Publications (8)
Intrinsic Even-Odd Thickness-Driven Anomalous Hall in Epitaxial MnBi2Te4 Thin Films
Debarghya Mallick, Simon Kim, An-Hsi Chen +12
We demonstrate precise control of magnetism in MnBi2Te4 thin films through careful synthesis by molecular beam epitaxy, achieving minimal defects and accurate layer thickness contr…
Nucleation and Antiphase Twin Control in BiSe via Step-Terminated AlO Substrates
Alessandro R. Mazza, Jia Shi, Gabriel A. Vázquez-Lizardi +18
The epitaxial synthesis of high-quality 2D layered materials is an essential driver of both fundamental physics studies and technological applications. BiSe, a prototypical…
The Chromospheric Response to the Sunquake generated by the X9.3 Flare of NOAA 12673
Sean Quinn, Aaron Reid, Mihalis Mathioudakis +3
Active region NOAA 12673 was extremely volatile in 2017 September, producing many solar flares, including the largest of solar cycle 24, an X9.3 flare of 06 September 2017. It has…
A Non-commutative Real Nullstellensatz Corresponds to a Non-commutative Real Ideal; Algorithms
Jaka Cimpric, Bill Helton, Scott McCullough +1
This article takes up the challenge of extending the classical Real Nullstellensatz of Dubois and Risler to left ideals in a *-algebra A. After introducing the notions of non-commu…
Noncommutative Harmonic and Subharmonic Polynomials and other Noncommutative Partial Differential Equations
Christopher Nelson
Solutions to Laplace's equation are called harmonic functions. Harmonic functions arise in many applications, such as physics and the theory of stochastic processes. Of interest cl…
Real Nullstellensatze and *-ideals in *-algebras
Jakob Cimpric, J. William Helton, Scott McCullough +1
Let F denote either the real or complex field. An ideal I in the free *-algebra F<x,x*> in g freely noncommuting variables and their formal adjoints is a *-ideal if I = I*. When a…
On real one-sided ideals in a free algebra
Jakob CimpriÄ, J. William Helton, Igor Klep +2
In classical and real algebraic geometry there are several notions of the radical of an ideal I. There is the vanishing radical defined as the set of all real polynomials vanishing…
Sub-nm2 ferroelectric domains via charged 180 degree walls in ZrO2
Nashrah Afroze, Hamoon Fahrvandi, Guodong Ren +31
Flat phonon bands in fluorite ferroelectrics (HfO2 or ZrO2) shrink polar domains laterally to an irreducible half-unit-cell width (0.27 nm) within which the vertical arrangement of…