analiza aiqbench
This research investigates the macroscopic magnetoelectric response of axion topological insulators using surface variable techniques and boundary finite element methods. By deriving exact analytic solutions for axial-symmetric geometries, the study provides a rigorous mathematical framework to describe effective surface charges and currents in these quantum materials under external fields. The work advances our theoretical understanding of how topology influences electromagnetic responses at material boundaries without introducing speculative applications or hype.
Surface Variables Description of Axion Topological Materials
arXiv:2607.10509v1 Announce Type: cross Abstract: We study the response of axion topological materials under the presence of external static electric and magnetic fields. We focus on the macroscopic quasi-static magnetoelectric response of topological insulators. We use techniques based on surface variables that have been previously employed in soft condensed matter problems for the description of heterogeneous systems composed of multiple homogeneous materials. A complete description of the whole system is written in terms of surface degrees of freedom, which in this case correspond to effective surface charge and surface current densities. We obtain a set of integral equations satisfied by these variables. We present exact analytic solutions for axial-symmetric cases. We develop a numerical method for the solution of the integral equations by means of a boundary finite element method. We apply the numerical method to topological insulators with different geometries such as spheres, hollow spheres and toroidal surfaces. We show that that a variational principle can be used to recover the surface variables equations.
Abstract:We study the response of axion topological materials under the presence of external static electric and magnetic fields. We focus on the macroscopic quasi-static magnetoelectric response of topological insulators. We use techniques based on surface variables that have been previously employed in soft condensed matter problems for the description of heterogeneous systems composed of multiple homogeneous materials. A complete description of the whole system is written in terms of surface degrees of freedom, which in this case correspond to effective surface charge and surface current densities. We obtain a set of integral equations satisfied by these variables. We present exact analytic solutions for axial-symmetric cases. We develop a numerical method for the solution of the integral equations by means of a boundary finite element method. We apply the numerical method to topological insulators with different geometries such as spheres, hollow spheres and toroidal surfaces. We show that that a variational principle can be used to recover the surface variables equations.
Materials Science (cond-mat.mtrl-sci); Other Condensed Matter (cond-mat.other); High Energy Physics - Theory (hep-th); Applied Physics (physics.app-ph); Quantum Physics (quant-ph)
arXiv:2607.10509 [cond-mat.mtrl-sci]
(or arXiv:2607.10509v1 [cond-mat.mtrl-sci] for this version)
From: Francisco J. Solis [view email] [v1] Sun, 12 Jul 2026 00:01:26 UTC (1,003 KB)
Text integral sub licența deschisă a publicației · 202 cuvinte
Subiecte conexe
Michelle Simmons, The Physicist Behind Australia’s First Quantum Computing Company
Quantum Zeitgeist · 30 aug. 2026
Which Of The Following Have Quantized Values
islahnews.net · 30 iul. 2026
Automated Reasoning policy refinement in Amazon Bedrock
AWS · 3 aug. 2026
Scientists get closer to 4D quantum Hall effect with new method
Quantum Zeitgeist · 13 aug. 2026