Beyond the Toric Code: Mapping Self-Dual Transitions
![The study of a deformed toric code reveals a “multi-critical” point-where two Ising transitions converge on the self-dual line [latex]h_x = h_z[/latex]-leading to a topologically trivial phase characterized by spontaneous self-duality symmetry breaking, demonstrating how complex systems can transition between ordered states through precisely defined critical configurations.](https://arxiv.org/html/2601.20945v1/x1.png)
A new theoretical framework reveals a deeper connection between self-dual Higgs transitions and the emergence of exotic topological orders.
Bitget’s BTC Hoard: A Comedy of Reserves and Folly!
In this theater of crypto, Bitget hath played the role of the prudent hoarder, amassing Bitcoin with a zeal that would make even the most frugal miser blush. Despite the tempestuous winds of market volatility, our protagonist, led by the intrepid CEO Gracy Chen, hath clung to its accumulation strategy with the tenacity of a barnacle on a shipwreck.
Dungeons and Dragons Best Barbarian Path Tier List
Similar to other character classes in Dungeons & Dragons, Barbarians select a special Path at level three. This choice significantly changes how they play, typically by altering their Rage ability. While all Barbarians are strong in combat, some Paths are more effective than others.
GameRant Daily Crossword Mini (February 2, 2026)
— Daily Crossword — Loading… 00:00 Clues Results 0 — More Games{“2026-02-02”: [ { “id”: “1”, “direction”: “down”, “start”: “B1”, “end”: “B7”, “solution”: “PARABLE”, “clue”: “Narrative-driven indie game about a man who works in an office. The Stanley ___ (7)” }, { “id”: “2”, “direction”: “down”, “start”: “D1”, “end”: “D7”, “solution”: “SUPPORT”, “clue”: “Role responsible … Read more
GameRant Daily Crossword (February 2, 2026)
— Daily Crossword — Loading… 00:00 Clues Results 0 — More Games{“2026-02-02”: [ { “id”: “1”, “direction”: “down”, “start”: “B1”, “end”: “B15”, “solution”: “COLONIALMARINES”, “clue”: “2013 Alien game developed by Gearbox Software (8,7)” }, { “id”: “2”, “direction”: “down”, “start”: “D1”, “end”: “D8”, “solution”: “ENDLAYER”, “clue”: “2015 3DS sequel. Bravely Second: ___ (3,5)” }, { … Read more
Name That Game (February 2, 2026)
Name That Game Easy (15s)Medium (10s)Hard (5s) — QUESTION 1/1 Results 0 — [ [1, “image”, “https://static0.gamerantimages.com/wordpress/wp-content/uploads/2025/12/looking-at-a-sea-shrine-in-ghost-of-tsushima-2020.jpg”, “Which game is this?”, “Ghost of Tsushima”, “Assassin’s Creed Valhalla”, “Rise of the Ronin”, “Ghost of Yotei” ], [2, “image”, “https://static0.gamerantimages.com/wordpress/wp-content/uploads/2026/01/exploring-the-world-in-horizon-zero-dawn-2017.jpg”, “Which game is this?”, “Horizon Zero Dawn”, “Horizon Forbidden West”, “Immortals Fenyx Rising”, “Avatar: Frontiers of Pandora” … Read more
A Brewing Storm Aburrey Quarry Quest In Arknights Endfield
To start the “A Brewing Storm” quest in Arknights: Endfield, head to Aburrey Quarry and locate the elevator just north of the Stockpile Area.
VALORANT Night Market Skins List for February 2026
Here’s a look at all the VALORANT skins that will be available in the Night Market this February. Check them out to see if there’s anything you’d like to get!
ZywOo and S1mple’s Long-Awaited Reunion Ends with BCG’s IEM Krakow Bracket Switch
Honestly, it felt like this was going to happen – it wasn’t a huge surprise. It’s interesting because s1mple had previously said ZywOo was the player who reminded him most of himself when he was at his absolute best, so maybe it was always on the cards.
How XRP’s Rollercoaster Ride Could Still End in a $7 Victory Lap
According to the wise sage of numbers, Egrag Crypto, on the grand monthly stage, XRP has bravely tested the sacred support zone around $1.60-$1.61, with a daring dip as low as $1.50. Yet, like a phoenix rising from the ashes, it closed the month above $1.60 and waddled into February at a sprightly $1.66, proving that buyers are still very much alive and kicking around this level.