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Title: Torsional force microscopy of van der Waals moirés and atomic lattices

Journal Article · · Proceedings of the National Academy of Sciences of the United States of America
ORCiD logo [1];  [2];  [1]; ORCiD logo [2];  [3];  [2];  [2];  [1];  [4]; ORCiD logo [5];  [6];  [7];  [8]; ORCiD logo [9];  [1];  [2]
  1. Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, Department of Materials Science and Engineering, Stanford University, Stanford, CA 94305
  2. Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, Department of Physics, Stanford University, Stanford, CA 94305
  3. Materials Physics Department, Sandia National Laboratories, Livermore, CA 94550
  4. Independent Researcher, Palo Alto, CA 94305
  5. Research Center for Electronic and Optical Materials, National Institute for Materials Science, Tsukuba 305-0044, Japan
  6. Research Center for Materials Nanoarchitectonics, National Institute for Materials Science, Tsukuba 305-0044, Japan
  7. Bruker Nano Surfaces, AFM Unit, Santa Barbara, CA 93117
  8. Stanford Nano Shared Facilities, Stanford University, Stanford, CA 94305
  9. Stanford Institute for Materials and Energy Sciences, SLAC National Accelerator Laboratory, Menlo Park, CA 94025, Department of Physics, Stanford University, Stanford, CA 94305, Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139

In a stack of atomically thin van der Waals layers, introducing interlayer twist creates a moiré superlattice whose period is a function of twist angle. Changes in that twist angle of even hundredths of a degree can dramatically transform the system’s electronic properties. Setting a precise and uniform twist angle for a stack remains difficult; hence, determining that twist angle and mapping its spatial variation is very important. Techniques have emerged to do this by imaging the moiré, but most of these require sophisticated infrastructure, time-consuming sample preparation beyond stack synthesis, or both. In this work, we show that torsional force microscopy (TFM), a scanning probe technique sensitive to dynamic friction, can reveal surface and shallow subsurface structure of van der Waals stacks on multiple length scales: the moirés formed between bi-layers of graphene and between graphene and hexagonal boron nitride (hBN) and also the atomic crystal lattices of graphene and hBN. In TFM, torsional motion of an Atomic Force Microscope (AFM) cantilever is monitored as it is actively driven at a torsional resonance while a feedback loop maintains contact at a set force with the sample surface. TFM works at room temperature in air, with no need for an electrical bias between the tip and the sample, making it applicable to a wide array of samples. It should enable determination of precise structural information including twist angles and strain in moiré superlattices and crystallographic orientation of van der Waals flakes to support predictable moiré heterostructure fabrication.

Sponsoring Organization:
USDOE
Grant/Contract Number:
AC02-76SF00515; NA0003525
OSTI ID:
2317702
Alternate ID(s):
OSTI ID: 2403415
Journal Information:
Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 10 Vol. 121; ISSN 0027-8424
Publisher:
Proceedings of the National Academy of SciencesCopyright Statement
Country of Publication:
United States
Language:
English

References (44)

Flat bands in slightly twisted bilayer graphene: Tight-binding calculations journal September 2010
Intrinsic quantized anomalous Hall effect in a moiré heterostructure journal December 2019
Visualization of moiré superlattices journal June 2020
A non-contact, thermal noise based method for the calibration of lateral deflection sensitivity in atomic force microscopy journal November 2014
Emergent ferromagnetism near three-quarters filling in twisted bilayer graphene journal July 2019
Lateral force calibration of an atomic force microscope with a diamagnetic levitation spring system journal June 2006
Probing local lateral forces of focal adhesions and cell–cell junctions of living cells by torsional force spectroscopy journal January 2023
Dual-Scale Stick-Slip Friction on Graphene/h−BN Moiré Superlattice Structure journal June 2022
Programming twist angle and strain profiles in 2D materials journal August 2023
Unusual magnetotransport in twisted bilayer graphene from strain-induced open Fermi surfaces journal August 2023
Moire bands in twisted double-layer graphene journal July 2011
Relaxation and domain formation in incommensurate two-dimensional heterostructures journal December 2018
Torsional Resonance Microscopy and Its Applications book January 2007
Torsional frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope journal November 2002
Velocity Dependence of Moiré Friction journal November 2022
Robotic four-dimensional pixel assembly of van der Waals solids journal January 2022
Unusual magnetotransport in twisted bilayer graphene journal April 2022
Friction force microscopy: a simple technique for identifying graphene on rough substrates and mapping the orientation of graphene grains on copper journal May 2013
The limits of near field immersion microwave microscopy evaluated by imaging bilayer graphene moiré patterns journal May 2021
Reproducibility in the fabrication and physics of moiré materials journal February 2022
Nanoscale lattice dynamics in hexagonal boron nitride moiré superlattices journal September 2021
Transport between twisted graphene layers journal June 2010
Breakthrough instruments and products: DriveAFM for high-performance atomic force microscopy journal December 2021
Excitons in strain-induced one-dimensional moiré potentials at transition metal dichalcogenide heterojunctions journal July 2020
Torsional and lateral eigenmode oscillations for atomic resolution imaging of HOPG in air under ambient conditions journal May 2022
True Atomic-Resolution Surface Imaging and Manipulation under Ambient Conditions via Conductive Atomic Force Microscopy journal October 2022
Structural and electron diffraction scaling of twisted graphene bilayers journal March 2018
Atomic and electronic reconstruction at the van der Waals interface in twisted bilayer graphene journal April 2019
Frequency modulation torsional resonance mode AFM on chlorite (001) journal March 2008
Unconventional superconductivity in magic-angle graphene superlattices journal March 2018
Normal and torsional spring constants of atomic force microscope cantilevers journal June 2004
Correlated insulator behaviour at half-filling in magic-angle graphene superlattices journal March 2018
Imaging of 2-Dimensional Dislocation Networks in Twisted Bilayer Graphene and Beyond journal July 2020
Stacking-engineered ferroelectricity in bilayer boron nitride journal May 2021
AFM's path to atomic resolution journal May 2005
Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: From flat bands to weakly coupled Sachdev-Ye-Kitaev bundles journal August 2023
Moiré Modulation of Van Der Waals Potential in Twisted Hexagonal Boron Nitride journal April 2022
Relaxation of moiré patterns for slightly misaligned identical lattices: graphene on graphite journal July 2015
A torsional resonance mode AFM for in-plane tip surface interactions journal August 2004
Moiré commensurability and the quantum anomalous Hall effect in twisted bilayer graphene on hexagonal boron nitride journal February 2021
Localization of Dirac Electrons in Rotated Graphene Bilayers journal March 2010
Strange Metal in Magic-Angle Graphene with near Planckian Dissipation journal February 2020
Quantum Interference at the Twist Boundary in Graphene journal August 2008
van der Waals-Induced Chromatic Shifts in Hydrogen-Bonded Two-Dimensional Porphyrin Arrays on Boron Nitride journal September 2015

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