33 citations · 56 across the 9 of their papers we have counts for
9 papers
Bloch Oscillations and Landau-Zener Transitions in Flat-Band Lattices with Quadratic and Linear Band Touchings
Chenhaoyue Wang, Carlos J. Garcia-Cervera, Amartya S. Banerjee
Bloch oscillations (BOs) describe the coherent oscillatory motion of electrons in a periodic lattice under a constant external electric field. Deviations from pure harmonic wave pa…
Electronic structure models with 2D symmetries in the presence of magnetic fields
Carlos J. Garcia-Cervera, Salma Lahbabi, Abdallah Maichine
In this work, we characterize self-adjoint operators that commute with magnetic translations. We use this characterization to derive effective kinetic energy functionals for homoge…
Statistical Field Theory of Polarizable Polymer Chains with Nonlocal Dipolar Interactions
Pratik Khandagale, Carlos Garcia-Cervera, Gal deBotton +3
The electromechanical response of polymeric soft matter to applied electric fields is of fundamental scientific interest as well as relevant to technologies for sensing and actuati…
A fast convolution method for the fractional Laplacian in
Jorge Cayama, Carlota M. Cuesta, Francisco de la Hoz +1
In this article, we develop a new method to approximate numerically the fractional Laplacian of functions defined on , as well as some more general singular integrals. A…
Second-order semi-implicit projection methods for micromagnetics simulations
Changjian Xie, Carlos J. García-Cervera, Cheng Wang +2
Micromagnetics simulations require accurate approximation of the magnetization dynamics described by the Landau-Lifshitz-Gilbert equation, which is nonlinear, nonlocal, and has a n…
Sawtooth profile in smectic A liquid crystals
Carlos J. Garcia-Cervera, Tiziana Giorgi, Sookyung Joo
We study the de Gennes free energy for smectic A liquid crystals over -valued vector fields to understand the chevron (zigzag) pattern formed in the presence of an ap…
An atomistic/continuum coupling method using enriched bases
Jingrun Chen, Carlos J. García-Cervera, Xiantao Li
A common observation from an atomistic to continuum coupling method is that the error is often generated and concentrated near the interface, where the two models are combined. In…
Density-gradient-corrected embedded atom method
Gang Wu, Gang Lu, Carlos J. Garcia-Cervera +1
Through detailed comparisons between Embedded Atom Method (EAM) and first-principles calculations for Al, we find that EAM tends to fail when there are large electron density gradi…
A numerical study of the self-similar solutions of the Schroedinger Map
Francisco de la Hoz, Carlos Garcia-Cervera, Luis Vega
We present a numerical study of the self-similar solutions of the Localized Induction Approximation of a vortex filament. These self-similar solutions, which constitute a one-param…