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Title: Frustrated supercritical collapse in tunable charge arrays on graphene

Journal Article · · Nature Communications
 [1];  [2];  [3];  [4];  [5];  [4];  [6];  [7];  [8];  [8];  [9]; ORCiD logo [3]; ORCiD logo [9]
  1. Univ. of California, Berkeley, CA (United States); National Univ. of Singapore (Singapore)
  2. Univ. of California, Berkeley, CA (United States); Shenzhen Univ., Shenzhen (China); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. National Univ. of Singapore (Singapore)
  4. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  5. Univ. of California, Berkeley, CA (United States)
  6. Univ. of California, Berkeley, CA (United States); Technical Univ. of Munich (Germany)
  7. Univ. of California, Berkeley, CA (United States); Politecnico di Torino, Torino (Italy)
  8. National Inst. for Materials, Science, Tsukuba (Japan)
  9. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Kavli Energy NanoSciences Inst.

The photon-like behavior of electrons in graphene causes unusual confinement properties that depend strongly on the geometry and strength of the surrounding potential. We report bottom-up synthesis of atomically-precise one-dimensional (1D) arrays of point charges on graphene that allow exploration of a new type of supercritical confinement of graphene carriers. The arrays were synthesized by arranging F4TCNQ molecules into a 1D lattice on back-gated graphene, allowing precise tuning of both the molecular charge and the array periodicity. While dilute arrays of ionized F4TCNQ molecules are seen to behave like isolated subcritical charges, dense arrays show emergent supercriticality. In contrast to compact supercritical clusters, these extended arrays display both supercritical and subcritical characteristics and belong to a new physical regime termed "frustrated supercritical collapse". Here carriers in the far-field are attracted by a supercritical charge distribution, but their fall to the center is frustrated by subcritical potentials in the near-field, similar to trapping of light by a dense cluster of stars in general relativity.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; National Science Foundation (NSF); Singapore National Research Foundation
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1580359
Journal Information:
Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 10; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English

References (73)

