Novel transport properties of the α-T3 lattice with uniform electric and magnetic fields

Abstract

We report a theoretical study of electronic transport properties of α-T3 lattice nanoribbons in the presence of uniform electric and magnetic fields. Landau levels with an unexcepted fashion are obtained in the system, and unique flat bands are observed due to the crossed electric and magnetic fields. We found that the nondispersive flat band of α-T3 lattice is distorted and split to many dispersive energy levels when electric and magnetic fields are applied. A double constriction structure of α-T3 lattice is considered to investigate the quantum transport in the flat band, and novel quantum transport properties are obtained, which shows great differences from conventional Dirac electrons. Our results show that the flat bands of α-T3 lattice can also contribute to the quantum transport properties and play an important role in the development of novel Dirac electron device.

Nernst and seebeck effects in α−T3 lattice

“…We consider the α − T 3 lattice of the zigzag and armchair boundary in the two-terminal and four-terminal systems, respectively. In the tight-binding representation, the Hamiltonian of the α − T 3 lattice nanoribbons is expressed as [46,55]…”

Optical conductivity of gapped α−T3 materials with a deformed flat band

“…the energy range for which a nonzero optical conductivity exists, the wave function components in Eqs. ( 8)- (10) actually quantify the magnitude of the frequency dependence in the same optical conductivity.…”

“…(B4) for matrix diagonalization, can be built from the component of eigen-function defined in Eqs. ( 8)- (10), leading to Appendix C: Green's functions and spectral functions for a gapped dice lattice.…”

The anisotropic transport properties of the three-terminal ballistic junction based on α−T 3 lattice

“…Moreover, the recent experiment has reported that the Hg 1−x Cd x Te at critical doping can be mapped into the α−T 3 lattice model with α 1 3 = [23]. The additional atoms of the α−T 3 leads to many fascinating properties [24][25][26][27]. One peculiar feature is the nondispersed fat band, as shown in figure 1(c) where an additional flat band that passes through the Dirac point.…”