistic one-dimensional LaAlO ₃ /SrTiO ₃ channels

Abstract

One-dimensional electronic systems can support exotic collective phases because of the enhanced role of electron correlations. We describe the experimental observation of a series of quantized conductance steps within strongly interacting electron waveguides formed at the lanthanum aluminate–strontium titanate (LaAlO ₃ /SrTiO ₃ ) interface. The waveguide conductance follows a characteristic sequence within Pascal’s triangle: (1, 3, 6, 10, 15, …) ⋅ e ² /h , where e is the electron charge and h is the Planck constant. This behavior is consistent with the existence of a family of degenerate quantum liquids formed from bound states of n = 2, 3, 4, … electrons. Our experimental setup could provide a setting for solid-state analogs of a wide range of composite fermionic phases.

Authors:

^[1];

^[1]; Lee, Hyungwoo ^[2];

^[2]; He, Yuchi ^[3];

^[1]; Huang, Mengchen ^[1];

^[2]; Pekker, David ^[1]; Mong, Roger S. K. ^[1];

^[1];

^[1]

Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, PA 15260, USA., Pittsburgh Quantum Institute, Pittsburgh, PA 15260, USA.
Department of Materials Science and Engineering, University of Wisconsin, Madison, WI 53706, USA.
Pittsburgh Quantum Institute, Pittsburgh, PA 15260, USA., Department of Physics, Carnegie Mellon University, Pittsburgh, PA 15213, USA.

Publication Date:: 2020-02-13

Sponsoring Org.:: USDOE

OSTI Identifier:: 1599696

Grant/Contract Number:: DEFG02-06ER46327; SC0014417

Resource Type:: Published Article

Journal Name:: Science

Additional Journal Information:: Journal Name: Science Journal Volume: 367 Journal Issue: 6479; Journal ID: ISSN 0036-8075

Publisher:: American Association for the Advancement of Science (AAAS)

Country of Publication:: United States

Language:: English

Citation Formats


                    Briggeman, Megan, Tomczyk, Michelle, Tian, Binbin, Lee, Hyungwoo, Lee, Jung-Woo, He, Yuchi, Tylan-Tyler, Anthony, Huang, Mengchen, Eom, Chang-Beom, Pekker, David, Mong, Roger S. K., Irvin, Patrick, and Levy, Jeremy. Pascal conductance series in ballistic one-dimensional LaAlO 3 /SrTiO 3 channels.  United States: N. p., 2020. 
Web.  https://doi.org/10.1126/science.aat6467.

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                    Briggeman, Megan, Tomczyk, Michelle, Tian, Binbin, Lee, Hyungwoo, Lee, Jung-Woo, He, Yuchi, Tylan-Tyler, Anthony, Huang, Mengchen, Eom, Chang-Beom, Pekker, David, Mong, Roger S. K., Irvin, Patrick, & Levy, Jeremy. Pascal conductance series in ballistic one-dimensional LaAlO 3 /SrTiO 3 channels.  United States.  https://doi.org/10.1126/science.aat6467

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                    Briggeman, Megan, Tomczyk, Michelle, Tian, Binbin, Lee, Hyungwoo, Lee, Jung-Woo, He, Yuchi, Tylan-Tyler, Anthony, Huang, Mengchen, Eom, Chang-Beom, Pekker, David, Mong, Roger S. K., Irvin, Patrick, and Levy, Jeremy. Thu .  
"Pascal conductance series in ballistic one-dimensional LaAlO 3 /SrTiO 3 channels".  United States.  https://doi.org/10.1126/science.aat6467.

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@article{osti_1599696,

  title        = {Pascal conductance series in ballistic one-dimensional LaAlO 3 /SrTiO 3 channels},

  author       = {Briggeman, Megan and Tomczyk, Michelle and Tian, Binbin and Lee, Hyungwoo and Lee, Jung-Woo and He, Yuchi and Tylan-Tyler, Anthony and Huang, Mengchen and Eom, Chang-Beom and Pekker, David and Mong, Roger S. K. and Irvin, Patrick and Levy, Jeremy},

  abstractNote = {One-dimensional electronic systems can support exotic collective phases because of the enhanced role of electron correlations. We describe the experimental observation of a series of quantized conductance steps within strongly interacting electron waveguides formed at the lanthanum aluminate–strontium titanate (LaAlO 3 /SrTiO 3 ) interface. The waveguide conductance follows a characteristic sequence within Pascal’s triangle: (1, 3, 6, 10, 15, …) ⋅ e 2 /h , where e is the electron charge and h is the Planck constant. This behavior is consistent with the existence of a family of degenerate quantum liquids formed from bound states of n = 2, 3, 4, … electrons. Our experimental setup could provide a setting for solid-state analogs of a wide range of composite fermionic phases.},

  doi          = {10.1126/science.aat6467},

  journal      = {Science},

  number       = 6479,

  volume       = 367,

  place        = {United States},

  year         = {2020},

  month        = {2}

}

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Title: Pascal conductance series in ballistic one-dimensional LaAlO 3 /SrTiO 3 channels

Abstract

Citation Formats

Few-electron quantum dots journal, May 2001

Quantized conductance of point contacts in a two-dimensional electron gas journal, February 1988

Nonuniversal Conductance Quantization in Quantum Wires journal, November 1996

Critical behaviour of SU(n) quantum chains and topological non-linear σ-models journal, December 1988

