Pressure-induced phase transitions and superconductivity in a black phosphorus single crystal

Abstract

We report a thorough study of the transport properties of the normal and superconducting states of black phosphorus (BP) under magnetic field and high pressure with a large-volume apparatus that provides hydrostatic pressure to induce transitions from the layered A17 phase to the layered A7 phase and to the cubic phase of BP. Quantum oscillations can be observed at ≥ 1 GPa in both resistivity and Hall voltage, and their evolutions with pressure in the A17 phase imply a continuous enlargement of Fermi surface. A significantly large magnetoresistance (MR) at low temperatures is observed in the A7 phase that becomes superconducting below a superconducting transition temperature ∼ 6-13 K. increases continuously with pressure on crossing the A7 to the cubic phase boundary. The strong MR effect can be fit by a modified Kohler's rule. A correlation between and fitting parameters suggests that phonon-mediated interactions play dominant roles in driving the Cooper pairing, which is further supported by our density functional theory (DFT) calculations. The change of effective carrier mobility in the A17 phase under pressure derived from the MR effect is consistent with that obtained from the temperature dependence of the quantum oscillations. In situ single-crystal diffraction under high pressure indicates a total structural reconstruction instead of simple stretching of the A17 phase layers in the A17-to-A7-phase transition. This finding helps us to interpret transport properties on crossing the phase transition under high pressure.

Strain-engineered widely tunable perfect absorption angle in black phosphorus from first principles

“…With proper tailoring of the elastomeric vertical edges, equal strain can be exerted throughout BP layer. For larger strains, we assume that the bulk BP undergoes strain values that do not exceed 10%, thus maintaining the more energetically stable allotrope, consistent with previous theoretical studies [59][60][61]. Nevertheless, exerting strain values on the order of 10% can be challenging in practice with current experimental capabilities [61].…”

“…For larger strains, we assume that the bulk BP undergoes strain values that do not exceed 10%, thus maintaining the more energetically stable allotrope, consistent with previous theoretical studies [59][60][61]. Nevertheless, exerting strain values on the order of 10% can be challenging in practice with current experimental capabilities [61]. For larger systems, the strain may become inhomogeneous under specific situations.…”

An Empirical Model of Submicrocrystalline Structure Formation and Hardening upon Severe Plastic Deformation in Iron

“…In mentioned above paper by Fietz and Webb [6], authors proposed to use a scaling in form of power law for the pinning force Fp vs reduced magnetic field B/Bc2. This approach is in a wide use since then [13][14][15][16][17][18], as well as decomposition of complicated temperature dependences in superconductivity and normal conductors in a sum of reduced polynomic values [19,20]. Thus, it is very convenient to use analytical form for hardness vs strain function in a form:…”

Classifying Charge Carrier Interaction in Highly Compressed Elements and Silane

“…Wittig and Matthias reported T c = 4.7 K [ 34 ] for this element when subjected to P ~ 10 GPa. Since the superconducting state of this element in a high-pressure condition is still under intensive theoretical and experimental investigation [ 35 , 36 , 37 ], we here report results of the revealed charge carrier interaction in this highly compressed superconducting element through the analysis of R ( T ) data.…”