One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons

Hao, Lei

doi:10.1016/j.mseb.2023.116486

Cited by 3 publications

(2 citation statements)

References 114 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The graphene-like α − T 3 lattice has recently emerged as a contender for two-dimensional materials due to its low-energy Dirac cones and flat bands [1][2][3][4]. A unique feature of this material is that its quasiparticles exhibit a higher pseudospin S = 1 state [5], distinct from the 1/2 in graphene [6].…”

Section: Introductionmentioning

confidence: 99%

Nernst and seebeck effects in α−T3 lattice

Yan,

Wang,

2024

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

By using the tight-binding Hamiltonian and non-equilibrium Green’s function methods, the Seebeck and Nernst eﬀects of α-T3 lattice nanoribbons are investigated, in which the lattice interpolates between graphene and the dice lattice via the parameter α. It is found that for α=0, i.e. graphene, ﬂat bands are always present in the band structure. The Seebeck and Nernst coeﬃcients are consistent with those in graphene. When α is non-zero at zero magnetic ﬁeld, the Seebeck coeﬃcient is an odd function of the Fermi energy. It produces a very large and wide ﬁrst peak within the band gap for the zigzag boundary. Under the inﬂuence of magnetic ﬁelds, the ﬁrst peak of the Seebeck coeﬃcient in the bandgap region increases with α increasing. For the Nernst eﬀect, the zeroth peak of the Nernst coeﬃcient becomes very higher as α increases and then splits when α reaches a certain value. The post-split peak decreases with α increasing for the zigzag boundary, but continues to become wider and higher for the armchair boundary.

show abstract

Section: Introductionmentioning

confidence: 99%

Nernst and seebeck effects in α−T3 lattice

Yan,

Wang,

2024

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…A number of properties of finite size dice lattice quantum dots were studied in recent years. Among them are the description of distributions of edge currents in quantum dots [31], prediction appearance of Majorana corner states in the presence of Rashba coupling [32], size dependence of Landau levels formed in the ring made of α − T 3 lattice [33], analysis of the role of atomic effects in narrow zigzag ribbons [34], valley filtering [35,36] and dynamical formation of bound states by external driving [37] in α − T 3 lattice quantum dots. The formation of pseudo-Landau levels in nonuniform strain for triangular shaped quantum dots was discussed in [38].…”

Section: Introductionmentioning

confidence: 99%

Size effects on atomic collapse in the dice lattice

Oriekhov,

Voronov

2023

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

We study the role of size effects on atomic collapse of charged impurity in the flat band system. The tight-binding simulations are made for the dice lattice with circular quantum dot shapes. It is shown that the mixing of in-gap edge states with bound states in impurity potential leads to increasing the critical charge value. This effect, together with enhancement of gap due to spatial quantization, makes it more difficult to observe the dive-into-continuum phenomenon in small quantum dots. At the same time, we show that if in-gap states are filled, the resonant tunneling to bound state in the impurity potential might occur at much smaller charge, which demonstrates non-monotonous dependence with the size of sample lattice. In addition, we study the possibility of creating supercritical localized potential well on different sublattices, and show that it is possible only on rim sites, but not on hub site. The predicted effects are expected to naturally occur in artificial flat band lattices.

show abstract

Identifying Klein tunneling signatures in bearded Su-Schrieffer-Heeger lattices from bent flat bands

Betancur-Ocampo,

Monsivais

2024

Phys. Rev. B

View full text Add to dashboard Cite

One-dimensional flat bands and Dirac cones in narrow zigzag dice lattice ribbons

Cited by 3 publications

References 114 publications

Nernst and seebeck effects in α−T3 lattice

Nernst and seebeck effects in α−T3 lattice

Size effects on atomic collapse in the dice lattice

Identifying Klein tunneling signatures in bearded Su-Schrieffer-Heeger lattices from bent flat bands

Contact Info

Product

Resources

About