Hexagonal Boron Nitride (H-BN) As a Substrate for Graphene
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Physics in 2D Materials Taro WAKAMURA (Université Paris-Saclay) Lecture 5 Today’s Topics Lecture 5 (final):h-BN/Black Phosphorus/Xene 5.1 hexagonal Boron-Nitride 5.2 Black Phosphorus 5.3 Xene Hexagonal boron nitride Hexagonal Boron-Nitride (h-BN) Hexagonal boron nitride (h-BN) as a substrate for graphene Hexagonal boron nitride Two dimensional van-der Waals insulator Easy to exfoliate (Large band gap ~ 6 eV) Atomically flat, less charge traps, small lattice mismatch with graphene Good candidate as a substrate for graphene! Hexagonal Boron-Nitride (h-BN) Disorders that reduce mobility also come from resist residues Graphene protected from external environment should have better mobility Graphene encapsulated by h-BNs Hexagonal boron-nitride (h-BN) is an ideal material as a substrate for graphene: flat, flee from charge inhomogeneity Graphene encapsulated from two h- BNs should be flee from resist residues, charged impurities. L. Wang, Science 342, 614 (2013). Hexagonal Boron-Nitride (h-BN) Transport measurements of graphene on h-BN Moiré pattern is clearly observed by AFM images Additional peaks are observed in Rxx Signature of the secondary Dirac points away from the original Dirac point Sign changes of Rxy around the secondary Dirac points Switch between electron & hole nature of mass- less fermions around the secondary Dirac points M. Yankowitz et al., Nat. Phys. 8, 382 (2012). Hexagonal Boron-Nitride (h-BN) Report on growth of high quality h-BN High-quality h-BN single crystals were successfully grown around 1600℃ and 5 GPa Strong cathodoluminescence signal at 215 nm = 5.765 eV (ultraviolet) More than 1000 times stronger than indirect free exciton luminescence h-BN has a direct bandgap K. Watanabe et al., Nat. Mater. 3, 404 (2004). 谷口 尚 他, 高圧力の科学と技術 15, 4 (2005). Hexagonal Boron-Nitride (h-BN) Nature Materials 2004 Nature Photonics 2016 Hexagonal Boron Nitride Black phosphorus Introduction to phosphorus Xene: graphene “like” 2D materials Borophene Phospherene Silicene Arsenene Germanene Antimonene Stanene Bismuthene Plumbene Black phosphorus vs graphene F. Xia et al., Nat. Rev. Phys. 1, 306 (2019). Graphene: hexagonal structure & flat Black Phosphorus: two fold symmetry & puckered Stronger electronic coupling between layers More difficult to exfoliate Physical properties of black phosphorus Black phosphorus: Semiconductor Band gap: 2 eV (monolayer = phosphorene) 0.2 eV (bulk) Band gap (~0.2 eV) for 5-nm-thick device L. Li et al., Nat. Nanotech 9, 372 (2014). Thickness-dependent properties Transition metal dichalcogenides (TMDs) Difference between monolayer and bulk Bulk (crystal): Indirect band-gap semiconductor Monolayer: Direct band-gap semiconductor Band gap is located at the K (K’) point. Similar to graphene with Dirac cones at K (K’) points Slight difference of the lattice constant (bulk 3.135 A, monolayer 3.193 A) H. Terrones et al., Sci. Rep. 3, 1549 (2013). Physical properties of black phosphorus Band structure as a function of # of layers BP is always direct band-gap semiconductor A. Carvalho et al., Nat. Rev. Mat. 1, 1 (2016). Semiconducting TMDCs Physical properties of black phosphorus Electronic properties High on-off ratio (105 current modulation) 4 orders of magnitude larger than conventional Si-based transistor Steeper increase of current with Vg Current L. Li et al., Nat. Nanotech 9, 372 (2014). Gate voltage Physical properties of black phosphorus “Bipolar” current Both carrier types are accessible Hole carrier Mobility can reach up to 1000 cm2V-1s-1 Hall Hall coefficient Electron carrier Gate voltage L. Li et al., Nat. Nanotech 9, 372 (2014). Physical properties of black phosphorus Bandgap tuning by double gating Device with 4 nm thick BP + top & Bottom gate F. Xia et al., Nat. Rev. Phys. 1, 306 (2019). Physical properties of black phosphorus BP pn-junction 6-7 nm VP on the local gates Gate-defined pn junctions are possible For global gating, strong modulation of Ids is observed M. Buscema et al., Nat. Commun. 5, 4651 (2014). Physical properties of black phosphorus BP pn-junction Depending on the combination of electron or hole-doped gating between the two local gates, NP or PN junctions are possible Clear diode effect is observed for NP or PN junctions M. Buscema et al., Nat. Commun. 5, 4651 (2014). Physical properties of black phosphorus Photocurrent/voltage under illumination M. Buscema et al., Nat. Commun. 5, 4651 (2014). pn-junction generates finite photocurrent (ISC) with zero voltage bias pn-junction generates finite photovoltage (VOC) with open circuit condition Physical properties of black phosphorus I-V characteristic under illumination: Increasing zero-bias I & open-circuit V Zero-bias I & open-circuit V (photocurrent & voltage) are observed at l in the near infrared range. M. Buscema et al., Nat. Commun. 