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:
-
- 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:
- 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. doi:10.1126/science.aat6467.
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
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.
@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}
}
https://doi.org/10.1126/science.aat6467
Web of Science
Works referenced in this record:
Few-electron quantum dots
journal, May 2001
- Kouwenhoven, L. P.; Austing, D. G.; Tarucha, S.
- Reports on Progress in Physics, Vol. 64, Issue 6
Quantized conductance of point contacts in a two-dimensional electron gas
journal, February 1988
- van Wees, B. J.; van Houten, H.; Beenakker, C. W. J.
- Physical Review Letters, Vol. 60, Issue 9
Nonuniversal Conductance Quantization in Quantum Wires
journal, November 1996
- Yacoby, A.; Stormer, H. L.; Wingreen, Ned S.
- Physical Review Letters, Vol. 77, Issue 22
Critical behaviour of SU(n) quantum chains and topological non-linear σ-models
journal, December 1988
- Affleck, Ian
- Nuclear Physics B, Vol. 305, Issue 4
Landauer conductance of Luttinger liquids with leads
journal, August 1995
- Maslov, Dmitrii L.; Stone, Michael
- Physical Review B, Vol. 52, Issue 8
Oxide Nanoelectronics on Demand
journal, February 2009
- Cen, C.; Thiel, S.; Mannhart, J.
- Science, Vol. 323, Issue 5917
The density-matrix renormalization group
journal, April 2005
- Schollwöck, U.
- Reviews of Modern Physics, Vol. 77, Issue 1
Electron attraction mediated by Coulomb repulsion
journal, July 2016
- Hamo, A.; Benyamini, A.; Shapir, I.
- Nature, Vol. 535, Issue 7612
Spin-imbalance in a one-dimensional Fermi gas
journal, September 2010
- Liao, Yean-an; Rittner, Ann Sophie C.; Paprotta, Tobias
- Nature, Vol. 467, Issue 7315
Finding the Elusive Sliding Phase in the Superfluid-Normal Phase Transition Smeared by -Axis Disorder
journal, August 2010
- Pekker, David; Refael, Gil; Demler, Eugene
- Physical Review Letters, Vol. 105, Issue 8
From density-matrix renormalization group to matrix product states
journal, October 2007
- McCulloch, Ian P.
- Journal of Statistical Mechanics: Theory and Experiment, Vol. 2007, Issue 10
Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points
journal, June 2009
- Pollmann, Frank; Mukerjee, Subroto; Turner, Ari M.
- Physical Review Letters, Vol. 102, Issue 25
Anomalously Elastic Intermediate Phase in Randomly Layered Superfluids, Superconductors, and Planar Magnets
journal, August 2010
- Mohan, Priyanka; Goldbart, Paul M.; Narayanan, Rajesh
- Physical Review Letters, Vol. 105, Issue 8
“Water-cycle” mechanism for writing and erasing nanostructures at the LaAlO3/SrTiO3 interface
journal, October 2010
- Bi, Feng; Bogorin, Daniela F.; Cen, Cheng
- Applied Physics Letters, Vol. 97, Issue 17
Quantized Ballistic Transport of Electrons and Electron Pairs in LaAlO 3 /SrTiO 3 Nanowires
journal, June 2018
- Annadi, Anil; Cheng, Guanglei; Lee, Hyungwoo
- Nano Letters, Vol. 18, Issue 7
Evidence for Efimov quantum states in an ultracold gas of caesium atoms
journal, March 2006
- Kraemer, T.; Mark, M.; Waldburger, P.
- Nature, Vol. 440, Issue 7082
Nanoscale control of an interfacial metal–insulator transition at room temperature
journal, March 2008
- Cen, C.; Thiel, S.; Hammerl, G.
- Nature Materials, Vol. 7, Issue 4
Fermi gases in one dimension: From Bethe ansatz to experiments
journal, November 2013
- Guan, Xi-Wen; Batchelor, Murray T.; Lee, Chaohong
- Reviews of Modern Physics, Vol. 85, Issue 4
Density matrix formulation for quantum renormalization groups
journal, November 1992
- White, Steven R.
- Physical Review Letters, Vol. 69, Issue 19
Giant conductivity switching of LaAlO3/SrTiO3 heterointerfaces governed by surface protonation
journal, February 2016
- Brown, Keith A.; He, Shu; Eichelsdoerfer, Daniel J.
- Nature Communications, Vol. 7, Issue 1
Model for the Electronic Structure of Amorphous Semiconductors
journal, April 1975
- Anderson, P. W.
- Physical Review Letters, Vol. 34, Issue 15
Spatial Variation of Currents and Fields Due to Localized Scatterers in Metallic Conduction
journal, July 1957
- Landauer, R.
- IBM Journal of Research and Development, Vol. 1, Issue 3
Phase diagram of the anisotropic spin-2 XXZ model: Infinite-system density matrix renormalization group study
journal, June 2013
- Kjäll, Jonas A.; Zaletel, Michael P.; Mong, Roger S. K.
- Physical Review B, Vol. 87, Issue 23
Electron pairing without superconductivity
journal, May 2015
- Cheng, Guanglei; Tomczyk, Michelle; Lu, Shicheng
- Nature, Vol. 521, Issue 7551
Remarks on Bloch's Method of Sound Waves applied to Many-Fermion Problems
journal, July 1950
- Tomonaga, S. -i.
- Progress of Theoretical Physics, Vol. 5, Issue 4
An Exactly Soluble Model of a Many‐Fermion System
journal, September 1963
- Luttinger, J. M.
- Journal of Mathematical Physics, Vol. 4, Issue 9
Quantized Conductance in an InSb Nanowire
journal, December 2012
- van Weperen, Ilse; Plissard, Sébastien R.; Bakkers, Erik P. A. M.
- Nano Letters, Vol. 13, Issue 2
Direct observation of a fractional charge
journal, September 1997
- de-Picciotto, R.; Reznikov, M.; Heiblum, M.
- Nature, Vol. 389, Issue 6647
Color Superfluidity and “Baryon” Formation in Ultracold Fermions
journal, April 2007
- Rapp, Ákos; Zaránd, Gergely; Honerkamp, Carsten
- Physical Review Letters, Vol. 98, Issue 16
Tunable Electron-Electron Interactions in Nanostructures
journal, December 2016
- Cheng, Guanglei; Tomczyk, Michelle; Tacla, Alexandre B.
- Physical Review X, Vol. 6, Issue 4
Exact Solution of a Many‐Fermion System and Its Associated Boson Field
journal, February 1965
- Mattis, Daniel C.; Lieb, Elliott H.
- Journal of Mathematical Physics, Vol. 6, Issue 2
Sliding Phases in Models, Crystals, and Cationic Lipid-DNA Complexes
journal, October 1999
- O'Hern, C. S.; Lubensky, T. C.; Toner, J.
- Physical Review Letters, Vol. 83, Issue 14
Pairing in Luttinger Liquids and Quantum Hall States
journal, July 2017
- Kane, Charles L.; Stern, Ady; Halperin, Bertrand I.
- Physical Review X, Vol. 7, Issue 3
One-dimensional transport and the quantisation of the ballistic resistance
journal, March 1988
- Wharam, D. A.; Thornton, T. J.; Newbury, R.
- Journal of Physics C: Solid State Physics, Vol. 21, Issue 8