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Title: Anisotropic in-plane thermal conductivity of black phosphorus nanoribbons at temperatures higher than 100 K

Journal Article · · Nature Communications
DOI:https://doi.org/10.1038/ncomms9573· OSTI ID:1256041
 [1];  [2];  [1];  [3];  [1];  [2];  [1];  [3];  [1];  [1];  [4];  [5]; ;  [6];  [2];  [3];  [7]
  1. Univ. of California, Berkeley, CA (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Arizona State Univ., Mesa, AZ (United States)
  4. Stanford Univ., CA (United States)
  5. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  6. Institute of Materials Research and Engineering (Singapore). A*STAR
  7. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Black phosphorus attracts enormous attention as a promising layered material for electronic, optoelectronic and thermoelectric applications. Here we report large anisotropy in in-plane thermal conductivity of single-crystal black phosphorus nanoribbons along the zigzag and armchair lattice directions at variable temperatures. Thermal conductivity measurements were carried out under the condition of steady-state longitudinal heat flow using suspendedpad micro-devices. We discovered increasing thermal conductivity anisotropy, up to a factor of two, with temperatures above 100 K. A size effect in thermal conductivity was also observed in which thinner nanoribbons show lower thermal conductivity. Analysed with the relaxation time approximation model using phonon dispersions obtained based on density function perturbation theory, the high anisotropy is attributed mainly to direction-dependent phonon dispersion and partially to phonon-phonon scattering. Our results revealing the intrinsic, orientation-dependent thermal conductivity of black phosphorus are useful for designing devices, as well as understanding fundamental physical properties of layered materials.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-11ER46796; AC02-05CH11231
OSTI ID:
1256041
Alternate ID(s):
OSTI ID: 1407299
Journal Information:
Nature Communications, Vol. 6; ISSN 2041-1723
Publisher:
Nature Publishing GroupCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 246 works
Citation information provided by
Web of Science

References (71)

Effect of van der Waals interactions on the structural and elastic properties of black phosphorus journal July 2012
Projector augmented-wave method journal December 1994
Layer-controlled band gap and anisotropic excitons in few-layer black phosphorus journal June 2014
Anisotropic Thermal Conductivity of Pyrolytic Graphite journal August 1962
Band structure and optical properties of black phosphorus journal April 1984
Lattice Thermal Conductivity of Disordered Semiconductor Alloys at High Temperatures journal September 1963
Nonvolatile Memory Cells Based on MoS 2 /Graphene Heterostructures journal March 2013
Strongly anisotropic in-plane thermal transport in single-layer black phosphorene journal February 2015
Thermal properties of graphene and nanostructured carbon materials journal August 2011
Temperature-Gated Thermal Rectifier for Active Heat Flow Control journal July 2014
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Thermal conductivity of germanium crystals with different isotopic compositions journal October 1997
Coexistence of size-dependent and size-independent thermal conductivities in phosphorene journal December 2014
Lattice thermal conductivity of graphene nanoribbons: Anisotropy and edge roughness scattering journal April 2011
Orientation Dependent Thermal Conductance in Single-Layer MoS2 journal July 2013
Extraordinary Photoluminescence and Strong Temperature/Angle-Dependent Raman Responses in Few-Layer Phosphorene journal August 2014
Thermoelectric power of bulk black-phosphorus journal January 2015
Anisotropic thermal conductivity of MoS 2 nanoribbons: Chirality and edge effects journal May 2014
Measurement of Ultrasound Velocity in the Single Crystal of Black Phosphorus up to 3.3 GPa Gas Pressure journal May 1991
Anisotropic intrinsic lattice thermal conductivity of phosphorene from first principles journal January 2015
Lattice Dynamics of Black Phosphorus. I. Valence Force Field Model journal April 1986
The electronic properties of graphene journal January 2009
Wave packet simulations of phonon boundary scattering at graphene edges journal July 2012
Phosphorene nanoribbon as a promising candidate for thermoelectric applications journal September 2014
