Transport evidence of mass-less Dirac fermions in (Cd_1−x−yZn_xMn_y)₃As₂ (x + y = 0.4)

Abstract

Charge carriers parameters on a 2D-layer surface for (Cd 1−x−y Zn x Mn y ) 3 As 2 (y=0.08) (the concentration n D 2 =1.9×10 12 cm -2 , the effective value of the 2D-layer = d n n

Linear dispersion of Dirac fermions in (Cd1–x–yZnxMny)3As2, х+y = 0.2, у = 0.02, 0.04, 0.06, 0.08 solid solutions

“…As can be seen from figure 5, presented experimental data in [15,16,[26][27][28][29][30] and obtained data in this work corresponded to a linear theoretical dependence (straight line), which indicated the existence of massless Dirac fermions.…”

“…The observation of Shubnikov-de Haas (SdH) oscillations while investigating the magnetoresistance of CZMA single crystals allowed us to define the effective mass of charge carriers and compare the Shubnikov, n Sh , and Hall, n h , charge carrier concentrations. In CZMA single crystals, this ratio was close to unity, which indirectly indicated the quality of the studied single crystals [9][10][11][14][15][16].…”

“…CZMA solid solutions has the potential to become extremely useful in the development of electronic devices using twodimensional electron gas [12,13]. For the effective use in electronic appliances, it is essential to determine the characteristics of charge carriers not only as it was done in [10,11], but also taking into account topological properties, notably in recent works devoted to these materials [9,[14][15][16].…”

“…However, to provide a full understanding of the properties of a two-dimensional electron gas in a 3D topological material, we have to know such characteristics as the concentration of charge carriers in the surface 2D layer, n 2D , relaxation time, τ, carrier velocity on the Fermi surface, v f , effective 2D-mobility m , D 2 the dependence of the reduced cyclotron mass m c /m 0 , on the Fermi wave vector k F , which determines the kinetic properties of the electron system and allows to calculate the Fermi energy, carrier velocity, density of localized states, as well as the effective g-factor, which characterizes Zeeman splitting of charge-carrier states in a magnetic field. These characteristics were obtained from Shubnikov-de Haas measurements by SdH oscillations in a magnetic field [14][15][16]. As shown in [15,16], the SdH oscillations are particularly suitable for properties study of a topological insulator and the Berry phase in a 2D conducting channel, which does not depend on the direction of the magnetic field with respect to the vector of the current density flowing through the sample.…”

“…These characteristics were obtained from Shubnikov-de Haas measurements by SdH oscillations in a magnetic field [14][15][16]. As shown in [15,16], the SdH oscillations are particularly suitable for properties study of a topological insulator and the Berry phase in a 2D conducting channel, which does not depend on the direction of the magnetic field with respect to the vector of the current density flowing through the sample.…”