Band Bending and Valence Band Quantization at Line Defects in MoS2.

The variation of the electronic structure normal to 1D defects in quasi-freestanding MoS2, grown by molecular beam epitaxy, is investigated through high resolution scanning tunneling spectroscopy at 5K. Strong upwards bending of valence and conduction bands towards the line defects is found for the 4|4E mirror twin boundary and island edges, but not for the 4|4P mirror twin boundary. Quantized energy levels in the valence band are observed wherever upwards band bending takes place. Focusing on the common 4|4E mirror twin boundary, density functional theory calculations give an estimate of its charging, which agrees well with electrostatic modelling. We show that the line charge can also be assessed from the filling of the boundary-localized electronic band and the charge induced by the polarization discontinuity across the defect. These calculations elucidate the origin of band bending and charging at these 1D defects in Mo2. The 4|4E mirror twin boundary not only impairs charge transport of electrons and holes due to band bending, but holes are additionally subject to a large potential barrier, which is inferred from the independence of the quantized energy landscape on each side of the boundary.

[1]  H. Bender,et al.  Grain-Boundary-Induced Strain and Distortion in Epitaxial Bilayer MoS2 Lattice , 2020 .

[2]  M. Mouis,et al.  Electron transport properties of mirror twin grain boundaries in molybdenum disulfide: Impact of disorder , 2019, Physical Review B.

[3]  S. Pennycook,et al.  Point Defects and Localized Excitons in 2D WSe2. , 2018, ACS nano.

[4]  A. Krasheninnikov,et al.  Tomonaga-Luttinger Liquid in a Box: Electrons Confined within MoS2 Mirror-Twin Boundaries , 2019, Physical Review X.

[5]  T. Michely,et al.  Comprehensive tunneling spectroscopy of quasifreestanding MoS2 on graphene on Ir(111) , 2019, Physical Review B.

[6]  M. Batzill Mirror twin grain boundaries in molybdenum dichalcogenides , 2018, Journal of physics. Condensed matter : an Institute of Physics journal.

[7]  W. Yue,et al.  Optical Properties of Graphene/MoS2 Heterostructure: First Principles Calculations , 2018, Nanomaterials.

[8]  Kenji Watanabe,et al.  Correction to Weakly Trapped, Charged, and Free Excitons in Single-Layer MoS2 in the Presence of Defects, Strain, and Charged Impurities. , 2018, ACS Nano.

[9]  D. Smirnov,et al.  Narrow photoluminescence and Raman peaks of epitaxial MoS2 on graphene/Ir(1 1 1) , 2018, 2D Materials.

[10]  S. Du,et al.  Bandgap broadening at grain boundaries in single-layer MoS2 , 2018, Nano Research.

[11]  P. Mallet,et al.  Band-bending induced by charged defects and edges of atomically thin transition metal dichalcogenide films , 2018, 2D Materials.

[12]  C. Giorgio,et al.  Evolution of Metastable Defects and Its Effect on the Electronic Properties of MoS2 Films , 2018, Scientific Reports.

[13]  Chenhui Yan,et al.  Charging effect at grain boundaries of MoS2 , 2018, Nanotechnology.

[14]  R. Saito,et al.  Origin of band bending at domain boundaries of MoS2: First-principles study , 2018 .

[15]  M. L. Van de Put,et al.  Dielectric properties of hexagonal boron nitride and transition metal dichalcogenides: from monolayer to bulk , 2018, npj 2D Materials and Applications.

[16]  Zijing Ding,et al.  Strain Modulation by van der Waals Coupling in Bilayer Transition Metal Dichalcogenide. , 2018, ACS nano.

[17]  T. Michely,et al.  Molecular beam epitaxy of quasi-freestanding transition metal disulphide monolayers on van der Waals substrates: a growth study , 2018 .

[18]  Chih-Kang Shih,et al.  Strain distributions and their influence on electronic structures of WSe2–MoS2 laterally strained heterojunctions , 2018, Nature Nanotechnology.

[19]  Kenji Watanabe,et al.  Weakly Trapped, Charged, and Free Excitons in Single-Layer MoS2 in the Presence of Defects, Strain, and Charged Impurities. , 2017, ACS nano.

[20]  A. Krasheninnikov,et al.  Engineering the Electronic Properties of Two‐Dimensional Transition Metal Dichalcogenides by Introducing Mirror Twin Boundaries , 2017 .

[21]  M. Batzill,et al.  Metallic Twin Grain Boundaries Embedded in MoSe2 Monolayers Grown by Molecular Beam Epitaxy. , 2017, ACS nano.

[22]  M. Terrones,et al.  Optical identification of sulfur vacancies: Bound excitons at the edges of monolayer tungsten disulfide , 2017, Science Advances.

[23]  J. Levy,et al.  Physics of SrTiO3-based heterostructures and nanostructures: a review. , 2017, Reports on progress in physics. Physical Society.

[24]  T. Michely,et al.  Core level shifts of intercalated graphene , 2016 .

[25]  Brian D Gerardot,et al.  Deterministic strain-induced arrays of quantum emitters in a two-dimensional semiconductor , 2016, Nature Communications.

[26]  Hua Yu,et al.  The Effect of Twin Grain Boundary Tuned by Temperature on the Electrical Transport Properties of Monolayer MoS2 , 2016, Crystals.

[27]  Kenji Watanabe,et al.  Modulation of electrical potential and conductivity in an atomic-layer semiconductor heterojunction , 2016, Scientific Reports.

[28]  B. Yakobson,et al.  Carrier Delocalization in Two-Dimensional Coplanar p-n Junctions of Graphene and Metal Dichalcogenides. , 2016, Nano letters.

