Tootfinder

Task Failed Successfully: The Cracked Columbia Takeover and Expulsion
The sputtering 18-hour barricade-aided takeover of Columbia University by Hamas supporters ended last night faster than Humpty Dumpty falling off the wall; of course, the occupier's task failed successfully only after being rightly pushed from the second story ledge of Hamilton Hall by NYPD riot officers. As a graduate of Columbia University, I was chagrined for the students who occupied Hamilton,…

On the Hartree-Fock Ground State Manifold in Magic Angle Twisted Graphene Systems
Kevin D. Stubbs, Simon Becker, Lin Lin
https://arxiv.org/abs/2403.19890 h…

On the Hartree-Fock Ground State Manifold in Magic Angle Twisted Graphene Systems
Recent experiments have shown that magic angle twisted bilayer graphene (MATBG) can exhibit correlated insulator behavior at half-filling. Seminal theoretical results towards understanding this phase in MATBG has shown that Hartree-Fock ground states (with a positive charge gap) can be exact many-body ground states of an idealized flat band interacting (FBI) Hamiltonian. We prove that in the absence of spin and valley degrees of freedom, the only Hartree-Fock ground states of the FBI Hamiltonia…

On the Hartree-Fock Ground State Manifold in Magic Angle Twisted Graphene Systems
Kevin D. Stubbs, Simon Becker, Lin Lin
https://arxiv.org/abs/2403.19890 h…

On the Hartree-Fock Ground State Manifold in Magic Angle Twisted Graphene Systems
Recent experiments have shown that magic angle twisted bilayer graphene (MATBG) can exhibit correlated insulator behavior at half-filling. Seminal theoretical results towards understanding this phase in MATBG has shown that Hartree-Fock ground states (with a positive charge gap) can be exact many-body ground states of an idealized flat band interacting (FBI) Hamiltonian. We prove that in the absence of spin and valley degrees of freedom, the only Hartree-Fock ground states of the FBI Hamiltonia…

I hear some guys really get off on that, though...
The only thing Johnson is getting out of his relationship with #Trump is humiliation - Alternet.org
https://www.alternet.org/mike-johnson-do…

The only thing Johnson is getting out of his relationship with Trump is humiliation
To be sure, relationships are complex. Political relationships are more complex. Still, I’m having a hard time seeing what Speaker of the House Mike Johnson is getting out of his with the criminal former president. I can see what Donald Trump is getting out of it – a flunky who is single-handedly b...

This https://arxiv.org/abs/2304.09155 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rainbow Hamiltonicity in uniformly coloured perturbed digraphs
We investigate the existence of a rainbow Hamilton cycle in a uniformly edge-coloured randomly perturbed digraph. We show that for every $δ\in (0,1)$ there exists $C = C(δ) > 0$ such that the following holds. Let $D_0$ be an $n$-vertex digraph with minimum semidegree at least $δn$ and suppose that each edge of the union of $D_0$ with the random digraph $D(n, p)$ on the same vertex set gets a colour in $[n]$ independently and uniformly at random. Then, with high probability, $D_0 \cup D(n, p)…

This https://arxiv.org/abs/2303.06238 has been replaced.
initial toot: https://mastoxiv.page/@a…

Light-induced Nonlinear Spin Hall Current in Single-layer WTe$_2$
In this theoretical investigation, we analyze light-induced nonlinear spin Hall currents in a gated single-layer 1T$'$-WTe$_2$, flowing transversely to the incident laser polarization direction. Our study encompasses the exploration of the second and third-order rectified spin Hall currents using an effective low-energy Hamiltonian and employing Kubo's formalism. We extend our analysis to a wide frequency range spanning both transparent and absorbing regimes, investigating the influence of ligh…

This https://arxiv.org/abs/2312.05732 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_qu…

Reply to "Comment on `Generalized James' effective Hamiltonian method'"
In the preceding Comment [1] it was claimed that the third-order Hamiltonian obtained in our original paper [2] is not Hermitian for general situations when considering time-dependence and the way of deriving the effective third-order expansion is not very rigorous. To reply the comment we should emphasize the following three points: first of all, the third-order Hamiltonian given in our paper is exactly Hermitian under the conditions mentioned there. Secondly, the iterative method adopted in o…

The good news is that the right people were on-site when it happened.
#Fire #Irony
https://www.chch…

This https://arxiv.org/abs/2304.09155 has been replaced.
initial toot: https://mastoxiv.page/@arXiv_mat…

Rainbow Hamiltonicity in uniformly coloured perturbed digraphs
We investigate the existence of a rainbow Hamilton cycle in a uniformly edge-coloured randomly perturbed digraph. We show that for every $δ\in (0,1)$ there exists $C = C(δ) > 0$ such that the following holds. Let $D_0$ be an $n$-vertex digraph with minimum semidegree at least $δn$ and suppose that each edge of the union of $D_0$ with the random digraph $D(n, p)$ on the same vertex set gets a colour in $[n]$ independently and uniformly at random. Then, with high probability, $D_0 \cup D(n, p)…

There's a constitutional apocalypse on the horizon. Don’t take it lying down - Alternet.org
https://www.alternet.org/constitutional-apocalypse/?anplus

There's a constitutional apocalypse on the horizon. Don’t take it lying down
(Editor’s note: The following first appeared in Dorf on Law, and is reposted with permission.)Alexander Hamilton explained in Federalist No. 78 the rationale for the Founding Fathers giving judges the power to strike down laws enacted by the legislature. He said the following:The courts were designe...