Giant Phononic Anisotropy and Unusual Anharmonicity of Phosphorene: Interlayer Coupling and Strain Engineering journal February 2015
Thermal Conductivity of Elements with Complex Lattices: B, P, S journal July 1965
Two-dimensional gas of massless Dirac fermions in graphene journal November 2005
Black Phosphorus as Strain Gauge and Pressure Transducer journal December 1964
Vertical field-effect transistor based on graphene–WS2 heterostructures for flexible and transparent electronics journal December 2012
Measuring Thermal and Thermoelectric Properties of One-Dimensional Nanostructures Using a Microfabricated Device journal September 2003
In-plane thermal conductivity of disordered layered WSe2 and (W)x(WSe2)y superlattice films journal October 2007
Phonon thermal conductivity of monolayer MoS 2 sheet and nanoribbons journal September 2013
Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set journal July 1996
Phonons and related crystal properties from density-functional perturbation theory journal July 2001
Enhanced Thermoelectric Efficiency via Orthogonal Electrical and Thermal Conductances in Phosphorene journal September 2014
Electronics and optoelectronics of two-dimensional transition metal dichalcogenides journal November 2012
Experimental evidence of very long intrinsic phonon mean free path along the c -axis of graphite journal January 2015
Thermal conductance of graphene and dimerite journal May 2009
Thermal transport in graphene journal August 2012
Intrinsic anisotropy of thermal conductance in graphene nanoribbons journal December 2009
Van der Waals Density Functional for General Geometries journal June 2004
Hinge-like structure induced unusual properties of black phosphorus and new strategies to improve the thermoelectric performance journal November 2014
Lattice vibrational modes and Raman scattering spectra of strained phosphorene journal August 2014
Advances in Thermal Conductivity journal August 2012
Black phosphorus field-effect transistors journal March 2014
First-principles calculations of the ferroelastic transition between rutile-type and CaCl 2 -type SiO 2 at high pressures journal October 2008
Electronic Bandgap and Edge Reconstruction in Phosphorene Materials journal October 2014
Tuning of the electronic and optical properties of single-layer black phosphorus by strain journal November 2014
High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus journal July 2014
Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics journal July 2014
Anisotropic in-plane thermal conductivity observed in few-layer black phosphorus journal October 2015
Strongly anisotropic in-plane thermal transport in single-layer black phosphorene. text January 2018
High-resolution X-ray luminescence extension imaging journal February 2021
An Information Theory-Inspired Strategy for Design of Re-programmable Encrypted Graphene-based Coding Metasurfaces at Terahertz Frequencies journal April 2018
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect journal February 2020
Strongly anisotropic in-plane thermal transport in single-layer black phosphorene. text January 2015
Thermal conductance of graphene and dimerite text January 2009
Nonvolatile Memory Cells Based on MoS2/Graphene Heterostructures text January 2013
High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus text January 2014
Hinge-like structure induced unusual properties of black phosphorus and new strategies to improve the thermoelectric performance text January 2014
Lattice Vibrational Modes and Raman Scattering Spectra of Strained Phosphorene text January 2014
Thermoelectric power of bulk black-phosphorus text January 2014
Thermal Conductivity and Phonon Scattering by Magnetic Impurities in CdTe journal January 1964
Phonon heat conduction in layered anisotropic crystals journal February 2015
Effect of van der Waals interactions on the structural and elastic properties of black phosphorus text January 2012
Vertical Field Effect Transistor based on Graphene-WS2 Heterostructures for flexible and transparent electronics text January 2012
Orientation Dependent Thermal Conductance in Single-Layer MoS2 text January 2013
Enhanced Thermoelectric Efficiency via Orthogonal Electrical and Thermal Conductances in Phosphorene text January 2014
Phosphorene nanoribbon as a promising candidate for thermoelectric applications text January 2014
Anisotropic intrinsic lattice thermal conductivity of phosphorene from first principles text January 2014