Landauer conductance of Luttinger liquids with leads journal, August 1995

Oxide Nanoelectronics on Demand journal, February 2009

The density-matrix renormalization group journal, April 2005

Electron attraction mediated by Coulomb repulsion journal, July 2016

Spin-imbalance in a one-dimensional Fermi gas journal, September 2010

Finding the Elusive Sliding Phase in the Superfluid-Normal Phase Transition Smeared by c -Axis Disorder journal, August 2010

From density-matrix renormalization group to matrix product states journal, October 2007

Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points journal, June 2009

Anomalously Elastic Intermediate Phase in Randomly Layered Superfluids, Superconductors, and Planar Magnets journal, August 2010

“Water-cycle” mechanism for writing and erasing nanostructures at the LaAlO3/SrTiO3 interface journal, October 2010

Quantized Ballistic Transport of Electrons and Electron Pairs in LaAlO 3 /SrTiO 3 Nanowires journal, June 2018

Evidence for Efimov quantum states in an ultracold gas of caesium atoms journal, March 2006

Nanoscale control of an interfacial metal–insulator transition at room temperature journal, March 2008

Fermi gases in one dimension: From Bethe ansatz to experiments journal, November 2013

Density matrix formulation for quantum renormalization groups journal, November 1992

Carbon Nanotube Quantum Resistors journal, June 1998

Giant conductivity switching of LaAlO3/SrTiO3 heterointerfaces governed by surface protonation journal, February 2016

Model for the Electronic Structure of Amorphous Semiconductors journal, April 1975

Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction journal, July 1957

Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study journal, June 2013

Electron pairing without superconductivity journal, May 2015

Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems journal, July 1950

An Exactly Soluble Model of a Many‐Fermion System journal, September 1963

Quantized Conductance in an InSb Nanowire journal, December 2012

Direct observation of a fractional charge journal, September 1997

Color Superfluidity and “Baryon” Formation in Ultracold Fermions journal, April 2007

Tunable Electron-Electron Interactions in LaAlO 3 / SrTiO 3 Nanostructures journal, December 2016

Exact Solution of a Many‐Fermion System and Its Associated Boson Field journal, February 1965

Sliding Phases in XY Models, Crystals, and Cationic Lipid-DNA Complexes journal, October 1999

Pairing in Luttinger Liquids and Quantum Hall States journal, July 2017

One-dimensional transport and the quantisation of the ballistic resistance journal, March 1988

Title: Pascal conductance series in ballistic one-dimensional LaAlO ₃ /SrTiO ₃ channels

Few-electron quantum dots
journal, May 2001

Quantized conductance of point contacts in a two-dimensional electron gas
journal, February 1988

Nonuniversal Conductance Quantization in Quantum Wires
journal, November 1996

Critical behaviour of SU(n) quantum chains and topological non-linear σ-models
journal, December 1988

Landauer conductance of Luttinger liquids with leads
journal, August 1995

Oxide Nanoelectronics on Demand
journal, February 2009

The density-matrix renormalization group
journal, April 2005

Electron attraction mediated by Coulomb repulsion
journal, July 2016

Spin-imbalance in a one-dimensional Fermi gas
journal, September 2010

Finding the Elusive Sliding Phase in the Superfluid-Normal Phase Transition Smeared by $c$ -Axis Disorder
journal, August 2010

From density-matrix renormalization group to matrix product states
journal, October 2007

Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points
journal, June 2009

Anomalously Elastic Intermediate Phase in Randomly Layered Superfluids, Superconductors, and Planar Magnets
journal, August 2010

“Water-cycle” mechanism for writing and erasing nanostructures at the LaAlO3/SrTiO3 interface
journal, October 2010

Quantized Ballistic Transport of Electrons and Electron Pairs in LaAlO ₃ /SrTiO ₃ Nanowires
journal, June 2018

Evidence for Efimov quantum states in an ultracold gas of caesium atoms
journal, March 2006

Nanoscale control of an interfacial metal–insulator transition at room temperature
journal, March 2008

Fermi gases in one dimension: From Bethe ansatz to experiments
journal, November 2013

Density matrix formulation for quantum renormalization groups
journal, November 1992

Carbon Nanotube Quantum Resistors
journal, June 1998

Giant conductivity switching of LaAlO3/SrTiO3 heterointerfaces governed by surface protonation
journal, February 2016

Model for the Electronic Structure of Amorphous Semiconductors
journal, April 1975

Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction
journal, July 1957

Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study
journal, June 2013

Electron pairing without superconductivity
journal, May 2015

Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems
journal, July 1950

An Exactly Soluble Model of a Many‐Fermion System
journal, September 1963

Quantized Conductance in an InSb Nanowire
journal, December 2012

Direct observation of a fractional charge
journal, September 1997

Color Superfluidity and “Baryon” Formation in Ultracold Fermions
journal, April 2007

Tunable Electron-Electron Interactions in ${LaAlO}_{3} / {SrTiO}_{3}$ Nanostructures
journal, December 2016

Exact Solution of a Many‐Fermion System and Its Associated Boson Field
journal, February 1965

Sliding Phases in $XY$ Models, Crystals, and Cationic Lipid-DNA Complexes
journal, October 1999

Pairing in Luttinger Liquids and Quantum Hall States
journal, July 2017

One-dimensional transport and the quantisation of the ballistic resistance
journal, March 1988