[29]  M. Hersam,et al.  Point Defects and Grain Boundaries in Rotationally Commensurate MoS2 on Epitaxial Graphene , 2016, 1604.00682.

[30]  S. Chae,et al.  Misorientation-angle-dependent electrical transport across molybdenum disulfide grain boundaries , 2016, Nature Communications.

[31]  O. Yazyev,et al.  Spin- and valley-polarized transport across line defects in monolayer MoS2 , 2016, 1606.06753.

[32]  J. Tersoff,et al.  Visualizing band offsets and edge states in bilayer–monolayer transition metal dichalcogenides lateral heterojunction , 2015, Nature Communications.

[33]  M. Pruneda,et al.  Polar discontinuities and 1D interfaces in monolayered materials , 2015 .

[34]  Xiaolong Zou,et al.  Metallic High-Angle Grain Boundaries in Monolayer Polycrystalline WS2. , 2015, Small.

[35]  M. Gibertini,et al.  Emergence of One-Dimensional Wires of Free Carriers in Transition-Metal-Dichalcogenide Nanostructures. , 2015, Nano letters.

[36]  T. Kimoto Material science and device physics in SiC technology for high-voltage power devices , 2015 .

[37]  Andrew T. S. Wee,et al.  Bandgap tunability at single-layer molybdenum disulphide grain boundaries , 2015, Nature Communications.

[38]  Qiliang Li,et al.  Phase transition, effective mass and carrier mobility of MoS2 monolayer under tensile strain , 2015 .

[39]  Li Yang,et al.  Interfacial Properties of Monolayer and Bilayer MoS2 Contacts with Metals: Beyond the Energy Band Calculations , 2015, Scientific Reports.

[40]  Chendong Zhang,et al.  Probing Critical Point Energies of Transition Metal Dichalcogenides: Surprising Indirect Gap of Single Layer WSe2. , 2014, Nano letters.

[41]  Lei Liu,et al.  Spatially resolved one-dimensional boundary states in graphene–hexagonal boron nitride planar heterostructures , 2014, Nature Communications.

[42]  G. Pizzi,et al.  Engineering polar discontinuities in honeycomb lattices , 2014, Nature Communications.

[43]  P. Ajayan,et al.  Electrical transport properties of polycrystalline monolayer molybdenum disulfide. , 2014, ACS nano.

[44]  Soo Ho Choi,et al.  Layer-number-dependent work function of MoS2 nanoflakes , 2014 .

[45]  Farhan Rana,et al.  Absorption of light by excitons and trions in monolayers of metal dichalcogenide Mo S 2 : Experiments and theory , 2014, 1402.0263.

[46]  Chendong Zhang,et al.  Direct imaging of band profile in single layer MoS2 on graphite: quasiparticle energy gap, metallic edge states, and edge band bending. , 2014, Nano letters.

[47]  S. Blügel,et al.  The backside of graphene: manipulating adsorption by intercalation. , 2013, Nano letters.

[48]  Jing Kong,et al.  Intrinsic structural defects in monolayer molybdenum disulfide. , 2013, Nano letters.

[49]  Timothy C. Berkelbach,et al.  Grains and grain boundaries in highly crystalline monolayer molybdenum disulphide. , 2013, Nature materials.

[50]  Xiaolong Zou,et al.  Predicting dislocations and grain boundaries in two-dimensional metal-disulfides from the first principles. , 2013, Nano letters.

[51]  C. D. Walle,et al.  Effects of strain on band structure and effective masses in MoS$_2$ , 2012 .

[52]  Xiaofeng Qian,et al.  Strain-engineered artificial atom as a broad-spectrum solar energy funnel , 2012, Nature Photonics.

[53]  J. Mannhart,et al.  Oxide Interfaces—An Opportunity for Electronics , 2010, Science.

[54]  Kwang S. Kim,et al.  Tuning the graphene work function by electric field effect. , 2009, Nano letters.

[55]  T. Michely,et al.  Selecting a single orientation for millimeter sized graphene sheets , 2009, 0907.3580.

[56]  J. Brink,et al.  First-principles study of the interaction and charge transfer between graphene and metals , 2009, 0902.1203.

[57]  T. Michely,et al.  Dirac cones and minigaps for graphene on Ir(111). , 2008, Physical review letters.

[58]  T. Michely,et al.  Structural coherency of graphene on Ir(111). , 2008, Nano letters.

[59]  Stefan Grimme,et al.  Semiempirical GGA‐type density functional constructed with a long‐range dispersion correction , 2006, J. Comput. Chem..

[60]  G. Henkelman,et al.  A fast and robust algorithm for Bader decomposition of charge density , 2006 .

[61]  Marek Skowronski,et al.  Degradation of hexagonal silicon-carbide-based bipolar devices , 2006 .

[62]  Akira Ohtomo,et al.  A high-mobility electron gas at the LaAlO3/SrTiO3 heterointerface , 2004, Nature.

[63]  M. Morgenstern PROBING THE LOCAL DENSITY OF STATES OF DILUTE ELECTRON SYSTEMS IN DIFFERENT DIMENSIONS , 2003 .

[64]  Burke,et al.  Generalized Gradient Approximation Made Simple. , 1996, Physical review letters.

[65]  G. Kresse,et al.  Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set , 1996 .

[66]  Hafner,et al.  Ab initio molecular dynamics for open-shell transition metals. , 1993, Physical review. B, Condensed matter.

[67]  D. Vanderbilt,et al.  Electric polarization as a bulk quantity and its relation to surface charge. , 1993, Physical review. B, Condensed matter.

[68]  William J. Kaiser,et al.  Scanning Tunneling Microscopy , 2019, CIRP Encyclopedia of Production Engineering.