Taming the Electron-Phonon Beast
![For an 8-site, 8-electron system, a density matrix renormalization group (DMRG) and functional-renormalization-based embedding method accurately trace the ground state energy across weak and strong coupling regimes, with observed deviations at low [latex]U[/latex] and high [latex]g[/latex] attributable to mean-field overstabilization of charge density wave order-an effect that dissipates within the Mott insulating phase.](https://arxiv.org/html/2603.11463v1/x5.png)
A novel computational approach efficiently simulates the complex interplay between electrons and vibrations in strongly correlated materials.
![For an 8-site, 8-electron system, a density matrix renormalization group (DMRG) and functional-renormalization-based embedding method accurately trace the ground state energy across weak and strong coupling regimes, with observed deviations at low [latex]U[/latex] and high [latex]g[/latex] attributable to mean-field overstabilization of charge density wave order-an effect that dissipates within the Mott insulating phase.](https://arxiv.org/html/2603.11463v1/x5.png)
A novel computational approach efficiently simulates the complex interplay between electrons and vibrations in strongly correlated materials.

Pi Network has finished updating its core technology with the v20.2 protocol. The upgrade was completed on March 12, 2026, earlier than expected, before the planned Pi Day launch.
![The geometry of a wormhole, described by [latex] \mathbb{R} \times S^{1} [/latex], is visualized as a cylindrical structure of length [latex] L_{0} [/latex] and radius [latex] a [/latex], where the boundaries-circles of radius [latex] a [/latex] at [latex] z = \pm L_{0}/2 [/latex]-represent the points of contact between the flat Minkowski spaces and the wormhole itself.](https://arxiv.org/html/2603.11724v1/x1.png)
New research explores how quantum fluctuations of energy can impact the viability of traversable wormholes, challenging our understanding of these theoretical shortcuts through spacetime.

Age of Empires 2: Definitive Edition isn’t a perfect historical simulation – it’s a fast-paced strategy game, and that’s okay. Still, it’s really enjoyable to try and recreate historical battles within the game’s limitations. I’ve spent a lot of time doing just that, with mixed results, and I’ve also looked at how the game itself attempts historical accuracy in its scenarios, like the Battle of Toro. It’s a fun challenge to work around the game’s rules and make things happen with the tools available. While Age of Empires 2 excels at smaller, quick battles, trying to recreate large, complex campaigns doesn’t really work. In fact, the game is often best enjoyed with a defensive, ‘turtling’ playstyle, if that’s your preference.
A novel framework leveraging lattice structures and discrete symmetries offers a compelling explanation for the observed patterns in fundamental particle masses and mixing.

As increasingly sophisticated AI agents take on more complex tasks, understanding and mitigating their inherent security risks is paramount.

And lo, the trading volume swelled like a mighty river, surging past $1.7 billion, a testament to the frenzied zeal of those who chase the elusive promise of wealth. The token, once a mere whisper in the crypto realm, now roared with the fervor of a thousand speculators, each one convinced they had discovered the secret to eternal prosperity.

Researchers have discovered a way to create and maintain persistent spin textures in a quasi-two-dimensional material, opening doors for energy-efficient spintronic devices.
Cryptocurrency Stacks ranks 98 place by market capitalization. The price of STX has decreased by 80.42% from the maximum value on 1 April 2024. Today the price for 1 STX is 0.255 USD. Yesterday the rate was 0.256 USD for 1 Stacks. STX/USD traded in the range of 0.254 – 0.256. The difference compared to the previous day was -0.39%.
Cryptocurrency NEXO ranks 97 place by market capitalization. The price of NEXO has decreased by 66.65% from the maximum value on 12 May 2021. Today the price for 1 NEXO is 0.901 USD. Yesterday the rate was 0.920 USD for 1 NEXO. NEXO/USD traded in the range of 0.897 – 0.901. The difference compared to the previous day was -2.07%.