Emulating tightly bound electrons in crystalline solids using mechanical waves

F Ramírez-Ramírez, E Flores-Olmedo, G Báez… - Scientific Reports, 2020 - nature.com
Solid state physics deals with systems composed of atoms with strongly bound electrons.
The tunneling probability of each electron is determined by interactions that typically extend …

Tight-binding model for torsional and compressional waves in high-quality coupled-resonator phononic metamaterials

JA López-Toledo, G Báez… - Mechanics of Advanced …, 2022 - Taylor & Francis
A tight-binding theoretical model which describes the vibration properties of a new type of
mechanical metamaterial, the coupled-resonator phononic metamaterial (CRPM), is …

On the electronic structure of benzene and borazine: an algebraic description

Y Hernández-Espinosa… - Journal of Physics B …, 2020 - iopscience.iop.org
The spectrum of a hexagonal ring is analysed using concepts of group theory and a tight-
binding model with first, second and third neighbours. The two doublets in the spectrum are …

Frequency filter for elastic bending waves: Poincaré map method and experiment

JC Torres-Guzmán, A Arreola-Lucas… - Journal of …, 2021 - academic.oup.com
In this work, the Poincaré map numerical method was successfully developed to solve the
fourth-order differential equation that describes the flexural vibrations of a beam, within the …

A simple example of the tunnelling effect in periodic elastic structures

A Hvatov, S Sorokin - European Journal of Mechanics-A/Solids, 2023 - Elsevier
The phenomenon of tunnelling manifests itself in many branches of physics. It is generated
by the presence of turning points, where the wave undergoes a transition from cut-on to cut …

Control de las vibraciones de una rejilla metálica de 9 celdas: simulaciones numéricas

DM Cortés Reyna - 2023 - riaa.uaem.mx
En esta tesis se estudia una estructura mecánica que llamamos molécula artificial elástica.
La molécula artificial está compuesta por 9 resonadores, en un arreglo de 3× 3, conectados …