Templating Sub-10 nm Atomic Layer Deposited Oxide Nanostructures on Graphene via One-Dimensional Organic Self-Assembled Monolayers journal March 2013
Tuning charge and correlation effects for a single molecule on a graphene device journal November 2016
Tuning a circular p–n junction in graphene from quantum confinement to optical guiding journal September 2017
Gate-controlled ionization and screening of cobalt adatoms on a graphene surface journal October 2010
Realization of a tunable artificial atom at a supercritically charged vacancy in graphene journal February 2016
Biperiodic superlattices and transparent states in graphene journal January 2022
WSXM : A software for scanning probe microscopy and a tool for nanotechnology journal January 2007
Dielectric function and plasmon structure of stage-1 intercalated graphite journal July 1986
Supercritical instability in graphene with two charged impurities journal November 2013
Observation of Carrier-Density-Dependent Many-Body Effects in Graphene via Tunneling Spectroscopy journal January 2010
Gating the Charge State of Single Molecules by Local Electric Fields journal January 2012
Tunable Plasmonic Reflection by Bound 1D Electron States in a 2D Dirac Metal journal August 2016
Charging and Interaction of Individual Impurities in a Monolayer Organic Crystal journal October 2005
Vacuum Polarization and Screening of Supercritical Impurities in Graphene journal December 2007
Atomic Collapse and Quasi–Rydberg States in Graphene journal December 2007
Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities journal August 2014
The Coulomb impurity problem in graphene text January 2007
Giant Phonon-induced Conductance in Scanning Tunneling Spectroscopy of Gate-tunable Graphene text January 2008
Quantum interference and Klein tunneling in graphene heterojunctions text January 2008
Mapping Dirac Quasiparticles near a Single Coulomb Impurity on Graphene text January 2012
Observing Atomic Collapse Resonances in Artificial Nuclei on Graphene text January 2015
The recursive solution of the Schrödinger equation journal September 1980
Templating Sub-10 nm Atomic Layer Deposited Oxide Nanostructures on Graphene via One-Dimensional Organic Self-Assembled Monolayers journal March 2013
Tuning charge and correlation effects for a single molecule on a graphene device journal November 2016
Tuning a circular p–n junction in graphene from quantum confinement to optical guiding journal September 2017
Giant phonon-induced conductance in scanning tunnelling spectroscopy of gate-tunable graphene journal July 2008
Quantum interference and Klein tunnelling in graphene heterojunctions journal February 2009
Gate-controlled ionization and screening of cobalt adatoms on a graphene surface journal October 2010
Mapping Dirac quasiparticles near a single Coulomb impurity on graphene journal July 2012
Realization of a tunable artificial atom at a supercritically charged vacancy in graphene journal February 2016
Chiral tunnelling and the Klein paradox in graphene journal August 2006
An Information Theory-Inspired Strategy for Design of Re-programmable Encrypted Graphene-based Coding Metasurfaces at Terahertz Frequencies journal April 2018
WSXM : A software for scanning probe microscopy and a tool for nanotechnology journal January 2007
Electronic Structure of Superheavy Atoms journal June 1972
Quantum electrodynamics of strong fields journal March 1977
The Band Theory of Graphite journal May 1947
Dielectric function and plasmon structure of stage-1 intercalated graphite journal July 1986
Elastic scattering theory and transport in graphene journal December 2007
Effect of charge manipulation on scanning tunneling spectra of single Mn acceptors in InAs journal March 2008
Supercritical Coulomb impurities in gapped graphene journal August 2008
Supercritical Coulomb center and excitonic instability in graphene journal October 2009
Supercritical instability in graphene with two charged impurities journal November 2013
Spatially resolving density-dependent screening around a single charged atom in graphene journal May 2017
Observation of Carrier-Density-Dependent Many-Body Effects in Graphene via Tunneling Spectroscopy journal January 2010
Gating the Charge State of Single Molecules by Local Electric Fields journal January 2012
Tunable Plasmonic Reflection by Bound 1D Electron States in a 2D Dirac Metal journal August 2016
Atomic Scale Conductance Induced by Single Impurity Charging journal February 2005
Charging and Interaction of Individual Impurities in a Monolayer Organic Crystal journal October 2005
Coulomb Impurity Problem in Graphene journal October 2007
Vacuum Polarization and Screening of Supercritical Impurities in Graphene journal December 2007
Atomic Collapse and Quasi–Rydberg States in Graphene journal December 2007
The electronic properties of graphene journal January 2009
Electron-Electron Interactions in Graphene: Current Status and Perspectives journal July 2012
Unfamiliar trajectories for a relativistic particle in a Kepler or Coulomb potential journal August 2004
Observing Atomic Collapse Resonances in Artificial Nuclei on Graphene journal March 2013
Electron optics with p-n junctions in ballistic graphene journal September 2016
Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities journal August 2014
Electronic structure of superheavy atoms [Электронная структура сверхтяжелых атомов] journal January 1971
Fabrication of Gate-tunable Graphene Devices for Scanning Tunneling Microscopy Studies with Coulomb Impurities journal January 2015
Vacuum Polarization and Screening of Supercritical Impurities in Graphene text January 2007
Atomic Collapse and Quasi-Rydberg States in Graphene text January 2007
The electronic properties of graphene text January 2007
Giant Phonon-induced Conductance in Scanning Tunneling Spectroscopy of Gate-tunable Graphene text January 2008
Supercritical Coulomb Impurities in Gapped Graphene text January 2008
Electron-Electron Interactions in Graphene: Current Status and Perspectives text January 2010
Mapping Dirac Quasiparticles near a Single Coulomb Impurity on Graphene text January 2012
Supercritical instability in graphene with two charged impurities text January 2013
Scattering theory and ground-state energy of Dirac fermions in graphene with two Coulomb impurities text January 2014
Realization of a Tunable Artificial Atom at a Supercritically Charged Vacancy in Graphene text January 2015
Spatially resolving density-dependent screening around a single charged atom in graphene text January 2017
Tuning a Circular p-n Junction in Graphene from Quantum Confinement to Optical Guiding text January 2017
Chiral tunneling and the Klein paradox in graphene text January 2006
Unfamiliar trajectories for a relativistic particle in a Kepler or Coulomb potential text January 2004

Cited By (3)

Molecular collapse in monolayer graphene journal September 2019
Guiding Dirac Fermions in Graphene with a Carbon Nanotube journal November 2019
Molecular collapse in monolayer graphene text January 2019