arXiv subjects

Mingjing Zhang

Publications and source records attributed to Mingjing Zhang.

4 recordsLinked to original sources

arXiv2024

Representations of non-finitely graded Heisenberg-Virasoro type Lie algebras

We construct and study non-finitely graded Lie algebras $\mathcal{HV}(a,b;ε)$ related to Heisenberg-Virasoro type Lie algebras, where $a,b$ are complex numbers, and $ε= \pm 1$. Using combinatorial techniques, we completely classify the free $\mathcal{U}(\mathfrak h)$-modules of rank one over $\mathcal{HV}(a,b;ε)$. It turns out that these modules are more varied and complex than those over non-finitely graded Virasoro algebras, and in particular admit infinitely many free parameters if $b=1$ and $ε=-1$. Meanwhile, we also determine the simplicity and isomorphism classes of these modules.

math.RT↗

arXiv2024

Representations of non-finitely graded Lie algebras related to Virasoro algebra

In this paper, we study representations of non-finitely graded Lie algebras $\mathcal{W}(ε)$ related to Virasoro algebra, where $ε= \pm 1$. Precisely speaking, we completely classify the free $\mathcal{U}(\mathfrak h)$-modules of rank one over $\mathcal{W}(ε)$,and find that these module structures are rather different from those of other graded Lie algebras. We also determine the simplicity and isomorphism classes of these modules.

math.RT↗

arXiv2022

Outer Automorphism Groups of Simple Lie Algebras and Symmetries of Painted Diagrams

For a real semisimple Lie algebra, we consider its automorphism group quotient by its identity component. This is known as the outer automorphism group. In this article, we compute the outer automorphism groups of all real semisimple Lie algebras.

math.RT↗

arXiv2018

Liquid Epitaxial Growth of Two-dimensional Non-layer structured hybrid Perovskite

The hybrid perovskite CH3NH3PbX3 (X= Cl, Br, I) is a promising material for developing novel optoelectronic devices. Owing to the intrinsic non-layer structure, it remains challenging to synthesize molecularly thin CH3NH3PbX3 with large size. Here, we report a low-cost and highly efficient fabrication route to obtain large-scale single-crystalline 2D CH3NH3PbX3 perovskites on a mica substrate via liquid epitaxy. The 2D perovskite is characterized as 8 nm in thickness and hundreds of micrometers in lateral size. First-principles calculations suggest the strong potassium-halogen interactions at the perovskite/mica interface lower the interface energy of perovskites, driving their fast in-plane growth. Spectroscopic investigations reveal 2D CH3NH3PbBr3 possess small exciton binding energy of 30 meV, allowing a superior visible-light photodetector with a photoresponsivity of 126 A/W and a bandwidth exceeded 80 kHz. These features demonstrate that liquid epitaxy is a bottom-up approach to fabricate the non-layer structured 2D perovskites, which offer a new material platform for the device applications and fundamental investigations.

cond-mat.mtrl-sci↗