journal article·2019-04-01Open access

Semiclassical Boltzmann transport theory of few-layer black phosphorus in various phases

Sanghyun Park, Seungchan Woo, Hongki Min

2D Materials· Volume 6· Issue 2

Abstract

Abstract Black phosphorus (BP), a two-dimensional (2D) van der Waals layered material composed of phosphorus atoms, has been one of the most actively studied 2D materials in recent years due to its tunable energy band gap (tunable even to a negative value) and its highly anisotropic electronic structure. Depending on the sign of the band gap tuning parameter, few-layer BP can be in a gapped insulator phase, gapless Dirac semimetal phase, or gapless semi-Dirac transition point between the two phases. Using the fully anisotropic multiband Boltzmann transport theory, we systematically study the dc conductivity of few-layer BP as a function of the carrier density and temperature by varying the band gap tuning parameter, and determine the characteristic density and temperature dependence corresponding to each phase.
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Research context

OpenAlex topics: 2D Materials and Applications · Thermal properties of materials · Graphene research and applications

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References (48)

Show source-provided references
1. The electronic properties of graphene10.1103/RevModPhys.81.109 ↗
2. Electronic transport in two-dimensional graphene10.1103/RevModPhys.83.407 ↗
3. Black phosphorus rediscovered: From bulk material to monolayers10.1002/anie.201610512 ↗
4. Low theoretical overview of black phosphorus10.1017/9781316681619.022 ↗
5. A new bandgap tuning knob10.1038/nphoton.2017.102 ↗
6. Optical tuning of exciton and trion emissions in monolayer phosphorene10.1038/lsa.2015.85 ↗
7. Significant effect of stacking on the electronic and optical properties of few-layer black phosphorus10.1103/PhysRevB.92.165406 ↗
8. Strong modulation of optical properties in black phosphorus through strain-engineered rippling10.1021/acs.nanolett.5b04670 ↗
9. Pressure-induced electronic transition in black phosphorus10.1103/PhysRevLett.115.186403 ↗
10. Efficient electrical control of thin-film black phosphorus bandgap10.1038/ncomms14474 ↗
11. Gate-tunable giant Stark effect in few-layer black phosphorus10.1021/acs.nanolett.6b05381 ↗
12. Tuning the electronic properties of gated multilayer phosphorene: a self-consistent tight-binding study10.1103/PhysRevB.97.155424 ↗
13. Observation of tunable band gap and anisotropic Dirac semimetal state in black phosphorus10.1126/science.aaa6486 ↗
14. Tight-binding modeling and low-energy behavior of the semi-dirac point10.1103/PhysRevLett.103.016402 ↗
15. Half-metallic semi-Dirac-point generated by quantum confinement in TiO2/VO2 Nanostructures10.1103/PhysRevLett.102.166803 ↗
16. Metal-insulator transition through a semi-Dirac point in oxide nanostructures: VO2 (0 0 1) layers confined within TiO210.1103/PhysRevB.81.035111 ↗
17. Two-dimensional dirac fermions protected by space-time inversion symmetry in black phosphorus10.1103/PhysRevLett.119.226801 ↗
18. Direct observation of a surface resonance state and surface band inversion control in black phosphorus10.1103/PhysRevB.97.045143 ↗
19. Emergent dirac carriers across a pressure-induced lifshitz transition in black phosphorus10.1103/PhysRevB.98.165111 ↗
20. Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics10.1038/ncomms5458 ↗
21. Nonlocal response and anamorphosis: the case of few-layer black phosphorus10.1021/acs.nanolett.5b03004 ↗
22. High field transport of high performance black phosphorus transistors10.1063/1.4982033 ↗
23. Long-term stability and reliability of black phosphorus field-effect transistors10.1021/acsnano.6b04814 ↗
24. High-mobility transport anisotropy and linear dichroism in few-layer black phosphorus10.1038/ncomms5475 ↗
25. Mobility anisotropy in monolayer black phosphorus due to scattering by charged impurities10.1103/PhysRevB.93.165402 ↗
26. Temperature-dependent anisotropic charge-carrier mobility limited by ionized impurity scattering in thin-layer black phosphorus10.1103/PhysRevB.95.165446 ↗
27. Electronic and transport properties of n-type monolayer black phosphorus at low temperatures10.1103/PhysRevB.95.115436 ↗
28. Thermoelectric transport in monolayer phosphorene10.1103/PhysRevB.95.045422 ↗
29. Diffusion of dirac fermions across a topological merging transition in two dimensions10.1103/PhysRevB.93.125113 ↗
30. Quasiparticle band structure and tight-binding model for single- and bilayer black phosphorus10.1103/PhysRevB.89.201408 ↗
31. Multilayered black phosphorus: from a tight-binding to a continuum description10.1103/PhysRevB.96.155427 ↗
32. Emergence of two-dimensional massless dirac fermions, chiral pseudospins, and berrys phase in potassium doped few-layer black phosphorus10.1021/acs.nanolett.5b04106 ↗
33. Dirac-semimetal phase diagram of two-dimensional black phosphorus10.1088/2053-1583/aa6835 ↗
34. Merging of dirac points in a two-dimensional crystal10.1103/PhysRevB.80.153412 ↗
35. A universal hamiltonian for motion and merging of dirac points in a two-dimensional crystal10.1140/epjb/e2009-00383-0 ↗
36. Manipulation of dirac points in graphene-like crystals10.1016/j.physb.2012.01.072 ↗
37. Marder · 201010.1002/9780470949955 ↗
38. Properties of electrons in semiconductor inversion layers with many occupied electric subbands. I. Screening and impurity scattering10.1103/PhysRevB.2.1024 ↗
39. Large negative differential transconductance in multilayer graphene: the role of intersubband scattering10.1088/2053-1583/aa6e33 ↗
40. Anisotropic transport in a two-dimensional electron gas in the presence of spin–orbit coupling10.1103/PhysRevB.68.165311 ↗
41. Semiclassical framework for the calculation of transport anisotropies10.1103/PhysRevB.79.045427 ↗
42. Semiclassical Boltzmann transport theory for multi-Weyl semimetals10.1103/PhysRevB.95.161113 ↗
43. Ashcroft · 1976
44. Arfken · 2012
45. A self-consistent theory for graphene transport10.1073/pnas.0704772104 ↗
46. Disorder-induced temperature-dependent transport in graphene: puddles, impurities, activation, and diffusion10.1103/PhysRevB.84.115442 ↗
47. Transport and magnetotransport in three-dimensional weyl semimetals10.1103/PhysRevB.92.245120 ↗
48. Optical conductivity of black phosphorus with a tunable electronic structure