On a large class of lattices (such as the sawtooth chain, the kagome and the pyrochlore
lattices), the quantum Heisenberg and the repulsive Hubbard models may host a completely …

We calculate the Hall conductivity of a Sierpiński carpet using Kubo-Bastin formula. The
quantization of Hall conductivity disappears when we increase the depth of the fractal, and …

Singular and nonsingular flat bands in a Sierpinski fractal‐like photonic lattice are reported.
It is demonstrated that the lowest two bands, being isolated and degenerate due to …

Disorder effects on topological materials in integer dimensions have been extensively
explored in recent years. However, its influence on topological systems in fractional …

The flat band system is an ideal quantum platform to investigate the kaleidoscope created by
the electron–electron correlation effects. The central ingredient of realizing a flat band is to …

For the first time, a photonic super‐honeycomb lattice (sHCL) is established experimentally
by use of a continuous‐wave laser writing technique, and thereby two distinct flatband line …

Tetragonal graphene (T-graphene) is a theoretically proposed dynamically stable, metallic
allotrope of graphene. In this theoretical investigation, a tight binding (TB) model is used to …

As an emerging complex two-dimensional structure, plane fractal has attracted much
attention due to its novel dimension-related physical properties. In this paper, we check the …

Exact construction of one electron eigenstates with flat, non-dispersive bands, and localized
over clusters of various sizes is reported for a class of quasi-one-dimensional looped …

In this work, we theoretically investigate the phenomenon of spin polarization in generalized
Sierpinski gasket (SPG) triangles ($\Delta NNN $, $\Delta FNN $, $\Delta FFN $, $\Delta FFF …