Van der Waals Density Functional for General Geometries text January 2004

Cited By (79)

Preparation of Highly Stable Black Phosphorus by Gold Decoration for High-Performance Thermoelectric Generators journal May 2018
High Mobility Anisotropic Black Phosphorus Nanoribbon Field-Effect Transistor journal May 2018
Thickness-Dependent Carrier Transport Characteristics of a New 2D Elemental Semiconductor: Black Arsenic journal August 2018
Progress, Challenges, and Opportunities for 2D Material Based Photodetectors journal September 2018
Thermal Transport in 2D Semiconductors—Considerations for Device Applications journal August 2019
Large-Size 2D β-Cu 2 S Nanosheets with Giant Phase Transition Temperature Lowering (120 K) Synthesized by a Novel Method of Super-Cooling Chemical-Vapor-Deposition journal July 2016
Black Arsenic: A Layered Semiconductor with Extreme In-Plane Anisotropy journal June 2018
Probing the Physical Origin of Anisotropic Thermal Transport in Black Phosphorus Nanoribbons journal August 2018
Anisotropic Thermal Boundary Resistance across 2D Black Phosphorus: Experiment and Atomistic Modeling of Interfacial Energy Transport journal June 2019
The Optical Properties and Plasmonics of Anisotropic 2D Materials journal September 2019
Emerging Trends in Phosphorene Fabrication towards Next Generation Devices journal February 2017
Applications of Phosphorene and Black Phosphorus in Energy Conversion and Storage Devices journal December 2017
Black Phosphorus Quantum Dot/Ti 3 C 2 MXene Nanosheet Composites for Efficient Electrochemical Lithium/Sodium-Ion Storage journal August 2018
Functionalized Black Phosphorus Nanocomposite for Biosensing journal January 2019
Emerging in‐plane anisotropic two‐dimensional materials journal March 2019
Thickness-Dependent In-Plane Thermal Conductivity and Enhanced Thermoelectric Performance in p-Type ZrTe 5 Nanoribbons journal November 2018
Anisotropic Spectroscopy and Electrical Properties of 2D ReS 2(1- x ) Se 2 x Alloys with Distorted 1T Structure journal January 2017
2D Black Phosphorus for Energy Storage and Thermoelectric Applications journal June 2017
Thermal Engineering in Low-Dimensional Quantum Devices: A Tutorial Review of Nonequilibrium Green's Function Methods journal April 2018
The Linearly Temperature-Dependent Thermal Conductivity Across the Transition Temperature of Polycrystalline YBa2Cu3O6.9 journal June 2019
Phosphorene: Current status, challenges and opportunities journal June 2019
Supported black phosphorus nanosheets as hydrogen-evolving photocatalyst achieving 5.4% energy conversion efficiency at 353 K journal April 2018
Production of phosphorene nanoribbons journal April 2019
Superior lattice thermal conductance of single-layer borophene journal June 2017
Recent progress in 2D group-VA semiconductors: from theory to experiment journal January 2018
Environmental stability of 2D anisotropic tellurium containing nanomaterials: anisotropic to isotropic transition journal January 2017
Modulation of electronic and magnetic properties of edge hydrogenated armchair phosphorene nanoribbons by transition metal adsorption journal January 2018
Anomalous isoelectronic chalcogen rejection in 2D anisotropic vdW TiS 3(1−x) Se 3x trichalcogenides journal January 2018
Anisotropic ultraviolet-plasmon dispersion in black phosphorus journal January 2018
Design of phosphorene/graphene heterojunctions for high and tunable interfacial thermal conductance journal January 2018
Highly sensitive detection of polarized light using a new group IV–V 2D orthorhombic SiP journal January 2018
In-plane anisotropic electronics based on low-symmetry 2D materials: progress and prospects journal January 2020
Two-dimensional group-VA nanomaterials beyond black phosphorus: synthetic methods, properties, functional nanostructures and applications journal January 2019
Measurement of anisotropic thermal conductivity of a dense forest of nanowires using the 3 ω method journal August 2018
Anisotropic thermal conductivity measurement using a new Asymmetric-Beam Time-Domain Thermoreflectance (AB-TDTR) method journal August 2018
Black phosphorus with a unique rectangular shape and its anisotropic properties journal October 2018
Facile bottom-up synthesis of partially oxidized black phosphorus nanosheets as metal-free photocatalyst for hydrogen evolution journal March 2018
Phonon thermal conduction in novel 2D materials journal September 2016
Weak antilocalization effect in exfoliated black phosphorus revealed by temperature- and angle-dependent magnetoconductivity journal February 2018
