Peculiar electronic states, symmetries, and Berry phases in irradiated materials

A Iurov, G Gumbs, D Huang - Physical Review B, 2019 - APS
We have laid out the results of a rigorous theoretical investigation into the response of
electron dressed states, ie, interacting Floquet states arising from the off-resonant coupling …

Hall quantization and optical conductivity evolution with variable Berry phase in the model

E Illes, JP Carbotte, EJ Nicol - Physical Review B, 2015 - APS
The α-T 3 model is characterized by a variable Berry phase that changes continuously from
π to 0. We take advantage of this property to highlight the effects of this underlying …

Dualities and non-Abelian mechanics

M Fruchart, Y Zhou, V Vitelli - Nature, 2020 - nature.com
Dualities are mathematical map**s that reveal links between apparently unrelated
systems in virtually every branch of physics,,,,,,–. Systems mapped onto themselves by a …

Magnetic properties of the model: Magneto-optical conductivity and the Hofstadter butterfly

E Illes, EJ Nicol - Physical Review B, 2016 - APS
The α-T 3 model interpolates between the pseudospin S= 1/2 honeycomb lattice of
graphene and the pseudospin S= 1 dice lattice via parameter α. We present calculations of …

Frequency-dependent polarizability, plasmons, and screening in the two-dimensional pseudospin-1 dice lattice

JD Malcolm, EJ Nicol - Physical Review B, 2016 - APS
We calculate the dynamic polarizability under the random phase approximation for the dice
lattice. This two-dimensional system gives rise to massless Dirac fermions with pseudospin …

Enhanced magneto-optical response due to the flat band in nanoribbons made from the lattice

YR Chen, Y Xu, J Wang, JF Liu, Z Ma - Physical Review B, 2019 - APS
We study the optical response of nanoribbons made from the α− T 3 lattice under a weak
magnetic field in the terahertz to far-infrared regime. It is found that the magnetic field can …

Thermopower of the dice lattice

HL Liu, L Hao, J Wang, JF Liu - Physical Review B, 2023 - APS
The Dice lattice structure is similar to the graphene honeycomb lattice, but with an
imbalance atom in each hexagon center giving rise to a dispersionless flat band, which …

Nonlinear optical response of the model due to the nontrivial topology of the band dispersion

L Chen, J Zuber, Z Ma, C Zhang - Physical Review B, 2019 - APS
We study the electronic contribution to the nonlinear optical response of the α-T 3 model.
This model is an interpolation between a graphene (α= 0) and dice (α= 1) lattice. Using a …

Generalized WKB theory for electron tunneling in gapped lattices

N Weekes, A Iurov, L Zhemchuzhna, G Gumbs… - Physical Review B, 2021 - APS
We generalize Wentzel-Kramers-Brillouin (WKB) semiclassical equations for pseudospin-1
α− T 3 materials with arbitrary hop** parameter 0< α< 1, which includes the dice lattice …

Quantum spin Hall phase transition in the lattice

J Wang, JF Liu - Physical Review B, 2021 - APS
We report a theoretic study of the topological properties of the α-T 3 lattice by taking the
intrinsic spin orbit interaction into account. It is shown that when 0< α< 1, the electronic band …