5, 4651 (2014). Brief summary Hexagonal Boron-Nitride (h-BN) is an insulator with a large gap (~6 eV) and good for encapsulating other 2D materials Black Phosphorus (BP) is a direct gap semiconductor, independent of the thickness. The bandgap decreases with increasing thickness. BP has a puckered structure and is not flat. It is also anisotropic in 2D. BP has a gap and relatively high mobility (~103 cm2V-1s-1), therefore a good candidate for FET Xene Introduction to xene Xene: graphene “like” 2D materials Borophene Phospherene Silicene Arsenene Germanene Antimonene Stanene Bismuthene Plumbene Introduction to xene p-bonding Xene is not flat due to a mixed sp2-sp3 character of bonding Free-standing xene is usually not flat sp2 Larger lattice constant prevents p-bonding sp3 Silicene Silicene: Si counterpart of graphene Slightly buckled structure is the most stable Semimetal & Dirac cone exists at K point M. Houssa et al., J. Phys. Cond. Mat. 27, 253002 (2015). Silicene The most conventional substrate for the growth of Silicene: Ag(111) Similar lattice constant 4x4 buckled structure is formed Dirac cone like spectrum is observed by ARPES measurements M. Houssa et al., J. Phys. Cond. Mat. 27, 253002 (2015). Silicene Silicene FET Silicene: Usually grown on a metallic substrate (e.g. Ag(111)) Transport measurements are difficult because of current shunting Silicene grown on Ag(111) and capped by Al2O3 can be delaminated by a blade Ag layer can be used as electrodes after chemical etching with KI L. Tao et al., Nat. Nanotech. 10, 227 (2015). Silicene Linear I-V character: Ohmic contact between silicene and Ag Dirac peak like graphene is clearly observed L. Tao et al., Nat. Nanotech. 10, 227 (2015). Germanene Most stable state: Buckled honeycomb structure Regardless of the buckling, the Dirac cone exists at K points Similar to graphene Smaller p-bonding results in smaller splitting between bonding and antibonding states A. Acun et al., J. Phys. Cond. Mat. 27, 443002 (2015). A. Acun et al., J. Phys. Cond. Mat. 27, 443002 (2015). Germanene Bilayer graphene: AB stacking is naturally stable Bilayer germanene: AA stacking is naturally stable, similar bonding strength for inter- and intra-layer bonding Difficult to exfoliate AB stacking AA stacking Germanene Germanene can be grown by MBE on metallic substrates e.g. Pt(111), Au(111), Al(111) A. Acun et al., J. Phys. Cond. Mat. 27, 443002 (2015). Germanene on Pt(111) Germanene on Al(111) C. -C. Liu et al., Phys. Rev. Lett. 107, 076802 (2011). Topological properties of silicene and germanene Effective Hamiltonian for planar silicene Same as graphene Buckling enhances p-s coupling Increasing effective SOI Planar Silicene Low-buckled Silicene C. -C. Liu et al., Phys. Rev. Lett. 107, 076802 (2011). Topological properties of silicene and germanene Topological gap engineering via buckling or strain More than one order of magnitude enhancement C. -C. Liu et al., Phys. Rev. Lett. 107, 076802 (2011). Topological properties of silicene and germanene Similar enhancement of the topological gap is possible Gap can be as large as 23.9 meV Nearly RT quantum spin Hall effect! Planar Germanene Low-buckled Germanene Introduction to xene Xene: graphene “like” 2D materials Borophene Phospherene Silicene Arsenene Germanene Antimonene Stanene Bismuthene Plumbene Spin-orbit interaction depends on atomic number The biggest advantage of graphene for spin transport Atomic Number Compared to silicene and germanene (based on Si and Ge), stanine (based on Sn) should be a better candidate as a 2D TI Topological properties of stanene Y. Xu et al., Phys. Rev. Lett. 111, 136804 (2013). Stanene: Topologically nontrivial (2D TI) Topological gap can be enhanced by chemical functionalization Functionalized stanenes (except by –H) exhibit enhanced topological gaps Topological properties of stanene Stanene: Band inversion occurs at K point Fulorinated Stanene: The bands are gapped at K, and the band inversion occurs at G point Stanane (with hydrogen): The bands are gapped at K and no band inversion at G Topologically nontrivial Y. Xu et al., Phys. Rev. Lett. 111, 136804 (2013). Topological properties of stanene Band inversion occurs between bonding state of p-orbitals and anti-bonding state of s-orbital of Sn Strongly depends on strain Y. Xu et al., Phys. Rev. Lett. 111, 136804 (2013). Epitaxial growth of stanene F. -f. Zhu et al., Nat. Mater. 14, 1020 (2015). Bi2Te 3 (111) Similar lattice constant to that of stanene Good candidate for the growth of stanene STM images Modeled structure Epitaxial growth of stanene Band structure of stanine on Bi2Te 3(111) F. -f. Zhu et al., Nat. Mater. 14, 1020 (2015). Stanene on Bi2Te 3(111) Compressive strain Compressive strain makes stanine metallic No signatures of QSH state DFT results (Red: Stanene bands) Superconducting stanene Two states of bulk Sn: a-Sn & b-Sn a-Sn: Stable in thin limit, but semimetallic & non-superconductive b-Sn: Superconductive in bulk, but unstable in thin limit Stanene on PbTe: a-phase M. Liao et al., Nat. Phys. 14, 344 (2018). Superconducting stanene Tc of stanene strongly depends on the number of the layer Tc of stanene also depends on the number of the layer of PbTe M.