Ab initio effective deformation potentials of phosphorene and consistency checks journal May 2018
Raman scattering studies on very thin layers of gallium sulfide (GaS) as a function of sample thickness and temperature journal January 2019
Thermal transport properties of single-layer black phosphorus from extensive molecular dynamics simulations journal October 2018
Closed-edged bilayer phosphorene nanoribbons producing from collapsing armchair phosphorene nanotubes journal January 2018
Hybrid nanocomposites of 2D black phosphorus nanosheets encapsulated in PMMA polymer material: new platforms for advanced device fabrication journal May 2018
Quasi-bonding driven abnormal isotropic thermal transport in intrinsically anisotropic nanostructure: a case of study of a phosphorus nanotube array journal December 2019
Mid-infrared ultrafast carrier dynamics in thin film black phosphorus journal June 2017
The rising star of 2D black phosphorus beyond graphene: synthesis, properties and electronic applications journal October 2017
Highly anisotropic solar-blind UV photodetector based on large-size two-dimensional α -MoO 3 atomic crystals journal June 2018
Highly anisotropic thermoelectric properties of black phosphorus crystals journal July 2019
Graphene related materials for thermal management journal October 2019
Isotropic charge screening of anisotropic black phosphorus revealed by potassium adatoms journal August 2019
Supersonic thermal excitation-induced shock wave in black phosphorene journal April 2017
Anomalously low electronic thermal conductivity in metallic vanadium dioxide journal January 2017
Optical properties of black phosphorus journal January 2016
Biaxial hyperbolic metamaterials using anisotropic few-layer black phosphorus journal January 2018
Anisotropic thermal conductivity in direction-specific black phosphorus nanoflakes journal September 2019
Raman Characterization on Two-Dimensional Materials-Based Thermoelectricity journal December 2018
Self‐Healable Black Phosphorus Photodetectors journal September 2019
Anisotropic Nonlinear Optical Properties of a SnSe Flake and a Novel Perspective for the Application of All‐Optical Switching journal July 2019
Perspectives on Thermoelectricity in Layered and 2D Materials journal September 2018
Black Phosphorus‐Based Semiconductor Heterojunctions for Photocatalytic Water Splitting journal January 2020
Black Phosphorus Nanosheets: Synthesis, Characterization and Applications journal May 2016
Chemical synthesis of two-dimensional atomic crystals, heterostructures and superlattices journal January 2018
Recent advances in black phosphorus-based photonics, electronics, sensors and energy devices journal January 2017
Rapid synthesis of ultrathin 2D materials through liquid-nitrogen and microwave treatments journal January 2019
Machine learning a bond order potential model to study thermal transport in WSe 2 nanostructures journal January 2019
Basal-plane thermal conductivity of nanocrystalline and amorphized thin germanane journal September 2016
Observation of polarization and thickness dependent third-harmonic generation in multilayer black phosphorus journal December 2016
Thermal conductivity anisotropy in nanostructures and nanostructured materials journal February 2018
Resonant bonding driven giant phonon anharmonicity and low thermal conductivity of phosphorene journal October 2016
Electronic and Optoelectronic Applications Based on 2D Novel Anisotropic Transition Metal Dichalcogenides journal October 2017
Recent Advances in Black Phosphorus-Based Electronic Devices journal November 2018
Highly Polarized Photoelectrical Response in vdW ZrS 3 Nanoribbons journal May 2019
Colloquium : Phononic thermal properties of two-dimensional materials journal November 2018
Black Arsenic: A Layered Semiconductor with Extreme in-plane Anisotropy preprint January 2018
Anisotropic thermal conductivity measurement using a new Asymmetric-Beam Time-Domain Thermoreflectance (AB-TDTR) method text January 2018
Isotropic charge screening of the anisotropic black phosphorus revealed by potassium adatoms text January 2019
Large and Anisotropic Linear Magnetoresistance in Single Crystals of Black Phosphorus Arising From Mobility Fluctuations journal March 2016
A Perspective on Recent Advances in Phosphorene Functionalization and its Application in Devices text January 2019

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