Xiong Fan

collaborators

2 papers

cond-mat.str-el2023

Quantization Condition of the Bound States in $n$ th-order Schrödinger equations

Xiong Fan

We prove a general approximate quantization rule $\int_{L_{E}}^{R_{E}} k_{0} (x)$ $d x = (N + \frac{1}{2}) π$ or $\oint k_{0} (x)$ $d x = (2 N + 1) π$ (including both forward and backward processes)…

cond-mat.mtrl-sci2015

Tunable Electronic Band Structures and Zero-Energy Modes of Heterosubstrate-induced Graphene Superlattices

Xiong Fan, Wenjun Huang, Tianxing Ma +1

We propose a tunable electronic band gap and zero-energy modes in periodic heterosubstrate-induced graphene superlattices. Interestingly, there is an approximate linear relation be…

Quantization Condition of the Bound States in nth-order Schrödinger equations

Tunable Electronic Band Structures and Zero-Energy Modes of Heterosubstrate-induced Graphene Superlattices

Quantization Condition of the Bound States in $n$ th-order Schrödinger equations